prompt stringlengths 233 829 | chosen stringlengths 161 1.33k | rejected stringlengths 92 2.25k | answer stringlengths 1 6 |
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You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle fou... | Step 1: First find the total number of seashells Mimi picked up, which is 2 dozen, or 2 x 12 = 24 seashells.
Step 2: Then find the number of seashells Kyle found, which is twice the number of seashells Mimi found, or 2 x 24 = 48 seashells.
Step 3: Now find the number of seashells Leigh grabbed, which is one-third of th... | Step 1: First find how many seashells Kyle found. Since he found twice as many as Mimi, he found 2 x 12 = 24 seashells.
Step 2: Next find how many seashells Leigh grabbed. She grabbed one-third of the seashells that Kyle found, so she grabbed 24 x (1/3) = 8 seashells.
Step 3: Finally, find how many seashells Leigh had ... | 16 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can ... | Step 1: First, let's determine how many days are in a week: 7 days.
Step 2: Then, let's calculate the total amount Emma spent during the week: 7 days x $8/day = $<<7*8=56>>56
Step 3: Then, let's calculate how much money is left in the account: $100 - $56 = $<<100-56=44>>44
Step 4: Then, let's determine how many $5 bill... | Step 1: Calculate how many days in the week there are: 7
Step 2: Multiply the number of days in the week by the amount of money she spends each day: 7 x $8 = $<<7*8=56>>56
Step 3: Subtract the amount she spends from the initial amount in her account to find the amount of money she has left: $100 - $56 = $44
Step 4: Div... | 4 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mo... | Day 1: He hiked 10 kilometers of steep mountainside.
Day 2: He covered half the full hike distance of 50 kilometers, which is 50/2 = <<50/2=25>>25 kilometers.
Day 1: He covered 10 kilometers of steep mountainside.
Day 2: He covered 25 kilometers of flat terrain.
Total distance covered by day 1 and 2 = 10 + 25 = <<10+25... | Step 1: First find the distance covered by Ezekiel on the first day: 10 kilometers
Step 2: Next find the distance covered by Ezekiel on the second day: 50 kilometers - 10 kilometers = 40 kilometers
Step 3: Then, divide the distance covered on the second day by 2 to find the distance covered on the third day: 40 kilomet... | 15 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that numbe... | Step 1:
Find the number of tins James collected on the second day: 50 * 3 = <<50*3=150>>150 tins.
Find the number of tins James collected on the third day: 150 - 50 = <<150-50=100>>100 tins.
Step 2:
Find the total number of tins James collected on the first three days: 50 + 150 + 100 = <<50+150+100=300>>300 tins.
Fin... | Day 1: 50
Day 2: 3 x 50 = 150
Day 3: 150 - 50 = 100
Day 4: 100 - 50 = 50
Day 5: 50
Day 6: 50
Day 7: 50
#### 500
#### 250 | 50 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. ... | Step 1: Find the points for the bullseye
The bullseye is worth 50 points.
Step 2: Find the points for the missed target
The missed target was worth no points.
Step 3: Find the points for the third target
The third target is worth half the points of the bullseye, which is 50 / 2 = 25 points.
Step 4: Add the points for a... | Step 1: Calculate the total points for the bullseye.
3 x 50 = 150
Step 2: Calculate the points for the second throw.
3 x 0 = 0
Step 3: Calculate the points for the third throw.
150 / 2 = 75
Step 4: Add up the points for all three throws to find the final score.
150 + 0 + 75 = 225
#### 225 | 75 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. H... | Step 1: First, we need to find the total number of eggs available for cooking omelets.
Three dozen eggs = 3 x 12 = 36 eggs.
Step 2: Then, we need to find out how many omelets can be made with the total number of eggs available.
36 eggs ÷ 4 eggs per omelet = 9 omelets.
Step 3: Now, we need to divide the number of omel... | Step 1: Determine the total number of eggs: 3 dozen = 3 x 12 = 36 eggs
Step 2: Divide the total number of eggs by the number of people to find out how many omelets each person gets: 36 eggs / 3 people = 12 omelets/person
#### 12 | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter tha... | Step 1: Determine the number of blocks in the second stack.
The second stack was 3 blocks taller than the first stack, which had 7 blocks. So, the second stack had 7 + 3 = 10 blocks.
Step 2: Determine the number of blocks in the third stack.
The third stack was 6 blocks shorter than the second stack, which had 10 block... | First, find the height of the third stack:
\begin{align*} 7+3=10\\ 10-6=4\\ 4+10=14\\ \end{align*}
Then, find the height of the fourth stack:
\begin{align*} 14+10=24\\ \end{align*}
Then, find the height of the fifth stack:
\begin{align*} 24\cdot2=48\\ \end{align*}
Now, add up the height of all the stacks:
\begin{align*... | 55 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Tr... | Step 1: Let x be the weight of one of Trace’s bags in pounds.
Step 2: Since all Trace’s bags weigh the same amount, they all weigh x pounds.
Step 3: Since one of Gordon’s bags weighs three pounds and the other seven pounds, the total weight of both bags is 3 + 7 = 10 pounds.
Step 4: Since Trace’s bags all weigh the... | Step 1: Let x be the weight of Trace’s bag
Step 2: We know that 2 x = 3 + 7
Step 3: We can simplify this equation to x = 10 pounds
Step 4: Since Trace’s bags all weigh the same, x = 10 pounds
#### 10 | 2 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?
Answer:
| Let N be the number of books in the library.
35% of the books are children, so the number of children's books is 0.35N.
104 books are for adults, so the number of adult's books is 0.35N.
The number of books in the library is the sum of children's books and adult's books, so N = 0.35N + 104.
To solve for N, subtract 0.3... | Step 1: 35% of the books are for children, so x = 104, then 0.35x = 104
Step 2: Divide both sides of the equation by 0.35 to solve for x: x = 104 / 0.35 = 296
Step 3: The total number of books in the library is 296
#### 296 | 160 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
Answer:
| Step 1: Determine how many cards Nicky trades for Jill.
Nicky trades 2 cards for 1 card, so he trades 2 / 1 = 2 cards for Jill.
Step 2: Determine the total value of the cards Nicky trades.
Nicky trades 2 cards worth 8 dollars each, so the total value of the cards is 2 * 8 = 16 dollars.
Step 3: Determine the value of th... | Step 1: Find the total value of the cards Nicky has: 2 x $8 = $<<2*8=16>>16
Step 2: Find the value of the card Nicky gets in return: $21 - $8 = $<<21-8=13>>13
Step 3: Calculate the profit Nicky makes: $13 - $16 = -$<<13-16=-3>>3
#### -3 | 5 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the o... | Step 1: Calculate the profit Niko wants to gain on four pairs of socks.
The profit is 25% of the price of the socks, so the profit is $2 x 25/100 = $0.50 per pair of socks.
So, the profit on four pairs of socks is $0.50 x 4 = $2.
Step 2: Calculate the profit Niko wants to gain on the other five pairs of socks.
The prof... | First find the total cost of the socks: 9 x 2 = <<9*2=18>>18
Find the total cost of the 4 pairs of socks with a 25% profit: 18 x 0.25 = 4.5, so 18 + 4.5 = 22.5
Find the total cost of the other 5 pairs of socks with a $0.2 profit: 5 x 0.2 = 1, so 18 + 1 = 19
Find the total cost of all the socks: 22.5 + 19 = <<22.5+19=41... | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: In the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8... | Step 1: The first rose bush has 12 red flowers. 50% of the red roses is 12 * 0.5 = 6.
Step 2: The second rose bush has 18 pink flowers. 50% of the pink roses is 18 * 0.5 = 9.
Step 3: The third rose bush has 20 yellow flowers. 25% of the yellow roses is 20 * 0.25 = 5.
Step 4: The fourth rose bush has 8 orange flowers. 2... | Step 1: Calculate the total number of flowers of all colors
Step 2: Calculate 50% of the red flowers
Step 3: Calculate 50% of the pink flowers
Step 4: Calculate 25% of the yellow flowers
Step 5: Calculate 25% of the orange flowers
Step 6: Add all the flowers together
Step 7: Add the number of flowers of all colo... | 22 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. A... | Step 1: Determine the total amount of money made from the small and medium cups
The total amount of money made from the small cups = $11
The total amount of money made from the medium cups = $24
Total amount of money made from small and medium cups = $11 + $24 = $35
Step 2: Determine the amount of money made from the l... | Step 1: Let's define the variables
Let x be the number of small cups of lemonade sold.
Let y be the number of medium cups of lemonade sold.
Let z be the number of large cups of lemonade sold.
Step 2: Now, let's write the equations based on the given information
x + y + z = 11 (total number of small lemonades sold)
2x ... | 5 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he w... | Step 1: Find the time Leo took to finish the second part of the assignment. Since the first part took 25 minutes and he took twice as long to finish the second part, the second part took 25 x 2 = 50 minutes.
Step 2: Find the time Leo took to finish the first and second parts of the assignment. The first part took 25 mi... | \begin{align*} 25 \times 2 &= 50 \\ \text{Leo finished the second part in } 50 \text{ minutes.} \\ \text{Leo finished the third part in } 50 \times 2 &= 100 \text{ minutes.} \\ \end{align*}
#### 100 | 45 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Connor is taking his date to the movies. The tickets cost $10.00 each. They decided to get the large popcorn & 2 drink combo meal for $11.00 and each grab a box of c... | Step 1: Calculate the cost of the tickets
Total cost of tickets = 2 tickets x $10.00/ticket = $<<2*10=20.00>>20.00
Step 2: Calculate the cost of the combo meal
Cost of combo meal = $11.00
Step 3: Calculate the cost of the candy
Cost of candy = 2 candy x $2.50/candy = $<<2*2.5=5.00>>5.00
Step 4: Calculate the total cost... | Step 1: Calculate the cost of the movies tickets
$10.00 x 2 tickets = $<<10*2=20.00>>20.00
Step 2: Calculate the cost of the combo meal
$11.00 x 2 combo meals = $<<11*2=22.00>>22.00
Step 3: Calculate the cost of the candy
$2.50 x 2 boxes of candy = $<<2.5*2=5.00>>5.00
Step 4: Add all the costs together to find the tota... | 36 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green b... | First find out how many red beans are there: 572 / 4 = 143
Now subtract the number of red beans from the total number of beans to find how many beans remain after removing the red ones: 572 - 143 = 429
Now find out how many white beans are there: 429 / 3 = 143
Now subtract the number of white beans from the total numbe... | Step 1: Find the total number of red beans
Number of red beans = Total number of beans * (1/4)
= 572 * (1/4)
= 143
Step 2: Find the number of beans that are not red
Number of remaining beans = Total number of beans - Number of red beans
= 572 - 143
= 429
Step 3: Find the number of white beans
Number of white beans = Nu... | 143 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Wendy spent 25 years as an accountant and 15 years as an accounting manager. If Wendy lived to be 80 years old, what percentage of her life did she spend in an account... | Step 1: Find the total number of years Wendy spent in an accounting-related job
25 years (accountant) + 15 years (accounting manager) = 40 years
Step 2: Divide the total number of years by the total number of years Wendy lived
40 years / 80 years = 0.5
Step 3: Multiply the result by 100 to convert the fraction to a per... | Step 1: Calculate the total number of years Wendy spent in an accounting-related job.
Years spent in accounting-related job = Years spent as an accountant + Years spent as an accounting manager
= 25 + 15
= 40 years
Step 2: Calculate the total number of years Wendy lived.
Years lived = Years spent in accounting-related ... | 50 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many ru... | Step 1: Calculate the number of runners last year
Number of runners last year = Total number of runners - Number of people who did not show up
Number of runners last year = 200 - 40
Number of runners last year = 160
Step 2: Calculate the number of runners this year
Number of runners this year = 2 x Number of runners l... | Let P be the number of people who will run this year. The number of people who will not run this year is 200 - P.
The number of people who ran last year is P - 40.
The number of people who ran this year is P - 40*2 = P - 80.
The total number of people who ran this year is P - 40 + P - 80 = 2P - 120.
We are given that 2... | 320 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Dulce's father has eight orange trees on his farm. If each tree has 200 fruits and Dulce picks 2/5 of the oranges from each tree, calculate the total number of fruits ... | Step 1: First, find the number of fruits Dulce picks from each tree:
2/5 * 200 = 2 * 200/5 = 400/5 = 80
Step 2: Now, calculate the number of fruits remaining on each tree:
200 - 80 = 120
Step 3: Calculate the total number of fruits remaining in all the trees:
120 * 8 = 960
#### 960 | Step 1: Calculate the number of oranges each tree has:
200 * 8 = 1600
Step 2: Calculate the number of oranges Dulce picks from each tree:
2/5 * 200 = 80
Step 3: Calculate the number of oranges remaining in all the trees:
1600 - 80 = 1520
#### 1520 | 960 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and... | Step 1: First, let's add the number of cards traded between Padma and Robert in the first transaction.
Padma traded 2 cards for 10 cards from Robert, so 2+10 = 12.
Step 2: Now, let's add the number of cards traded between Padma and Robert in the second transaction.
Robert traded 8 cards for 15 cards from Padma, so 8+1... | Step 1: Find the number of cards traded from Padma to Robert
Padma traded 75 - 10 = 65 cards to Robert.
Step 2: Find the number of cards traded from Robert to Padma
Robert traded 88 - 8 = 80 cards to Padma.
Step 3: Find the total number of cards traded
Total cards traded = 65 + 80 = 145
#### 145 | 35 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought si... | First find the number of glue sticks Allison bought:
If Marie bought 15 glue sticks and there were 8 more glue sticks than Marie, then Allison bought 15+8 = 23 glue sticks.
Now find the number of packs of construction paper Marie bought:
If Marie bought 30 packs of construction paper and she bought six times as many as... | ## Step 1: Find out how many glue sticks Allison bought.
Since Marie bought 15 glue sticks and Allison bought 8 more glue sticks than Marie, Allison bought 15 + 8 = 23 glue sticks.
## Step 2: Find out how many packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and Allison bou... | 28 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansio... | Step 1: First, find 100 x 80% = 100 x .8 = 80 hours of boring grinding.
Step 2: Then subtract 80 hours of boring grinding from the total hours of the game, 100 - 80 = 20 hours of enjoyable gameplay.
Step 3: Finally, add the 30 hours of enjoyable gameplay from the expansion to the hours of enjoyable gameplay from the or... | Step 1: Calculate the total number of hours of gameplay for the game that is boring:
100 hours * 80% = 100 hours * .8 = 80 hours
Step 2: Add the number of hours of gameplay that is enjoyable:
80 hours + 30 hours = 110 hours
#### 110 | 50 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle... | Step 1: Calculate the total amount of money Monica and Michelle have.
Monica brings $15, Michelle brings $12.
Total money = $15 + $12 = $<<15+12=27>>27
Step 2: Calculate the amount of money left after buying the cake.
Cake cost $15, so they have $27 - $15 = $<<27-15=12>>12 left.
Step 3: Calculate the number of bottles ... | Step 1: First, find the total amount of money that Monica and Michelle have.
Monica has 15 dollars and Michelle has 12 dollars, so in total they have 15 + 12 = 27 dollars.
Step 2: Determine how much money they will have left after buying the cake.
They have 27 dollars and the cake costs 15 dollars, so they will have 2... | 6 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many lar... | Step 1: Find the total cost of the small glasses.
8 x $3 = $<<8*3=24>>24
Step 2: Find the total cost of the large glasses by subtracting the cost of the small glasses from the total amount of money Peter had.
$50 - $24 = $<<50-24=26>>26
Step 3: Divide the total cost of the large glasses by the cost of one large glass t... | Step 1: Write an equation to represent the cost of Peter's glasses
Let x be the number of large glasses Peter bought. The cost of x small glasses is $3x and the cost of x large glasses is $5x.
The total cost of x small glasses and x large glasses is $3x + $5x = $8x.
Step 2: Write an equation to represent the change Pet... | 5 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Jane is trying to decide whether to buy a house or a trailer. A house costs $480,000 and a trailer costs $120,000. Each loan will be paid in monthly installments over ... | Step 1: Find the total number of payments on the house and the trailer.
The house will be paid in 20 years, so there will be 20 years x 12 months/year = 240 payments.
The trailer will be paid in 20 years, so there will be 20 years x 12 months/year = 240 payments.
Step 2: Find the monthly payment on the house and the tr... | Step 1: Calculate the total number of months in 20 years
There are 12 months in a year, so 20 years is 20 x 12 = 240 months.
Step 2: Calculate the monthly payment for the house
The monthly payment for the house is 480,000 / 240 = $2,000.
Step 3: Calculate the monthly payment for the trailer
The monthly payment for the ... | 1500 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 seeds each. He also has small planters that can hold 4 seeds... | Step 1: Find the total number of seeds that the large planters can hold.
4 large planters x 20 seeds per large planter = 80 seeds
Step 2: Find the number of seeds that are left after the large planters are full.
200 seeds - 80 seeds = 120 seeds left
Step 3: Divide the number of seeds that are left by the number of se... | Step 1: Find the total number of seeds that can be planted in the large planters.
200 seeds/large planter * 4 large planters = 800 seeds
Step 2: Find the number of seeds remaining that Oshea will need to plant in the small planters.
800 seeds - 200 seeds = 600 seeds
Step 3: Divide the number of seeds remaining by the n... | 30 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Eric sorted 150 colored pencils into 5 containers for his art class. Before class, another teacher brought him 30 more pencils. How many can he evenly distribute betwe... | Eric's original containers = 150
Pencils brought by the teacher = 30
Total number of pencils = 150 + 30 = 180
Number of containers now = 5
Number of pencils per container = 180 / 5 = 36
#### 36 | Step 1: Calculate the number of pencils Eric can distribute before class:
150 / 5 = 30
Step 2: Calculate the number of pencils Eric can distribute after the teacher brings more pencils:
30 + 30 = 60
Step 3: Divide the total number of pencils by the number of containers:
60 / 5 = 12
#### 12 | 36 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Oleg is an event organizer. He is organizing an event with 80 guests where 40 of them are men, half the number of men are women, and the rest are children. If he added... | Step 1: First find the number of women at the event
Step 2: Then find the number of children at the event
Step 3: Add the number of children to the number of men
Step 4: Write the final answer.
Number of men at the event: 40
Number of women at the event: 40/2 = <<40/2=20>>20
Number of children at the event: 80 - 40 - ... | Step 1: First, find the number of women at the event, which is half the number of men, so it is 40/2 = 20
Step 2: Then, add the number of men and women at the event, which is 40 + 20 = 60
Step 3: Finally, add the number of children to the number of guests at the event, which is 60 + 10 = 70
#### 70 | 30 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages ... | Step 1: Calculate the number of stamps in the first 10 pages.
There are 5 rows of 30 stamps each, so there are 5 x 30 = <<5*30=150>>150 stamps in each of the first 10 pages.
There are 10 of these pages, so there are 150 x 10 = <<150*10=1500>>1500 stamps in the first 10 pages.
Step 2: Calculate the number of stamps in t... | Step 1: Calculate the number of stamps in the first 10 pages
5 x 30 = 150 stamps
Step 2: Calculate the number of stamps in the remaining 40 pages
50 x 40 = 2000 stamps
Step 3: Add the number of stamps in the two types of pages
150 + 2000 = 2150 stamps
#### 2150 | 3500 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he p... | Step 1: Calculate the cost of the first 100 channels
The first 100 channels cost $100
Step 2: Calculate the cost of the next 100 channels
The next 100 channels cost $100 / 2 = $50
Step 3: Calculate the total cost of the first 200 channels
The first 100 channels cost $100 and the next 100 channels cost $50
Total cost of... | Let x be the amount James paid for the cable program. The first 100 channels cost $100 and the next 100 channels cost $100/2 = $50, so the total cost is x + 100 + x + 50 = 2x + 150.
Since he splits it evenly with his roommate, he paid 2x/2 = x for the cable program. Therefore, x + 150 = 150, so x = 0.
#### 0 | 75 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six li... | Step 1: Calculate the total water usage per day:
Morning water usage: 4 liters
Evening water usage: 6 liters
Total water usage per day: 4 + 6 = 10 liters
Step 2: Calculate the number of days the sprinkler system uses 50 liters of water:
Number of days: 50 liters / 10 liters per day
Number of days: 5 days
#### 5 | First, let's calculate how many liters of water the sprinkler system uses in one day:
morning: 2 x 4 = <<2*4=8>>8 liters
evening: 2 x 6 = <<2*6=12>>12 liters
Total daily water usage: 8 + 12 = <<8+12=20>>20 liters
Now, let's divide the total water usage in one day by the number of days in a week to find the total water ... | 5 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mr. Langsley commutes to work every day by bus. The bus picks him up at 6:00 a.m. and takes forty minutes to arrive at the first station. If Mr. Langsley arrives at wo... | Step 1: Find the number of minutes from the bus pickup time to the bus pickup time
40 minutes
Step 2: Find the number of minutes between the bus pickup time and the first station
40 minutes
Step 3: Find the number of minutes from the first station to the workplace
9:00 - 6:00 = 3 hours = 180 minutes
180 - 40 = 140 minu... | Step 1: Find the time taken to get to work by bus
6:00 a.m. to 9:00 a.m. is 3 hours, so the time taken by the bus is 3 x 60 = 180 minutes
Step 2: Add 40 minutes to the time taken by the bus to get to work
180 + 40 = 220 minutes
\boxed{220} | 140 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She or... | Let's start by finding the total number of cards Janessa had initially: 4 (cards she already had) + 13 (cards her father gave her) = 17 cards
She ordered 36 cards from eBay, so the total number of cards she had before throwing some away is 17 + 36 = 53
She threw away 4 cards, so the number of cards she kept is 53 - 4 =... | Step 1: Calculate the total number of cards Janessa had before throwing away the bad cards
4 (her cards) + 13 (her father's cards) = 17 cards
Step 2: Subtract the cards Janessa threw away from the total
17 cards - 4 cards = 13 cards
Step 3: Add the cards Janessa kept to the cards she gave to Dexter
13 cards + 29 cards ... | 20 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost?
Answer:
| Let x be the cost of each barbell.
John buys 3 barbells.
The total cost is 3x.
The change received is $850 - 3x = $40
Solve for x: 3x = 850 - 40
3x = 810
x = 810 / 3
x = <<270=270>>270
The cost of each barbell is $270.
#### 270 | Step 1: Find the total cost of the barbells.
Step 2: Find the cost of each barbell.
Step 3: Write your final answer as a number in parentheses.
Total cost = $850 + $40 = $890
Each barbell cost = $890 / 3 = $295
#### 295 | 270 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours ... | Step 1: Mike receives $9/hour from the second job
Step 2: Mike works 12 hours a week from the second job
Step 3: The total wages for the second job is 9 * 12 = $<<9*12=108>>108
Step 4: The total wages for the second job is $160 - $108 = $<<160-108=52>>52
Step 5: Mike received $52 from the first job
#### 52 | Let's call the amount of money Mike received from his first job 'x'.
If Mike earns $160 for his second job then the amount he earned from his first job is $160 - $9 = $<<160-9=151>>151.
\boxed{151} | 52 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as h... | Step 1: Determine how many times Wilson sleds down the tall hills.
The number of times Wilson sleds down the tall hills is 4 times/hill x 2 hills = 8 times
Step 2: Determine how many times Wilson sleds down the small hills.
The number of times Wilson sleds down the small hills is 4 times/hill / 2 = 2 times/hill
The nu... | ## Step 1: Let's define the variables
Let x be the number of times Wilson sleds down the tall hills.
Then, Wilson sleds down the 2 tall hills x times.
## Step 2: Calculate the number of times Wilson sleds down the small hills
Wilson sleds down the 3 small hills x/2 times.
## Step 3: Calculate the total number of times ... | 14 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are the... | Step 1: Let's define the number of cherry sodas as 'c' and the number of orange pops as 'o'.
Step 2: We know that there are twice as many cans of orange pop as there are of cherry soda, so we can write this as o = 2c.
Step 3: We also know that the total number of cans is 24, which means c + o = 24.
Step 4: We can subst... | Step 1: Let x represent the number of cherry sodas
Step 2: x = 2x + 24 (since there are twice as many cans of orange pop as there are of cherry soda)
Step 3: x - 2x = 24
Step 4: -x = 24
Step 5: x = 24 / -1
Step 6: x = -24
#### -24 | 8 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Daryl is loading crates at a warehouse and wants to make sure that they are not overloaded. Each crate can weigh up to 20kg and he has 15 crates he can fill. He has 4 ... | Step 1: Calculate the total weight of the items that Daryl has, without taking into account the weight of the crates.
4 bags of nails * 5kg/bag = <<4*5=20>>20kg
12 bags of hammers * 5kg/bag = <<12*5=60>>60kg
10 bags of wooden planks * 30kg/plank = <<10*30=300>>300kg
Total weight of items = 20kg + 60kg + 300kg = <<20+60... | Step 1: Calculate the total weight of the items Daryl has to load:
Weight of nails = number of bags x weight per bag = 4 x 5 = 20kg
Weight of hammers = number of bags x weight per bag = 12 x 5 = 60kg
Weight of wooden planks = number of bags x weight per bag x number of sub-bags per bag = 10 x 30 x 3 = 900kg
Total weigh... | 80 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Kwame studied for the history test for 2.5 hours. Connor studied for 1.5 hours and Lexia studied for 97 minutes. How many minutes more did Kwame and Connor study than ... | Step 1: Convert the time Kwame studied from hours to minutes: 2.5 hours x 60 minutes/hour = 150 minutes.
Step 2: Convert the time Connor studied from hours to minutes: 1.5 hours x 60 minutes/hour = 90 minutes.
Step 3: Find the total time Kwame and Connor studied: 150 minutes + 90 minutes = 240 minutes.
Step 4: Find the... | \begin{tabular}{|l|l|l|} \hline **Time Studied** & **Kwame** & **Connor** & **Lexia** \\ \hline Hours & 2.5 & 1.5 & 97 \\ \hline Minutes & \frac{150}{60} \times 2.5 & \frac{150}{60} \times 1.5 & \frac{150}{60} \times 97 \\ \hline Total & 375 & 112.5 & 8970 \\ \hline Difference & 8970 - 8970 = 0 \\ \hline \end{tabular}... | 143 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Aunt May milks her cows twice a day. This morning she got 365 gallons of milk. This evening she got 380 gallons. She sold 612 gallons to the local ice cream factory. ... | Step 1: First, find the total amount of milk Aunt May got today.
365 + 380 = <<365+380=745>>745
Step 2: Find out how many days Aunt May has milk. 745 / 2 = <<745/2=377>>377
Step 3: Calculate how many gallons of milk she had yesterday. 15 + 745 = <<15+745=760>>760
Step 4: Calculate how many gallons of milk she has le... | She got 365 + 380 = 745 gallons of milk in total
She had 15 + 612 = 627 gallons left from yesterday
She had 745 - 627 = 118 gallons left.
#### 118 | 148 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mehki is 10 years older than Jordyn. Jordyn's age is double Zrinka's age. If Zrinka is 6 years old, how many years old is Mehki?
Answer:
| ## Step 1: Determine Zrinka's age
Zrinka is 6 years old.
## Step 2: Determine Jordyn's age
Jordyn's age is double Zrinka's age, so Jordyn's age is 2 * 6 = 12 years old.
## Step 3: Determine Mehki's age
Mehki is 10 years older than Jordyn, so Mehki's age is 12 + 10 = 22 years old.
The final answer is: $\boxed{22}$ | We are given that Zrinka is 6 years old.
Zrinka's age is double Mehki's age, so Mehki's age is 6/2 = 3 years.
Mehki is 10 years older than Jordyn, so Jordyn's age is 3-10 = -7 years.
#### 3 | 22 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Juan needs 10 half-gallons of milk to bake 40 cookies with. How many half-gallons of milk does Juan need to bake 200 dozen cookies?
Answer:
| Step 1: We know that Juan needs 10 half-gallons of milk to bake 40 cookies. We can find the amount of milk needed per cookie by dividing 10 half-gallons by 40 cookies:
\frac{10}{40}=\frac{1}{4} half-gallon/cookie
Step 2: To find the total amount of milk needed to bake 200 dozen cookies, we need to multiply the amount ... | First, Juan needs 10 half-gallons of milk per cookie, and he needs to bake 200 dozen cookies. There are 12 in a dozen, so he needs 10 x 12 = <<10*12=120>>120 half-gallons of milk.
Therefore, Juan needs 120 x 2 = <<120*2=240>>240 half-gallons of milk.
#### 240 | 50 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: The tallest of 3 trees is 108 feet. The middle sized tree is 6 feet less than half the height of the tallest tree. The smallest tree is 1/4 the height of the middle t... | Step 1: First, find the height of the middle tree.
The middle tree is 6 feet less than half the height of the tallest tree.
The height of the tallest tree is 108 feet.
Half the height of the tallest tree is 108 / 2 = 54 feet.
The middle tree is 54 - 6 = 48 feet tall.
Step 2: Next, find the height of the smallest tree... | Step 1: Find the height of the middle tree.
The height of the middle tree is 108 - 6 = 102 feet
Step 2: Find the height of the smallest tree.
The height of the smallest tree is 102/4 = 25.5 feet
#### 25.5 | 12 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Jane, Kyla, and Anthony have summer jobs in a resort. Their task is to fold guests' towels. Jane can fold 3 towels in 5 minutes. Kyla can fold 5 towels in 10 minutes, ... | Step 1: Calculate how many towels Jane can fold in one hour.
1 hour = 60 minutes
Jane can fold 3 towels in 5 minutes, so she can fold 3 * 60/5 = 36 towels in one hour.
Step 2: Calculate how many towels Kyla can fold in one hour.
Kyla can fold 5 towels in 10 minutes, so she can fold 5 * 60/10 = 30 towels in one hour.
St... | Step 1: First, find the number of towels that each can fold in an hour. The number of minutes it takes each person to fold one towel is 5, 10, and 20 minutes respectively.
Step 2: Therefore, the number of towels that Jane can fold in an hour is 3 x 60 = 180.
Step 3: The number of towels that Kyla can fold in an hour is... | 87 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Carla, Kyle, and Tasha caught 36 fish. If Kyle and Tasha caught the same number of fish and Carla caught 8, how many fish did Kyle catch?
Answer:
| Step 1: Let x be the number of fish that Kyle caught.
Step 2: Since Carla caught 8 fish, we know that 36 - 8 = 28 fish were caught by Kyle and Tasha together.
Step 3: We know that the total number of fish that Kyle and Tasha caught together is x + x = 2x.
Step 4: Since the total number of fish that Kyle and Tasha c... | Let's say Kyle caught x fish.
Since Carla caught 8, the number of fish that Kyle and Tasha caught is x + 8.
Since they caught the same number of fish, x + 8 = 36.
Now solve for x: x = 36 - 8
x = 28
Kyle caught 28 fish.
#### 28 | 14 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A store received 20 pallets of paper products to stock. Half the pallets were paper towels, a quarter were tissues, and a fifth were paper plates. The rest were paper ... | Step 1: First, let's find out how many pallets of each product the store received.
Half of the 20 pallets were paper towels, so the store received 20 / 2 = 10 pallets of paper towels.
A quarter of the 20 pallets were tissues, so the store received 20 / 4 = 5 pallets of tissues.
A fifth of the 20 pallets were paper pla... | Step 1: 20 x 2 = 40 paper towels received
Step 2: 20 x 1/4 = 20/4 = 5 paper tissues received
Step 3: 20 x 1/5 = 20/5 = 4 paper plates received
Step 4: 20 - 40 - 5 - 4 = 1 pallet of paper cups received
Step 5: 1 x 4 = 4 pallets of paper cups received
#### 4 | 1 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mark is reading books, for 2 hours each day. He decided to increase his time spent on reading books weekly, by 4 hours. How much time does Mark want to spend during on... | Step 1: Find out how many hours Mark will spend reading books in a week without any increase.
Hours spent per week without increase = 2 hours/day * 7 days = <<2*7=14>>14 hours
Step 2: Calculate how many hours Mark will spend reading books in a week with the increase.
Hours spent per week with increase = 14 hours/week +... | Mark was reading books for 2 hours/day * 7 days/week = 14 hours/week
Mark decided to increase his time spent on reading books weekly by 4 hours so he will read 14 + 4 = 18 hours/week
In one week, Mark will want to spend 18 hours/week * 7 days/week = <<18*7=126>>126 hours/week on reading books
#### 126
\boxed{126} | 18 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Ali had a collection of seashells. He started with 180 seashells. He then gave away 40 seashells to his friends. He also gave 30 seashells to his brothers. If he sold ... | Step 1: Calculate the number of seashells Ali gave away to his friends.
40 seashells given to friends
Step 2: Calculate the number of seashells Ali gave away to his brothers.
30 seashells given to brothers
Step 3: Calculate the total number of seashells Ali gave away.
40 seashells given to friends + 30 seashells giv... | Step 1: Ali had 180 seashells and gave away 40 and 30 seashells to his brothers and friends, respectively.
180 - 40 - 30 = 100 seashells.
Step 2: Ali had 100 seashells and sold half of them.
100 / 2 = 50 seashells.
Step 3: Ali had 50 seashells left.
#### 50 | 55 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: James buys 6 t-shirts for 50% off. They each cost $20. How much did he pay?
Answer:
| Step 1: Find the discounted price of one t-shirt
One t-shirt costs $20 and is on sale for 50% off, so the discount on one t-shirt is $20 * 50% = $10
Therefore, one t-shirt costs $20 - $10 = $<<20-10=10>>10
Step 2: Find the total cost of 6 t-shirts
One t-shirt costs $10, so 6 t-shirts cost $10 * 6 = $<<10*6=60>>60
Step ... | Step 1: Calculate the discount: 50% of 6 = 0.5 x 6 = 3.
Step 2: Calculate the price before discount: 6 x 20 = 120.
Step 3: Subtract the discount from the price before discount: 120 - 3 = 117.
#### 117 | 60 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Alicia has to buy some books for the new school year. She buys 2 math books, 3 art books, and 6 science books, for a total of $30. If both the math and science books c... | Step 1: Let x be the cost of each art book
Step 2: 2(3) + 3x + 6(3) = 30
Step 3: 6 + 3x + 18 = 30
Step 4: 24 + 3x = 30
Step 5: 3x = 30 - 24
Step 6: 3x = 6
Step 7: x = 6/3
Step 8: x = 2
#### 2 | Step 1: Write down the total cost of all books
2 math books + 3 art books + 6 science books = $30
Step 2: Write down the cost of each science book
$3
Step 3: Write down the cost of each math book
$3
Step 4: Write down the cost of all science books
$3 x 6 = $<<3*6=18>>18
Step 5: Write down the total cost of all science ... | 2 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A jar contains 9 blue pens, 21 black pens, and 6 red pens. Four blue pens are removed and then seven black pens are removed. How many pens are left in the jar?
Answer... | Step 1: First, find the total number of pens in the jar before any pens are removed.
9 blue pens + 21 black pens + 6 red pens = 36 pens
Step 2: Next, find the total number of pens removed.
4 blue pens + 7 black pens = 11 pens
Step 3: Subtract the number of pens removed from the total number of pens before removal to ... | Step 1: Find the total number of blue pens initially in the jar.
9 blue pens + 21 black pens + 6 red pens = 36 pens
Step 2: Calculate the number of blue pens left in the jar after four blue pens are removed.
36 pens - 4 blue pens = 32 blue pens
Step 3: Calculate the number of black pens left in the jar after seven bl... | 25 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Three siblings are born 5 years apart, each. If the eldest child is 20 years old now, what's the total of the ages of the three siblings 10 years from now?
Answer:
| Step 1: The eldest child is 20 years old now, so we need to add 10 years to find his age 10 years from now: 20 + 10 = 30
Step 2: The middle child is 5 years younger than the eldest child, so we subtract 5 years from the eldest's age: 30 - 5 = 25
Step 3: The youngest child is also 5 years younger than the middle chil... | Step 1: Find the age of the second sibling now. Since the eldest child is 20 years old, the second child is 20-5 = 15 years old now.
Step 2: Find the age of the third sibling now. Since the eldest child is 20 years old, the third child is 20-5 = 15 years old now.
Step 3: Find the age of the eldest child 10 years from n... | 75 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Michael saved 5 of his cookies to give Sarah, who saved a third of her 9 cupcakes to give to Michael. How many desserts does Sarah end up with?
Answer:
| Step 1: First, find out how many cupcakes Sarah gave to Michael. Since she saved a third of her cupcakes to give to Michael, she gave Michael 9/3 = 3 cupcakes.
Step 2: Now, find out how many cupcakes Sarah has left. She started with 9 cupcakes and gave 3 to Michael, so she has 9 - 3 = 6 cupcakes left.
Step 3: The total... | Step 1: Michael gave Sarah 5 cookies.
Step 2: Sarah received 1/3 of her 9 cupcakes, which is 9 x 1/3 = <<9*1/3=3>>3 cupcakes.
Step 3: Sarah ended up with 9 - 3 = <<9-3=6>>6 cupcakes.
Step 4: Sarah ended up with 6 cupcakes.
Step 5: Sarah ended up with 6 cupcakes.
#### 6 | 11 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Katie has 13 pink marbles. She has 9 fewer orange marbles than pink marbles. She has 4 times as many purple marbles as orange marbles. How many marbles does Katie have... | Step 1: Find the number of orange marbles
Katie has 9 fewer orange marbles than pink marbles, so she has 13 - 9 = 4 orange marbles.
Step 2: Find the number of purple marbles
She has 4 times as many purple marbles as orange marbles, so she has 4 x 4 = 16 purple marbles.
Step 3: Find the total number of marbles
13 pink m... | Step 1: Let x be the number of orange marbles
Step 2: Katie has 13 - 9 = <<13-9=4>>4 orange marbles
Step 3: Katie has 4 x 4 = <<4*4=16>>16 purple marbles
Step 4: Katie has 13 + 9 + 16 = <<13+9+16=38>>38 marbles
#### 38 | 33 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Erin runs her own launderette and needs to cash in the change from the machines. There are 80 quarters and 100 dimes in every machine in the launderette. When Erin emp... | Let x be the number of machines in the launderette. The value of the quarters in the machines is 80x * $0.25 = $20x. The value of the dimes in the machines is 100x * $0.10 = $10x. The total value of the coins in the machines is $20x + $10x = $30x. The total amount of money Erin has is $90, so we can set up the equation... | Let x be the number of machines in the launderette.
Each machine holds 80 x 25 cents = $<<80*25=2000>>2000
Then 2000x = 90
x = 90/2000
x = 0.045
There are 0.045 machines in the launderette.
#### 45 | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Nathan plays amateur baseball. He played for 3 hours for two weeks, every day. His friend Tobias played for 5 hours every day, but only for one week. How many hours di... | Step 1: Calculate how many days Nathan played baseball. Since he played for 3 hours for two weeks, we multiply 3 hours by 14 days to get the total number of hours.
3 hours * 14 days = 42 hours
Step 2: Calculate how many days Tobias played baseball. Since he played for 5 hours every day and played for 7 days, we multipl... | Let x be the number of hours Nathan played baseball.
\begin{align*} 3x + 2x & = 14 \\ 5x & = 14 \\ x & = \frac{14}{5} = 2.8 \end{align*}
\begin{align*} 3(2.8) + 5(1) & = 8.4 + 5 \\ 13.4 & = 13.4 \end{align*}
#### 13.4 | 77 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A jug is filled with 5 liters of water and a bucket is filled with 4 jugs. How many liters of water are contained in 2 buckets?
Answer:
| Step 1: Calculate the amount of water in one jug
One jug contains 5 liters of water.
Step 2: Calculate the amount of water in 4 jugs
One jug contains 5 liters of water.
4 jugs contain 5 * 4 = 20 liters of water.
Step 3: Calculate the amount of water in 2 buckets
Two buckets contain 20 * 2 = 40 liters of water.
#### ... | First, find out how many liters of water are in each jug:
5 liters / 4 jugs = 1.25 liters/jug
Now find the total number of liters in 2 buckets:
2 buckets * 1.25 liters/bucket = 2.50 liters
#### 2.50 | 40 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where h... | Step 1: Calculate the number of candies Anna gets from the subdivision
Number of candies per house x Number of houses = Number of candies
14 x 60 = 840
Step 2: Calculate the number of candies Billy gets from the subdivision
Number of candies per house x Number of houses = Number of candies
11 x 75 = 825
Step 3: Find th... | Step 1: Multiply the number of pieces of candy per house in Anna's subdivision by the number of houses in her subdivision to find the total number of pieces of candy she gets:
14 x 60 = 840
Step 2: Multiply the number of pieces of candy per house in Billy's subdivision by the number of houses in his subdivision to fin... | 15 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: John climbs 3 staircases. The first staircase has 20 steps. The next has twice as many steps as the first. The final staircase has 10 fewer steps than the second on... | Step 1: The first staircase has 20 steps.
Step 2: The second staircase has 20 x 2 = <<20*2=40>>40 steps.
Step 3: The third staircase has 40 - 10 = <<40-10=30>>30 steps.
Step 4: The total number of steps is 20 + 40 + 30 = <<20+40+30=90>>90 steps.
Step 5: The total distance is 90 x 0.5 = <<90*0.5=45>>45 feet.
Step 6: The... | Step 1: The second staircase has 20 x 2 = <<20*2=40>>40 steps.
Step 2: The final staircase has 40 - 10 = <<40-10=30>>30 steps.
Step 3: John climbs 3 x 20 = <<3*20=60>>60 feet on the first staircase.
Step 4: John climbs 40 x 0.5 = <<40*0.5=20>>20 feet on the second staircase.
Step 5: John climbs 30 x 0.5 = <<30*0.5=15>>... | 45 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 g... | To solve this problem, we can first calculate how many points Donovan Mitchell has already scored in the 15 games he has played so far.
Points scored = Average points per game x Number of games played
Points scored = 26 x 15
Points scored = 390
Now, let's calculate how many points he needs to score in the 20 game seaso... | Let x be the points Donovan Mitchell needs to average per game to reach his goal.
\begin{aligned} \frac{15}{20} \cdot 30 &= 26 + x \\ \frac{3}{4} \cdot 30 &= 26 + x \\ 22.5 &= 26 + x \\ x &= 22.5 - 26 \\ x &= -3.5 \\ \end{aligned}
#### -3.5 | 42 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: 25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls?
Answer:
| Step 1: Determine the number of pearls Jamie gets per dive.
25% of oysters have pearls in them, so for each dive, Jamie gets 0.25 x 16 = 4 pearls.
Step 2: Determine how many dives Jamie has to make to collect 56 pearls.
Since each dive gives Jamie 4 pearls, the number of dives Jamie needs to make to collect 56 pearls i... | Let x be the number of dives Jamie needs to make to collect 56 pearls. Then, 0.25x = 56
Solving for x, we get x = 56 / 0.25
x = 224
#### 224 | 14 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Susan is picking strawberries. She's trying to fill her basket, but out of every handful of 5 strawberries she can't help but eat one of them herself. If her basket ho... | Step 1: Calculate the number of strawberries Susan eats in one handful
The number of strawberries Susan eats in one handful is 5 - 1 = 4
Step 2: Calculate the number of strawberries Susan can pick in one handful
The number of strawberries Susan can pick in one handful is 5 - 1 = 4
Step 3: Calculate the number of hand... | Step 1: Divide the total number of strawberries that Susan's basket can hold by the number of strawberries she eats out of every handful.
Total strawberries in the basket ÷ Strawberries eaten per handful = Total strawberries in the basket ÷ (5 - 1)
= 60 ÷ 4
= 15
#### 15 | 75 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: In preparation for the church fundraiser, Julia bakes one less than 5 cakes per day for 6 days. Unfortunately, every other day, Julia's brother, Clifford, sneaks into... | Step 1: First, we need to find the total number of cakes Julia bakes per day. Since she bakes one less than 5 cakes per day, we can calculate this as 5 - 1 = 4 cakes per day.
Step 2: Julia bakes 4 cakes per day for 6 days, so she makes a total of 4 x 6 = 24 cakes.
Step 3: Since Clifford eats one cake every other day... | Step 1: 5 cakes per day - 1 cake per day = 4 cakes per day
Step 2: 4 cakes per day x 6 days = 24 cakes
Step 3: 24 cakes / 2 = 12 cakes
Step 4: 12 cakes - 6 cakes = 6 cakes
#### 6 | 21 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: The grocery store sells chips for $2 per packet and corn chips for $1.5 per packet. John would like to buy 15 packets of chips, and with the rest of the money he has l... | Step 1: Calculate the cost of the chips John wants to buy. 15 packets * $2/packet = $<<15*2=30>>30
Step 2: Calculate how many packets of corn chips John can buy with the remaining money. $45 - $30 = $<<45-30=15>>15
Step 3: Calculate the number of packets of corn chips John can buy. $15 / $1.5/packet = 10 packets
#### 1... | Step 1: Let x be the number of packets of corn chips John can buy.
Step 2: 2x + 1.5x = 45
Step 3: 3.5x = 45
Step 4: x = 45 / 3.5
Step 5: x = 13
#### 13 | 10 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How o... | Step 1: Cindy's sister Jan was 2 years older than Cindy, so Jan was 5 + 2 = 7 years old.
Step 2: Marcia was twice as old as Jan, so Marcia was 7 x 2 = 14 years old.
Step 3: Greg was two years older than Marcia, so Greg was 14 + 2 = 16 years old.
\#### 16 | Step 1: Find Jan's age by adding 2 to Cindy's age
1. Cindy's age + 2 = 5 + 2 = 7
2. Jan's age = 7 + 2 = 9
Step 2: Find Marcia's age by doubling Jan's age
1. Marcia's age = 2 x 9 = 18
Step 3: Find Greg's age by adding 2 to Marcia's age
1. Greg's age = 18 + 2 = 20
#### 20 | 16 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A vampire drains three people a week. His best friend is a werewolf who eats five people a week, but only fresh ones, never drained ones. How many weeks will a village... | Step 1: First, we need to calculate the number of people that the vampire and his werewolf eat per week.
The vampire eats 3 people a week, and his werewolf eats 5 people a week.
Total number of people eaten per week = 3 + 5 = 8
Step 2: Now, we need to calculate how many weeks the village of 72 people will last the vamp... | Step 1: Number of people drained each week by the vampire: 3
Step 2: Number of people eaten by the werewolf each week: 5
Step 3: Number of people eaten by the werewolf in the village: 72 x 5 = 360
Step 4: Number of people remaining in the village after the werewolf eats: 72 - 360 = -288
Step 5: Number of weeks the vill... | 9 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: It takes Omar 12 minutes to raise his kite 240 feet into the air. Jasper can raise his kite at three times the rate of speed as Omar can raise his kite. If Jasper rais... | Step 1: Find Omar's rate of speed.
Omar's rate = 240 feet / 12 min = 20 feet/min
Step 2: Find Jasper's rate of speed.
Jasper's rate = 20 feet/min * 3 = 60 feet/min
Step 3: Find the time it takes Jasper to raise his kite to a height of 600 feet.
Time = 600 feet / 60 feet/min = 10 min
Step 4: Write the answer.
#### 10 | Let's denote the speed at which Omar raises his kite as x feet per minute.
Then, Jasper raises his kite at 3x feet per minute.
Since Omar raises his kite 240 feet in 12 minutes, his speed is 240/12=20 feet/minute.
Therefore, the speed of Jasper is 3x=20 feet/minute
\[\frac{3x}{x}=\frac{20}{3}\]
\[\Rightarrow\qquad x=\f... | 10 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Jane is dividing up minnows to be carnival prizes. She bought 600 minnows, and each prize is a bowl with 3 minnows. If 800 people are going to play the game and 15% wi... | Step 1: Find how many people win a prize:
800 people * 15% = 800 * .15 = 120 people win a prize
Step 2: Find how many minnows are used for prizes:
120 people * 3 minnows/person = 360 minnows are used for prizes
Step 3: Find how many minnows are left over:
600 minnows - 360 minnows = 240 minnows
#### 240 | Step 1: First, find the total number of prizes that Jane can give out. We can do this by multiplying the number of people going to play the game by the number of minnows each prize is a bowl with: 800 x 3 = 2400 minnows.
Step 2: We then divide the number of minnows Jane bought by the number of minnows each prize is a b... | 240 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Miriam takes care of the flowers in the botanical garden. She works 5 hours a day and can take care of 60 different flowers in one day. How many flowers can Miriam tak... | Step 1: First, let's find out how many flowers Miriam takes care of in one day:
60 flowers / 5 hours = 12 flowers per hour
Step 2: Now, let's multiply the number of flowers Miriam takes care of per hour by the number of hours she works per day:
12 flowers/hour * 5 hours/day = 60 flowers/day
Step 3: Finally, let's mul... | Step 1: Determine how many flowers Miriam can take care of in one day.
5 hours/day × 60 flowers/hour = 300 flowers/day
Step 2: Multiply the number of flowers Miriam can take care of in one day by the number of days she works.
300 flowers/day × 6 days = 1800 flowers
#### 1800 | 360 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Tony drinks 72 ounces of water per day. He decides that to stop wasting plastic, he will buy a reusable metal bottle. If he buys an 84-ounce water bottle, how many tim... | Step 1: Determine the number of days in a week.
There are 7 days in a week.
Step 2: Determine the number of ounces of water Tony drinks per week.
Tony drinks 72 ounces of water per day. Therefore, he drinks 72 x 7 = 504 ounces per week.
Step 3: Divide the capacity of the water bottle by the number of ounces Tony drinks... | Step 1: Divide the total amount of water Tony drinks per day by the amount of water he will drink in the metal bottle: 72 ÷ 84 = 0.857
Step 2: Multiply the number of times Tony drinks water per day by the number of ounces he will drink in the metal bottle: 0.857 × 84 = 72.872
Step 3: Round down to the nearest whole num... | 6 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road... | Step 1: Convert the length of Pardee Road from meters to kilometers.
1 kilometer = 1000 meters, so
12000 meters = 12000 / 1000 = 12 kilometers
Step 2: Subtract the length of Pardee Road from the length of Telegraph Road to find the difference.
Telegraph Road = 162 kilometers
Pardee Road = 12 kilometers
Difference = 16... | Step 1: First convert meters to kilometers.
12000 meters = 12 kilometers
Step 2: Subtract the length of Pardee Road from the length of Telegraph Road.
12 kilometers - 12 kilometers = 0 kilometers
Step 3: The length of Telegraph Road is equal to the length of Pardee Road.
#### 0 | 150 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have?
Answer:
| Step 1: First, calculate the number of legos Bruce has.
Kent has 40 legos, and Bruce has 20 more than Kent, so Bruce has 40 + 20 = 60 legos.
Step 2: Then, calculate the number of legos Simon has.
Simon has 20% more legos than Bruce, who has 60 legos. 20% of 60 legos is 0.20 x 60 = 12 legos. 60 + 12 = 72 legos.
#### 7... | Let x be the number of legos Kent has.
Then, Simon has x + 20 legos.
Bruce has x + 20 + 20 = x + 40 legos.
We know that Kent has 40 legos, so x = 40.
Thus, Simon has 40 + 20 = 60 legos.
#### 60 | 72 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Layla is training for a bicycle race. She rode her bicycle slowly to the high school, rode four miles around the running track at her faster, race pace, and then rode ... | Step 1: Let x be the distance from Layla's house to the high school.
Step 2: Layla rode her bicycle to the high school and back home, so the total distance traveled is 2x miles.
Step 3: Layla rode four miles around the running track at her faster race pace.
Step 4: The total distance traveled is 10 miles, so we can set... | Step 1: Let x be the distance from Layla's house to the high school
Step 2: Let y be the distance from the high school to the running track
Step 3: Since the distance from the high school to the running track is the same as the distance from the running track to the high school, we have x = y
Step 4: Since the dist... | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as te... | Let's start by representing the number of tent stakes as 'x'.
She bought 3 times as many packets of drink mix as tent stakes, so she bought 3x packets of drink mix.
She bought 2 more bottles of water than tent stakes, so she bought x+2 bottles of water.
We know that the total number of items Rebecca bought is 22, so we... | Let x represent the number of tent stakes Rebecca bought.
Let y represent the number of bottles of water.
Let z represent the number of packets of drink mix.
Since Rebecca bought 3 times as many packets of drink mix as tent stakes, we can write the equation y = 3x.
Since Rebecca bought 2 more bottles of water than she ... | 4 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A porcelain vase was originally priced at $200 but went on sale for 25% off. If Donna bought the porcelain vase and paid 10% sales tax, how much did she pay in total?
... | Step 1: Find the discount amount by multiplying the original price by the discount rate.
Discount = 200 x 25% = 200 x 0.25 = 50
Step 2: Subtract the discount from the original price to get the sale price.
Sale price = 200 - 50 = 150
Step 3: Find the sales tax amount by multiplying the sale price by the sales tax rate... | Step 1: Find the discount on the price of the vase.
$200 x 25/100 = $<<200*25/100=50>>50
So, the price of the vase after the discount is $200 - $50 = $<<200-50=150>>150
Step 2: Find the tax on the price of the vase.
150 x 10/100 = $<<150*10/100=15>>15
So, the price of the vase after tax is $150 + $15 = $<<150+15=165>>1... | 165 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Paolo has 14 coconuts, while Dante has thrice as many coconuts as Paolo. If Dante sold 10 of his coconuts, how many coconuts did he have left?
Answer:
| Step 1: Determine the number of coconuts Paolo has: Paolo has 14 coconuts.
Step 2: Determine the number of coconuts Dante has: Dante has thrice as many coconuts as Paolo, so Dante has 3 * 14 = 42 coconuts.
Step 3: Determine the number of coconuts Dante has left: Dante sold 10 coconuts, so he has 42 - 10 = 32 coconuts l... | Step 1: Paolo has 14 coconuts.
Step 2: Dante has three times as many coconuts as Paolo.
Step 3: Dante has 14 x 3 = 42 coconuts.
Step 4: Dante had 42 + 10 = 52 coconuts.
Step 5: Dante had 52 - 10 = 42 coconuts left.
#### 42 | 32 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If t... | Let x be the amount Diego got.
Then, the amount Celina got is 4x+1000.
The sum of the two amounts is equal to the amount the mayor paid, so we can write the following equation: x+4x+1000=50000
Combine like terms: 5x+1000=50000
Subtract 1000 from both sides: 5x=49000
Divide both sides by 5: x=9800
#### 9800 | Step 1: Let C be the amount of money Celina got and D be the amount of money Diego got.
Step 2: We know that C + D = 50,000, because the total amount paid is $50,000.
Step 3: We also know that C = 4D + 1,000, because Celina was paid $1,000 more than 4 times the amount Diego got.
Step 4: We can substitute the expres... | 9800 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut bu... | Step 1: Toby needs a total of 500 calories. He already has 100 calories from the bread, so he needs to add: 500 - 100 = 400 calories.
Step 2: There are 4 calories in a serving of peanut butter (200 calories/serving x 4 servings/piece of bread).
Step 3: Toby needs to add 400 calories to the peanut butter to reach his go... | Step 1: Find the total number of calories in one piece of bread.
One piece of bread has 100 calories.
Step 2: Find the number of calories Toby needs in total for breakfast.
Toby needs 500 calories for breakfast.
Step 3: Find how many servings of peanut butter Toby needs to add.
To find the number of servings, divide ... | 2 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How ma... | Step 1: Find the number of German Shepherds Sam has
Sam has 3 German Shepherds.
Step 2: Find the number of French Bulldogs Sam has
Sam has 4 French Bulldogs.
Step 3: Find the number of German Shepherds Peter wants to buy
Peter wants to buy 3 times as many German Shepherds as Sam has, so 3 * 3 = 9 German Shepherds.
S... | Step 1: Let's denote the number of German Shepherds Sam has as x.
Step 2: Peter wants 3 times as many German Shepherds as Sam has, so Peter wants 3x German Shepherds.
Step 3: Peter wants 2 times as many French Bulldogs as Sam has, so Peter wants 2 * 4 = 8 French Bulldogs.
Step 4: The total number of dogs Peter wants is... | 17 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end?
Answer:
| Step 1: Determine the total number of pregnant fish in all tanks.
There are 3 tanks with 4 pregnant fish in each tank, so the total number of pregnant fish is 3 x 4 = 12.
Step 2: Calculate the total number of young fish born.
Each pregnant fish gives birth to 20 young fish, so the total number of young fish is 12 x 20 ... | Step 1: Multiply the number of fish in each tank by the number of fish that give birth:
3 x 4 = 12
Step 2: Multiply the number of young fish that each fish gives birth to by the number of fish that give birth:
12 x 20 = 240
Step 3: Add the number of young fish to the number of fish that give birth to find the total num... | 240 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. H... | Step 1: Calculate the total number of hours Madeline spends on homework per week.
Total hours spent on homework = 18 hours/week * 4 hours/day = 72 hours/week
Step 2: Calculate the total number of hours Madeline spends sleeping per week.
Total hours spent sleeping = 8 hours/day * 7 days/week = 56 hours/week
Step 3: Calc... | Step 1: Calculate the number of hours Madeline works per week
18 hours per week in class * 4 hours per day = 72 hours per week
72 hours per week * 7 days per week = 504 hours per week
Step 2: Calculate the number of hours Madeline spends sleeping per week
8 hours per day * 7 days per week = 56 hours per week
Step 3: Ca... | 46 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: George and Amelia are picking oranges and apples at an orchard. George picks 45 oranges and 5 more apples than Amelia. Amelia picks 18 fewer oranges than George and 15... | ## Step 1: Determine the number of oranges George picked.
George picked 45 oranges.
## Step 2: Determine the number of oranges Amelia picked.
Amelia picked 18 fewer oranges than George, so she picked 45 - 18 = 27 oranges.
## Step 3: Determine the number of apples Amelia picked.
Amelia picked 15 apples.
## Step 4: De... | Step 1: Let G be the number of oranges George picks
Step 2: Let A be the number of apples Amelia picks
Step 3: 45 = G
Step 4: A = 45 - 18
Step 5: A = 27
Step 6: 45 + 27 = 72
#### 72 | 107 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the s... | Step 1:
If the number of whales this year is double the number of whales last year, then there are 2 * 4000 = 8000 whales this year.
Step 2:
If the World Animals Organization predicts that there will be 800 more whales in the sea next year, then the total number of whales next year will be 8000 + 800 = 8800.
#### 8... | Let x be the number of whales in the sea this year.
Then x + 2x = 800
3x = 800
x = 800/3 = 266.67
There will be 2(266.67) = 533.33 whales in the sea next year.
#### 533 | 8800 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Nancy earns $28 for working 4 hours. How many hours does she have to work to earn $70?
Answer:
| Step 1: To find out how much more money Nancy needs to earn, we need to subtract the amount she already earns ($28) from the amount she wants to earn ($70).
$70 - $28 = $42
Step 2: To find out how many hours she needs to work to earn $42, we need to divide the amount she needs ($42) by the number of hours she works per... | Step 1: Determine how much more money Nancy needs to earn to reach her goal.
$70 - $28 = $42
Step 2: Divide the amount of money Nancy needs to earn by the amount she earns per hour to determine the number of hours she needs to work.
42 ÷ 28 = 1.5 hours
#### 1.5 | 10 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Mr. Johnson has a prescription with enough pills for 30 days. After four-fifths of the days, he has 12 pills left. How many pills is Mr. Johnson supposed to take a day... | Step 1: Let x be the number of pills Mr. Johnson should take a day.
Step 2: Since Mr. Johnson takes the same dose daily, the number of pills he takes in 30 days is 30x.
Step 3: Since after four-fifths of the days, he has 12 pills left, the number of days he took is 30 x 4/5 = 24.
Step 4: The number of pills he took in ... | Let x be the number of pills Mr. Johnson is supposed to take per day.
Then, the number of pills he takes in 30 days is 30x.
Since he has 12 pills left after 4x days, the number of pills he has taken is 30x - 4x*4 = 30x - 16x = 14x
Since he has 12 pills left, the total number of pills he has is 30x + 12.
Since he has 30... | 2 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 mi... | First find the time it takes to hike the 20-mile trail downhill:
20 miles / 5 miles per hour = 4 hours
Now find the time it takes to hike the 12-mile trail uphill:
12 miles / 3 miles per hour = 4 hours
Add the break time to the uphill trail:
4 hours + 1 hour = 5 hours
The fastest hike is 5 hours - 4 hours = 1 hour f... | Let's assume the faster trail has x hours to complete.
The faster trail will be covered in 5x/20 = x/4 hours.
The slower trail will be covered in 3(12/2)+1 = 23/2 = 11.5 hours.
The faster trail will be faster than the slower trail by x/4 - 11.5 = x - 46.5 hours.
#### 34.5 hours. | 1 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and th... | Step 1: The Skipper traveled 20 hours at 30 kilometers per hour, so the distance traveled is 20 x 30 = 600 kilometers.
Step 2: The Skipper was halfway to his destination, so the distance to the destination is 2 x 600 = 1200 kilometers.
Step 3: Let x be the distance in kilometers the ship was blown in a westward dire... | Let x be the distance the ship traveled in the westward direction.
The total distance to the destination is 60 km (twice the distance the Skipper was one-third of the way, since the ship was halfway).
The time the Skipper traveled in the eastward direction is 20 hours.
The speed of the ship in the eastward direction is... | 200 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Jaden had 14 toy cars. Then he bought 28 cars from the toy store and got 12 cars for his birthday. Jaden gave 8 of the toy cars to his sister and 3 to his friend Vinni... | Step 1: Calculate the total number of toy cars Jaden had after buying from the toy store:
Jaden initially had 14 toy cars.
He bought 28 more toy cars from the toy store.
So, the total number of toy cars Jaden had after buying from the toy store is: 14 + 28 = 42.
Step 2: Calculate the total number of toy cars Jaden had... | Step 1: Find the total number of cars Jaden received for his birthday.
Jaden received 12 cars for his birthday and 28 more cars from the toy store, so the total number of cars he received is 12 + 28 = 40.
Step 2: Find the number of toy cars Jaden gave away.
Jaden gave 8 toy cars to his sister and 3 to Vinnie, so the t... | 43 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Alexander was 50 inches on his 8th birthday. If he grows 1/2 a foot a year, how many inches tall will he be on his 12th birthday?
Answer:
| Step 1: Convert 1 foot to inches.
1 foot = 12 inches
Step 2: Determine how many inches Alexander will grow each year.
He will grow 1/2 foot/year x 12 inches/foot = 6 inches/year
Step 3: Determine how many years he will be growing.
He will be growing for 12 - 8 = 4 years
Step 4: Determine the total number of inches he w... | Step 1: Convert 1/2 to inches by multiplying 12/2 = 6 inches
Step 2: Add 50 + 6 = 56 inches
Step 3: Divide 56 by 12 = 4.67 inches
#### 4.67 | 74 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Matt and Tom both walk up the stairs of the library. Matt goes up the stairs 20 steps per minute. Tom goes up the stairs 5 steps per minute more than Matt. If Matt has... | Step 1: Let x be the number of minutes Matt has walked.
Step 2: Matt walks 20x steps in x minutes.
Step 3: Tom walks 20x + 5 steps in x minutes.
Step 4: Matt has walked 20x steps and reached 220 steps above the entrance, so 20x = 220.
Step 5: Solve for x: x = 220/20 = 11 minutes.
Step 6: Tom has walked 20x + 5 steps in... | Let x be the number of minutes Matt has been walking.
Then, the number of steps Matt has walked is 20x.
The number of steps Tom has walked is 20x + 5x = 25x.
The number of steps Tom has walked is 25x = 25(220).
Therefore, Tom has walked 25(220) = <<25*220=5500>>5500 steps.
\boxed{5500} | 275 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: It cost 50 dollars to get cats ready for adoption, 100 dollars to get adult dogs ready for adoption, and 150 to get puppies ready for adoption. If 2 cats, 3 adult dog... | Step 1: First, find the total cost for the cats by multiplying the cost per cat by the number of cats.
50 x 2 = 100
Step 2: Next, find the total cost for the dogs by multiplying the cost per dog by the number of dogs.
100 x 3 = 300
Step 3: Now, find the total cost for the puppies by multiplying the cost per puppy by th... | Step 1: 50 + 100 + 150 = 300
Step 2: 300 x 2 = 600
Step 3: 600 + 300 x 3 = 600 + 900 = 1500
Step 4: 1500 + 600 = 2100
#### 2100 | 700 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Coral is reading a book that is 600 pages long. She reads half of it in the first week, and 30 percent of the remaining pages the second week. How many pages must she... | Step 1: Find the number of pages that Coral read in the first week.
Number of pages read in the first week = 600 / 2 = 300
Step 2: Find the number of pages that remain after the first week.
Number of pages remaining after the first week = 600 - 300 = 300
Step 3: Find the number of pages that Coral read in the second ... | Let x be the number of pages Coral reads the third week.
x + x + 300 = 600
2x + 300 = 600
2x = 300
x = 150
#### 150 | 210 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their b... | Step 1: Calculate the number of books Boris donates
Boris donates 1/4 of his 24 books, which is 24 x 1/4 = <<24*1/4=6>>6 books.
Step 2: Calculate the number of books Boris has left
Boris has 24 - 6 = <<24-6=18>>18 books left.
Step 3: Calculate the number of books Cameron donates
Cameron donates 1/3 of his 30 books, whi... | Step 1: Find the number of books Boris has left after donating a fourth of his books.
24 - (1/4) x 24 = 24 - 6 = 18
Step 2: Find the number of books Boris has left after donating a third of his books.
18 - (1/3) x 18 = 18 - 6 = 12
Step 3: Find the total number of books Boris and Cameron have together after donating the... | 38 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matthews has 60 cows, how many cows do the three have altogether... | Step 1: Find the number of cows Aaron has.
Aaron has four times as many cows as Matthews, and Matthews has 60 cows, so Aaron has 4 x 60 = 240 cows.
Step 2: Find the number of cows Aaron and Matthews have together.
Aaron and Matthews have 240 + 60 = 300 cows together.
Step 3: Find the number of cows Marovich has.
Togeth... | Step 1: Matthews has 60 cows.
Step 2: Aaron has 4 x 60 = 240 cows.
Step 3: Together, Aaron and Matthews have 240 + 60 = <<240+60=300>>300 cows.
Step 4: Together, Aaron and Matthews have 300 + 30 = <<300+30=330>>330 cows.
Step 5: Aaron and Matthews have 330 cows altogether.
\boxed{330} | 570 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Jerry is trying to cut down on the amount of soda he drinks. Right now, he drinks 48 sodas a week. If he cuts the number of sodas he drinks in half each week, how many... | Step 1: First, let's determine how many sodas Jerry will drink after one week if he cuts the number in half. 48/2 = 24
Step 2: Then, let's determine how many sodas Jerry will drink after two weeks if he cuts the number in half each week. 24/2 = 12
Step 3: Then, let's determine how many sodas Jerry will drink after t... | Let x be the number of weeks it will take Jerry to cut down on his soda consumption. 48(2x) = 6(2x)
48x = 6x
48 - 6 = 6
42 = 6
x = 7 weeks
#### 7 | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive?
An... | Step 1: Convert the number of gallons to pints
7 gallons = 7 x 8 = 56 pints
Step 2: Divide the number of pints by the number of pints per person
56 pints ÷ 2 pints/person = 28 people
Step 3: Divide the number of people by the number of days in a week
28 people ÷ 7 days/week = 4 people/day
#### 4
#### | Step 1: Convert gallons to pints. 1 gallon = 8 pints. Therefore, 7 gallons = 7 x 8 = 56 pints
Step 2: Divide the number of pints needed to suck by the number of pints sucked per person. 56 pints / 2 pints/person = 28 people
#### 28 | 4 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used?
Answer:
| Step 1: First we need to find the number of new crayons.
120 x 1/3 = <<120*1/3=40>>40
Step 2: Next we need to find the number of broken crayons.
120 x 20/100 = <<120*20/100=24>>24
Step 3: Now we can find the number of slightly used crayons by subtracting the number of new crayons and broken crayons from the total nu... | Step 1: Calculate how many new crayons are in the box.
120 / 3 = 40
Step 2: Calculate how many broken crayons are in the box.
120 * 20/100 = 24
Step 3: Calculate how many slightly used crayons are in the box.
120 - 40 - 24 = 16
#### 16 | 56 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes ... | Step 1: Find the number of minutes that the second lock stalls the raccoons.
The first lock stalls the raccoons for 5 minutes. The second lock stalls them for 3 minutes less than three times as long as the first lock. So the second lock stalls the raccoons for 3(5) - 3 = 15 - 3 = 12 minutes.
Step 2: Find the number of ... | First, calculate how long the second lock stalled the raccoons: 3 minutes less than three times as long as the first lock: 5 - 3*3 = 5 - 9 = -4 minutes
Since the second lock stalled the raccoons for five times as long as the second lock alone, the second lock actually stalled the raccoons for 5*(-4) = -20 minutes.
So, ... | 60 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Georgie needs 3 avocados to make her grandmother's guacamole recipe. If she already had 5 avocados and her sister buys another 4 avocados, how many servings of guacamo... | Step 1: Georgie already has 5 avocados, so she has 3 - 5 = -2 avocados left.
Step 2: Georgie's sister buys 4 more avocados, so she now has 5 + 4 = 9 avocados.
Step 3: Georgie can now make 9 / 3 = 3 servings of guacamole.
Step 4: Georgie can make 3 servings of guacamole.
#### 3 | Step 1: Calculate the total number of avocados Georgie has after her sister buys more.
5 (initial avocados) + 4 (additional avocados) = 9 avocados
Step 2: Calculate the number of servings of guacamole Georgie can make with the total number of avocados.
3 (number of avocados needed) / 9 (total number of avocados) = 1/3
... | 3 |
You are a math professor. Think carefully and solve step-by-step.
Show all your work. At the end, write your final answer as: '#### <number>'
Question: Clive opens a box full of different colored balls.
The box contains 6 blue balls, 4 red balls, 3 times as many green balls as blue ones and twice as many yellow ones... | Step 1: Count the number of blue balls
There are 6 blue balls.
Step 2: Count the number of red balls
There are 4 red balls.
Step 3: Count the number of green balls
There are 3 times as many green balls as blue ones, so 3 x 6 = 18 green balls.
Step 4: Count the number of yellow balls
There are twice as many yellow ba... | Step 1: Find the number of green and yellow balls in the box.
3 times as many green balls as blue ones = 3 × 6 = 18
2 times as many yellow ones as red ones = 2 × 4 = 8
Total number of green and yellow balls = 18 + 8 = 26
Step 2: Find the total number of balls in the box.
Total number of balls = num... | 36 |
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