prompt stringlengths 211 807 | chosen stringlengths 107 16k | rejected stringlengths 87 18.2k | answer stringlengths 1 6 |
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You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he hav... | Step 1: Let C = number of cats, S = number of snakes, P = number of parrots, D = number of dogs, and N = number of rabbits. We know that D = 2.
Step 2: We know that S = C + 6 and P = C - 1.
Step 3: We also know that N = 6 and that there are four legs on 2 of the pets. This means that the number of pets with four legs... | Step 1: Let's denote the number of cats as C, the number of dogs as D, the number of snakes as S, and the number of parrots as P.
Step 2: From the given information, we can set up the following equations:
C + S + P + 6 = 6 (from the number of pets that have four legs)
D = C + S + P - 1 (from the number of pets that hav... | 19 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 give her. She leaves t... | Step 1: Calculate how much money Emma spends in the week.
Step 2: Subtract the amount spent from the initial amount in the account to find the amount left.
Step 3: Determine how many $5 bills she can get.
Step 4: Calculate the remaining amount after the bank transaction.
Step 5: Output the final answer.
Step 1: C... | Step 1: Calculate the total number of days in the week. There are 7 days in a week.
Step 2: Calculate the amount spent each day. $8/day × 7 days = $56.
Step 3: Calculate the number of $5 bills Emma can get. 100 - 56 = 44.
Step 4: Calculate the total amount of money Emma can withdraw. 44 × 5 = 220.
Step 5: Calculate the... | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 mountainside. The second... | Step 1: Ezekiel hiked 10 kilometers on the first day.
Step 2: Ezekiel hiked half the full hike distance on the second day. Since the full hike is 50 kilometers, he hiked 50/2 = 25 kilometers on the second day.
Step 3: Ezekiel's total hike distance is the sum of the first two days. Since he hiked 10 kilometers on the fi... | Step 1: Ezekiel started by hiking 10 kilometers on the first day. Let x represent the total distance of the hike. Then, the second day, Ezekiel hiked 50% of the total distance, or 0.5x kilometers.
Step 2: Since Ezekiel hiked 50% of the total distance on the second day, we can set up the equation 0.5x = 10. To solve for... | 15 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 number. On the third day, h... | Step 1: Let's define the number of tins collected each day as 'x' and the number of tins collected on the third day as 'y'.
Step 2: Since James collected 3 times the number of tins on the second day, the number of tins collected on the second day is 50 * 3 = 150.
Step 3: James collected 50 tins fewer than the number co... | Step 1: Find the number of tins James collected on the second day.
Second day = 3 * First day = 3 * 50 = 150
Step 2: Find the number of tins James collected on the third day.
Third day = 150 - 50 = 100
Step 3: Find the number of tins James collected on the fourth day.
Fourth day = 100
Step 4: Find the number of tins Ja... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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. What is the final sco... | Step 1: Calculate the points for the bullseye. 50 points.
Step 2: Calculate the points for the missed dart. 0 points.
Step 3: Calculate the points for the third dart. 25 points.
Step 4: Add the points for all three darts. 50 + 0 + 25 = 75 points.
#### 75
Final Answer: 75. | Step 1: Let's assign a variable to the score of the bullseye. We'll call this "x".
Step 2: The score from the three darts will be: 3x
Step 3: Since one dart missed the target, the total score is 3x
Step 4: The third dart was worth half the points of the bullseye, so it was worth 0.5x
Step 5: We know that the total ... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter... | Step 1: First, calculate the total width of the splashes created by the pebbles.
Step 2: Calculate the total width of the splashes created by the rocks.
Step 3: Calculate the total width of the splashes created by the boulders.
Step 4: Add the total widths of the splashes created by the pebbles, rocks, and boulders ... | Step 1: Calculate the width of the splash made by the pebbles.
Step 2: Calculate the width of the splash made by the rocks.
Step 3: Calculate the width of the splash made by the boulders.
Step 4: Add the width of the splash made by the pebbles, rocks, and boulders to get the total width of the splashes made by TreQuan.... | 7 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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. How many omelets does e... | Step 1: Convert the number of eggs to individual eggs. There are three dozen eggs, and there are 12 eggs in one dozen. Therefore, there are 3 x 12 = 36 eggs in total. Since Pauly wants to use them all, he has 36 eggs.
Step 2: Determine the number of omelets Pauly can make. Since each omelet requires 4 eggs, the number ... | Step 1: Determine the total number of eggs.
3 dozen eggs = 3 x 12 = 36 eggs.
Step 2: Divide the total number of eggs by the number of people.
36 eggs / 3 people = 12 omelets per person.
#### 12 | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 than the second stack, an... | Step 1: Determine the height of the second stack. It is 3 blocks taller than the first stack, which is 7 blocks tall. Therefore, the second stack is 7 + 3 = 10 blocks tall.
Step 2: Determine the height of the third stack. It is 6 blocks shorter than the second stack, which is 10 blocks tall. Therefore, the third stac... | Step 1: Define the variables for the number of blocks in each stack.
Step 2: Set up the equations for each stack based on the given information.
Step 3: Solve the system of equations to find the number of blocks in each stack.
Step 4: Find the total number of blocks used by adding up the number of blocks in each st... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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. Trace’s shopping bags al... | Step 1: Let's represent the weight of one of Trace's bags as "x" pounds.
Step 2: We know that the combined weight of the five shopping bags is equal to the combined weight of Gordon's two shopping bags. So we can write an equation:
5x = 3 + 7
Step 3: Simplify the equation by adding 3 and 7, which equals 10.
... | Step 1: Let x be the weight of one of Trace’s shopping bags. Then the total weight of the five shopping bags is 5x.
Step 2: Since the total weight of the five shopping bags is equal to the total weight of Gordon’s shopping bags, we can set up an equation:
5x = 3 + 7
Step 3: Simplify the equation:
5x = 10
Step 4: Solve ... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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:
| Step 1: Let x be the number of books in the library.
Step 2: Since 35% of the books are for children, 65% are for adults.
Step 3: The number of books for adults is 104.
Step 4: Since 65% of the total number of books is equal to 104, we can set up the following equation: 0.65x = 104
Step 5: To solve for x, we can ... | Step 1: Find the total number of books in the library.
Step 2: Calculate 35% of the total number of books to determine the number of books for children.
Step 3: Subtract the number of books for adults from the total number of books to determine the number of books for children.
Step 4: The result from step 3 is the... | 160 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Calculate the total cost of the two cards Nicky traded for the $21 card. 2 cards * $8 = $16.
Step 2: Calculate the profit Nicky made by subtracting the cost of the two cards from the value of the $21 card. Profit = $21 - $16 = $5.
#### 5. Tom is selling items at a 15% profit. If he sells a shirt for $25, how m... | Step 1: Determine the total amount Nicky will get from the trade.
Step 2: Determine the value of the card Nicky will get from the trade.
Step 3: Calculate the profit Nicky will make.
Step 4: Output the final answer.
Step 1: Determine the total amount Nicky will get from the trade.
Nicky will get $8 * 2 = $16 from the ... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard,... | Step 1: Calculate the total time of all the players.
Step 2: Divide the total time of all players by the number of players.
Step 3: Convert the average time from seconds to minutes.
Step 4: Output the final answer on its own line as: '#### <answer>'
Step 1: Calculate the total time of all players.
Total time = 13... | Step 1: Convert the total number of seconds to minutes by dividing by 60.
Step 2: Add up the total number of seconds for all the players.
Step 3: Divide the total number of seconds by the number of players to find the average time per player in minutes.
Step 4: Calculate the total number of seconds.
Step 5: Calculate t... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: The number of short students in a class is 2/5 of the total number of students. If there are 90 tall students, and the class has 400 students, calculate the total number of students with av... | Step 1: Let x be the total number of students in the class.
Step 2: The number of short students is 2/5 of the total number of students, so the number of short students is 2x/5.
Step 3: We are given that there are 90 tall students, so the number of tall students is x - 2x/5 = 3x/5.
Step 4: Since the class has 400 s... | Step 1: Calculate the number of short students. 2/5 * 400 = 160 short students.
Step 2: Calculate the number of students with average height. 400 - 160 = 240 students with average height.
#### 240 | 150 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| Step 1: First, we must determine the total amount James spent. This can be calculated by multiplying the number of coins he bought by the price of each coin. Therefore, the total amount spent is 20 * $15 = $300.
Step 2: Next, we need to find the new value of each coin after the value has increased by 2/3. This can... | Step 1: Calculate the total amount of money James had initially.
James bought 20 coins at $15 each, so he had 20 * $15 = $300.
Step 2: Calculate the increase in the value of the coins.
The value of the coins increases by 2/3, so the new value is $300 + ($300 * 2/3) = $300 + $200 = $500.
Step 3: Calculate how many ... | 12 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 orange flowers. For ... | Step 1: First, let's determine the number of each type of rose in the vase. 50% of 12 red roses is 6, 50% of 18 pink roses is 9, 25% of 20 yellow roses is 5, and 25% of 8 orange roses is 2.
Step 2: Next, we add up the number of each type of rose to find the total number of roses in the vase. 6 + 9 + 5 + 2 = 22
Step 3... | Step 1: First, we need to find the number of each type of rose that Lorelei picks. We can do this by multiplying the number of each type of rose by 50%. So, she picks 12 x 0.5 = 6 red roses, 18 x 0.5 = 9 pink roses, 20 x 0.25 = 5 yellow roses, and 8 x 0.25 = 2 orange roses.
Step 2: Next, we need to add the number o... | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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. As she went back throug... | Step 1: Tonya made a total of $50, and she sold $11 worth of small lemonades and $24 worth of medium lemonades. Therefore, she must have sold $50 - $11 - $24 = $15 worth of large lemonades.
Step 2: The number of large lemonades Tonya sold is equal to $15 divided by $3.
Step 3: Therefore, the number of cups of large... | Step 1: To solve this problem, we need to set up equations based on the given information. Let's define the number of small cups sold as S, medium cups sold as M, and large cups sold as L.
Step 2: We know that the total number of cups sold is the sum of small, medium, and large cups. Therefore, S + M + L = 50 (total ... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 was able to finish his ... | Step 1: Let's define the time it takes for Leo to finish the third part of the assignment as "x" minutes.
Step 2: We know that Leo finished the first part of his assignment in 25 minutes, so the time it took for him to finish the second part is 2 * 25 = 50 minutes.
Step 3: Since the time it takes for Leo to finish t... | Step 1: Let x = the time Leo took to finish the third part of the assignment.
Step 2: Since the first part took 25 minutes, the second part took 2x minutes.
Step 3: Since the second part took twice as long as the first part, the time to finish the third part is 3x minutes.
Step 4: The sum of the times for all three... | 45 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 candy for $2.50 each. ... | Step 1: Determine the cost of the tickets.
Step 2: Calculate the cost of the combo meal.
Step 3: Calculate the cost of the candy.
Step 4: Add the costs of the tickets, combo meal, and candy.
Step 5: Output the final answer.
#### Step 1: Determine the cost of the tickets.
Connor is taking his date to the movies. ... | Step 1: First, we must add the cost of the tickets. The cost of 2 tickets is 2 x 10 = 20 dollars.
Step 2: Next, we add the cost of the large popcorn & 2 drink combo meal. The cost of the combo meal is 11 dollars and the cost of the popcorn is 10 dollars. So the total cost for the combo meal is 11 + 10 = 21 dollars... | 36 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 beans are there?
Answe... | Step 1: Find the number of red beans
Number of red beans = 572 x 1/4 = 143
Step 2: Find the number of beans remaining after removing the red beans
Number of beans remaining = 572 - 143 = 429
Step 3: Find the number of white beans
Number of white beans = 429 x 1/3 = 143
Step 4: Find the number of beans remaining after r... | Step 1: Convert the fractions into equivalent decimals.
One-fourth of the beans are red, so the number of red beans is 572 * 1/4 = 143.
One-third of the remaining beans are white, so the number of white beans is 572 - 143 = 429.
Step 2: Calculate the number of beans remaining after removing the red and white beans. ... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have?
Answe... | Step 1: Let F = the number of Fords, B = the number of Buicks, and C = the number of Chevys.
Step 2: From the problem, we know that F + B + C = 301, and that B = 4C and C = 2F + 3.
Step 3: We can substitute B and C in the first equation with 4C and 2F + 3, respectively, to get F + 4C + 2F + 3 = 301.
Step 4: Simplif... | Step 1: Let B be the number of Buicks, F be the number of Fords, and C be the number of Chevys. Then we have the following equations:
Step 2: B + F + C = 301
Step 3: 2F + 3 = B
Step 4: 4F + 3 = B
Step 5: B = 2F + 3
Step 6: B = 4F + 3
Step 7: 2F + 3 = 4F + 3
Step 8: 2F - 4F = 3 - 3
Step 9: -2F = 0
Step 10: F ... | 220 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each m... | Step 1: To find the number of months Peter needs to wait to reach his goal, we first need to determine how much more money he needs to save.
Step 2: We can do this by subtracting the amount he already has from the goal amount. So, $5,000 (goal) - $2,900 (savings) = $2,100.
Step 3: Since Peter can save $700 each mont... | Step 1: Determine the amount Peter needs to save each month.
Step 2: Calculate the number of months it will take for Peter to save enough to cover the travel.
Step 3: Output the final answer on its own line as: '#### <answer>'
Step 4: Calculate the number of months it will take for Peter to save enough to cover the tra... | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 runners as last year. Ho... | Step 1: Let x represent the number of runners this year.
Step 2: We know that last year, 200 people signed up, and 40 did not show up. This means that the number of people who actually ran last year was 200 - 40 = 160.
Step 3: This year, there will be twice as many runners as last year, which means that this year th... | Step 1: Let the number of runners last year be x.
Step 2: The number of people who showed up to run last year is x - 40.
Step 3: This year, there will be twice as many runners, so the number of runners this year will be 2x.
Step 4: The number of people who showed up to run this year is 2x - 40.
Step 5: Since the n... | 320 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 remaining in all the t... | Step 1: Calculate the number of fruits Dulce picks from each tree. 2/5 of 200 is 2/5 * 200 = 80.
Step 2: Calculate the number of fruits remaining in each tree. 200 - 80 = 120.
Step 3: Calculate the total number of fruits remaining in all the trees. 8 trees * 120 fruits per tree = 960.
#### 960 | Step 1: Calculate the total number of oranges picked from all the trees.
Step 2: Calculate the number of oranges remaining in all the trees.
Step 3: Calculate the final answer.
Step 4: Output the final answer on its own line.
Step 1: Calculate the total number of oranges picked from all the trees.
Total number of oran... | 960 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 traded another 8 of h... | Step 1: We have two sequences of trading cards: Padma traded 2 cards for 10 cards, and Robert traded 8 cards for 15 cards. We need to find out how many cards were traded in total.
Step 2: First, let's calculate the number of cards traded by each of them. Padma traded 2 cards for 10 cards, so she traded 2/10 = 0.2 of ... | Step 1: Identify the initial number of cards for each person.
Padma starts with 75 cards.
Robert starts with 88 cards.
Step 2: Identify the number of cards traded for each pair.
Padma traded 2 cards for 10 cards.
Robert traded 8 cards for 15 cards.
Step 3: Calculate the net gain for Padma from trading with Robert.
Pa... | 35 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: There are 920 deer in a park. 10% of the deer have 8 antlers, and a quarter of that number also have albino fur. How many albino 8-antlered deer are there?
Answer:
| Step 1: Calculate the number of deer with 8 antlers.
10% of 920 deer have 8 antlers. This is equal to 0.1 * 920 = 92 deer.
Step 2: Calculate the number of deer with 8 antlers and albino fur.
A quarter of the deer with 8 antlers also have albino fur. This is equal to 0.25 * 92 = 23 deer.
#### 23 | Step 1: First, we need to find the number of deer that have 8 antlers. Since 10% of the deer have 8 antlers, we can find this number by multiplying 920 by 0.1.
920 * 0.1 = 92 deer
Step 2: Now we need to find the number of deer that have both 8 antlers and albino fur. Since a quarter of the deer with 8 antlers also ha... | 23 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 six times as many packs ... | Step 1: First, find out how many glue sticks Allison bought. Since Allison bought 8 more glue sticks than Marie, and Marie bought 15 glue sticks, then Allison bought 15 + 8 = 23 glue sticks.
Step 2: Next, find out how many packs of construction paper Allison bought. Since Marie bought six times as many packs of constru... | Step 1: Determine the number of glue sticks Allison bought. Since Allison bought 8 more glue sticks than Marie, who bought 15, Allison bought 15 + 8 = 23 glue sticks.
Step 2: Determine the number of packs of construction paper Allison bought. Since Marie bought 30 packs and Allison bought six times as many as Marie, ... | 28 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 expansion does add another 30 ... | Step 1: James gets 100 hours of gameplay from the first game.
Step 2: 80% of 100 hours is 0.8 * 100 = 80 hours.
Step 3: James gets 80 hours of boring grinding from the first game.
Step 4: The first game has 20 hours of enjoyable gameplay (100 - 80 = 20).
Step 5: The expansion adds 30 hours of enjoyable gameplay.
S... | Step 1: Convert the amount of time promised in the first game from hours to hours.
100 hours / 100 = 1 hour
Step 2: Calculate the amount of time James gets for the first game.
1 hour * 0.8 = 0.8 hours
Step 3: Calculate the amount of time James gets for the first game after the expansion.
0.8 hours * 1.3 = 1.04 hou... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 of soda has 12 servin... | Step 1: First, calculate the total amount of money Monica and Michelle have together. This is $15 (Monica) + $12 (Michelle) = $27.
Step 2: Next, calculate the total cost of the cake. This is $15.
Step 3: Calculate the cost of soda. Monica and Michelle have a total of $27, and the cake costs $15. This leaves $12 for... | Step 1: Determine the total amount of money Monica and Michelle have together.
Step 2: Determine the number of bottles of soda each can afford.
Step 3: Calculate the number of servings of soda each guest gets.
Step 4: Output the final answer.
Step 1: Monica and Michelle have $15 + $12 = $27 together.
Step 2: Since the... | 6 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 large ones did he buy?
A... | Step 1: First, let's denote the number of large glasses Peter bought as \(x\).
Step 2: Peter has $50 and pays for 8 small glasses at $3 each and \(8 \times 5 = 40\) large glasses at $5 each. The total cost of the glasses can be calculated as:
$3 \times 8 + $5 \times x = $24 + 5x
Step 3: Since Peter has $1 left i... | Step 1: Let's define the variables: x as the number of large glasses Peter buys.
Step 2: Write the equation based on the information given:
3x + 8x = 50 - 1
Step 3: Combine the terms:
11x = 49
Step 4: Divide both sides by 11:
x = 49/11
Step 5: Evaluate the expression:
x = 4.4545...
Step 6: Round down to the ne... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mara has 40 crayons and 10 percent of her crayons are pink. Luna has 50 crayons and 20 percent of them are pink. In total how many pink crayons do Mara and Luna have?
Answer:
| Step 1: Find the number of pink crayons Mara has. Since 10 percent of her crayons are pink, we multiply the total number of crayons by 0.1.
Mara's pink crayons = 40 * 0.1 = 4
Step 2: Find the number of pink crayons Luna has. Since 20 percent of her crayons are pink, we multiply the total number of crayons by 0.2.
Luna... | Step 1: Calculate the number of pink crayons Mara has.
Mara has 40 crayons and 10 percent of them are pink. 10 percent of 40 is 4.
Step 2: Calculate the number of pink crayons Luna has.
Luna has 50 crayons and 20 percent of them are pink. 20 percent of 50 is 10.
Step 3: Add the number of pink crayons Mara and Luna have... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 each. How many small ... | Step 1: Calculate the total number of seeds Oshea has: 200 seeds
Step 2: Calculate the total number of seeds that can be held in the large planters: 4 planters * 20 seeds/planter = 80 seeds
Step 3: Calculate the number of seeds that will be left over after filling the large planters: 200 seeds - 80 seeds = 120 seeds
St... | Step 1: Calculate the number of seeds that can be held in the large planters.
200 seeds / 4 planters = 50 seeds per planter
Step 2: Calculate the number of seeds that can be held in the small planters.
200 seeds / 4 planters = 50 seeds per planter
Step 3: Calculate the number of small planters needed to hold the seeds.... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 between the five containers... | Step 1: Calculate the total number of pencils that Eric has.
150 (pencils he had before) + 30 (additional pencils) = 180 pencils
Step 2: Divide the total number of pencils by the number of containers.
180 (total pencils) ÷ 5 (containers) = 36
The final answer is: #### 36 | Step 1: Find the total number of pencils after the additional 30 pencils are brought.
Step 2: Divide the total number of pencils by the number of containers.
Step 3: Check if the result is a whole number.
Step 4: If the result is a whole number, divide by 5 to find the number of pencils each container can get.
Step 5: ... | 36 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 10 children to the gu... | Step 1: First, let's identify the number of children in the original event. Since half of the 40 men are women, the number of women is 40 / 2 = 20.
Step 2: The number of children is the total number of guests minus the number of men and women. children = total_guests - men - women = 80 - 40 - 20 = 20.
Step 3: Since ... | Step 1: First, let's find out how many women there are. Since half the number of men are women, the number of women will be 40 / 2 = 20.
Step 2: Now we know the total number of guests at the event is 80, and the number of men is 40, the number of women is 20, and the number of children is 0. Therefore, the number of ... | 30 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 each have 50 stamps. H... | Step 1: Calculate the total number of stamps in the first 10 pages. 5 rows of 30 stamps in each of the first 10 pages means that 5 x 10 = 50 pages are filled with 30 stamps each. 50 x 30 = 1500 stamps are in these 10 pages.
Step 2: Calculate the number of stamps in the remaining pages. There are 50 pages in total, s... | Step 1: Calculate the total number of stamps in the first 10 pages. There are 5 rows of 30 stamps in each page. So the total number of stamps in the first 10 pages is 5 * 30 = 150.
Step 2: Calculate the number of pages with 50 stamps in each of the remaining 40 pages. There are 40 pages remaining and each of these page... | 3500 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 liters in the evening. H... | Step 1: Calculate the total amount of water the sprinkler system uses in one day.
The sprinkler system waters the garden with 4 liters of water in the morning and 6 liters in the evening. So the total amount of water the system uses in one day is 4 + 6 = 10 liters.
Step 2: Divide the total amount of water the sprinkler... | Step 1: The sprinkler system waters the garden twice a day, so the total water it uses each day is 2 * 4 = 8 liters.
Step 2: In one day, the sprinkler system uses a total of 8 + 8 = 16 liters of water.
Step 3: Since the garden uses 16 liters of water per day, the number of days the sprinkler system will use 50 liter... | 5 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 work at 9:00 a.m., what'... | Step 1: Let's denote the time taken from the first station to Mr. Langsley's workplace as x minutes.
Step 2: We know that Mr. Langsley gets picked up at 6:00 a.m. and takes 40 minutes to arrive at the first station. Therefore, the time elapsed from 6:00 a.m. to the first station is 40 minutes.
Step 3: Since the bus ... | Step 1: Let's start by defining some variables. Let x be the time taken in minutes from the first station to Mr. Langsley's workplace.
Step 2: We know that the bus takes 40 minutes to arrive at the first station, so we can set up the equation 40 = x.
Step 3: We also know that Mr. Langsley arrives at work at 9:00 a.m... | 140 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 ordered a collection of ... | Step 1: To find the total number of cards Janessa has after buying the collection, we need to add the cards she already has, the cards her father gave her, and the cards she ordered from eBay.
Step 2: The number of cards Janessa has before throwing away the bad cards is 4 (cards she already has) + 13 (cards her fathe... | Step 1: First, let's calculate the total number of cards that Janessa had before throwing any away. She had 4 cards from her father, 13 cards from eBay, and then she threw away 4 cards. So, the total number of cards that Janessa had before throwing any away is 4 + 13 - 4 = 17.
Step 2: Since Janessa threw away 29 cards ... | 20 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost?
Answer:
| Step 1: John buys 3 barbells.
Step 2: Let's denote the cost of each barbell as x. Then, the total cost of the 3 barbells is 3x.
Step 3: John gives $850 and gets $40 in change. This means that the total cost of the 3 barbells is equal to $850 - $40, or $810.
Step 4: Now, we can set up the equation: 3x = 810.
Step ... | Step 1: Let x be the cost of each barbell.
Step 2: The total cost of 3 barbells is 3x.
Step 3: John gives $850 and gets $40 in change, so the total amount he pays is $850 + $40 = $890.
Step 4: This means 3x = $890.
Step 5: To find the cost of each barbell, we need to divide both sides of the equation by 3.
Step 6:... | 270 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 a week. If his second ... | Step 1: Let's assume the number of hours Mike worked for his first job is x hours.
Step 2: We know that the wages for his second job is $9 per hour and that he worked 12 hours per week. We can calculate his wages for the second job as 12 hours * $9 per hour = $108.
Step 3: We know that the total wages for both jobs is ... | Step 1: Let x be the amount of money Mike received from his first job.
Step 2: 12x represents the amount of money Mike earned from his second job.
Step 3: We know that the total wages earned by Mike is 160. So we can set up the equation: x + 12x = 160
Step 4: Combining like terms, we get 13x = 160
Step 5: Divide both... | 52 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 he sleds down the tall ... | Step 1: Let's define some variables. Let x be the number of times Wilson sleds down the tall hills.
Step 2: Since Wilson sleds down the 2 tall hills 4 times each, the total number of times he sleds down the tall hills is 2 x 4 = 8.
Step 3: Wilson sleds down the 3 small hills half as often as he sleds down the tall hill... | Step 1: Let's say the number of times Wilson sleds down the tall hills is x.
Step 2: Since Wilson sleds down the tall hills 4 times each, the total number of times he sleds down the tall hills is 4x.
Step 3: Since Wilson sleds down the tall hills half as often as he sleds down the small hills, the number of times he sl... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 there?
Answer:
| Step 1: Let's say there are x cans of cherry soda.
Step 2: Then, there are 2x cans of orange pop.
Step 3: The total number of cans of soda is 24, so we can set up the equation x + 2x = 24.
Step 4: Simplifying the equation, we get 3x = 24.
Step 5: Dividing both sides of the equation by 3, we get x = 8.
Step 6: Since th... | Step 1: Define the variables
Let x = the number of cans of cherry soda
Let y = the number of cans of orange pop
Step 2: Write an equation based on the information
Since there are twice as many cans of orange pop as there are of cherry soda, y = 2x
Step 3: Write an equation based on the total number of cans
x + y = 24... | 8 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 bags of nails to load,... | Step 1: Calculate the total weight of the nails
4 bags of nails * 5 kg per bag = 20 kg
Step 2: Calculate the total weight of the hammers
12 bags of hammers * 5 kg per bag = 60 kg
Step 3: Calculate the total weight of the wooden planks
10 bags of wooden planks * 30 kg per bag = 300 kg
Step 4: Calculate the total weight ... | Step 1: Calculate the total weight of all the items Daryl has.
5kg (nails) x 4 = 20kg (nails)
5kg (hammers) x 12 = 60kg (hammers)
30kg (planks) x 10 = 300kg (planks)
Step 2: Add up the total weight of all the items Daryl has.
20kg (nails) + 60kg (hammers) + 300kg (planks) = 380kg
Step 3: Calculate how much Daryl can lo... | 80 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 Lexia?
Answer:
| Step 1: Convert Kwame and Connor's study time to minutes.
Kwame studied for 2.5 hours = 2.5 x 60 = 150 minutes
Connor studied for 1.5 hours = 1.5 x 60 = 90 minutes
Step 2: Calculate the total time Kwame and Connor studied.
150 minutes + 90 minutes = 240 minutes
Step 3: Convert Lexia's study time to minutes.
Lexia studi... | Step 1: Convert Kwame's study time to minutes: 2.5 hours = 2.5 x 60 = 150 minutes.
Step 2: Convert Connor's study time to minutes: 1.5 hours = 1.5 x 60 = 90 minutes.
Step 3: Convert Lexia's study time to minutes: 97 minutes.
Step 4: Find the difference between Kwame and Lexia's study time and Connor's study time: 150 -... | 143 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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. She had 15 gallons lef... | Step 1: Calculate the total gallons of milk Aunt May collected today.
365 gallons (morning) + 380 gallons (evening) = 745 gallons
Step 2: Add the leftover milk from yesterday to the total collected today.
745 gallons (collected today) + 15 gallons (leftover) = 760 gallons
Step 3: Subtract the gallons sold to the ice... | Step 1: Calculate the total amount of milk Aunt May had after milking her cows twice a day. milk_this_morning = 365, milk_this_evening = 380, milk_left_over_yesterday = 15, milk_total = milk_this_morning + milk_this_evening + milk_left_over_yesterday
Step 2: Calculate the total amount of milk Aunt May had before milkin... | 148 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Zrinka is 6 years old.
Step 2: Jordyn's age is double Zrinka's age, so Jordyn's age is 6 x 2 = 12 years old.
Step 3: Mehki is 10 years older than Jordyn, so Mehki's age is 12 + 10 = 22 years old.
#### 22 | Step 1: Let Zrinka's age be x. Then Jordyn's age is 2x.
Step 2: Mehki's age is 10 years older than Jordyn's age, so Mehki's age is 2x + 10.
Step 3: Zrinka is 6 years old, so x = 6.
Step 4: Jordyn's age is 2x, which is 2*6 = 12 years old.
Step 5: Mehki's age is 2x + 10, which is 2*6 + 10 = 16 years old.
#### 16 | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Juan needs 10 half-gallons of milk to bake 40 cookies, so to find out how much milk he needs to bake one cookie, divide 10 half-gallons by 40 cookies. 10/40 = 0.25 half-gallons per cookie
Step 2: Since Juan needs 0.25 half-gallons per cookie, to find out how much milk he needs to bake 200 dozen cookies, multipl... | Step 1: Convert 200 dozen cookies to the number of cookies by multiplying 200 by 12, which gives 2400 cookies.
Step 2: Convert 10 half-gallons of milk to gallons by dividing 10 by 0.5, which gives 20 gallons.
Step 3: Divide the number of gallons of milk needed for 40 cookies (10 * 4 = 40) by the number of cookies Juan ... | 50 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: A single train car can carry 60 passengers. A 747 airplane can carry 366 passengers. How many more passengers can a train with 16 cars carry than 2 airplanes?
Answer:
| Step 1: First, we calculate the total number of passengers that a train with 16 cars can carry. We multiply the number of cars by the number of passengers per car: 16 * 60 = 960 passengers.
Step 2: Next, we calculate the total number of passengers that 2 airplanes can carry. We multiply the number of airplanes by the ... | Step 1: Calculate the total number of passengers a 747 airplane can carry
747 * 60 = 44840
Step 2: Calculate the total number of passengers a train with 16 cars can carry
16 * 60 = 960
Step 3: Calculate the difference in the number of passengers a train and 2 airplanes can carry
960 - 44840 = -44680
#### -44680 | 228 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?
Answer:
| Step 1: To find the number of students Adam will teach in 10 years, we need to calculate the total number of students he will teach in 10 years, regardless of the number of students he teaches in the first year.
Step 2: Since Adam teaches 50 students in the first year, we need to add this number to the number of stud... | Step 1: Calculate the increase in the number of students Adam teaches each year.
Year 1: 50 - 40 = 10 students
Year 2: 50 + 10 = 60 students
Year 3: 60 + 10 = 70 students
Year 4: 70 + 10 = 80 students
Year 5: 80 + 10 = 90 students
Year 6: 90 + 10 = 100 students
Year 7: 100 + 10 = 110 students
Year 8: 110 + 10 = 120 stu... | 490 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 tree. How tall is the ... | Step 1: Let's represent the heights of the trees with the variables T, M, and S, respectively.
Step 2: Since the tallest tree is 108 feet, we have T = 108.
Step 3: The middle-sized tree is 6 feet less than half the height of the tallest tree. So, M = (T / 2) - 6 = (108 / 2) - 6 = 54 - 6 = 48.
Step 4: The smallest t... | Step 1: The middle tree is 6 feet less than half the height of the tallest tree.
Step 2: The middle tree is 6 feet less than (1/2)(108 feet) = 54 feet.
Step 3: The middle tree is 54 feet. The smallest tree is 1/4 the height of the middle tree.
Step 4: The smallest tree is 1/4(54 feet) = 13.5 feet.
Step 5: The sma... | 12 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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, and Anthony can fold 7... | Step 1: First, we need to determine the rate of each person in towels per minute.
We will convert the time from minutes to hours. Since there are 60 minutes in an hour, we will divide 1 hour by 60.
Jane's rate: 3 towels / 5 minutes = 3/5 towels per minute.
Kyla's rate: 5 towels / 10 minutes = 1/2 towels per minute.
An... | Step 1: Calculate the rate of work for each person per minute.
Jane's rate = 3 towels / 5 minutes = 0.6 towels/minute
Kyla's rate = 5 towels / 10 minutes = 0.5 towels/minute
Anthony's rate = 7 towels / 20 minutes = 0.35 towels/minute
Step 2: Calculate the combined rate of work for all three people per minute.
Combined ... | 87 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Dave bought 3 packs of white T-shirts and 2 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 4. How many T-shirt... | Step 1: Count the number of white T-shirts. Dave bought 3 packs of white T-shirts. In each pack, there are 6 T-shirts. Therefore, he bought 3 * 6 = 18 white T-shirts.
Step 2: Count the number of blue T-shirts. Dave bought 2 packs of blue T-shirts. In each pack, there are 4 T-shirts. Therefore, he bought 2 * 4 = 8 blue ... | Step 1: Let's represent the number of packs of white T-shirts by the variable W and the number of packs of blue T-shirts by the variable B.
Step 2: The total number of white T-shirts is 3W and the total number of blue T-shirts is 2B.
Step 3: The total number of T-shirts is 3W + 2B.
Step 4: Since the white T-shirts c... | 26 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: We are given that Kyle and Tasha caught the same number of fish. Let's denote the number of fish that Kyle and Tasha caught as "x".
Step 2: Since Carla caught 8 fish, we can write the equation: 36 = 8 + x + x
Step 3: Simplify the equation: 36 = 8 + 2x
Step 4: Subtract 8 from both sides: 28 = 2x
Step 5: Div... | Step 1: We are given that Kyle and Tasha caught the same number of fish, so we can say that the number of fish Kyle caught equals the number of fish Tasha caught.
Step 2: We are given that Carla caught 8 fish, which is the number of fish Carla caught. We are also given the total number of fish caught by all three, wh... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 cups. How many pallets... | Step 1: Let x be the number of pallets of paper products.
Step 2: The store received 20 pallets, so x = 20.
Step 3: Half the pallets were paper towels, so the number of pallets of paper towels is x/2 = 20/2 = 10.
Step 4: A quarter the pallets were tissues, so the number of pallets of tissues is x/4 = 20/4 = 5.
Step 5: ... | Step 1: Let P = the number of pallets of paper products.
Step 2: The number of pallets of paper towels is P/2.
Step 3: The number of pallets of tissues is P/4.
Step 4: The number of pallets of paper plates is P/5.
Step 5: The total number of pallets is P + P/2 + P/4 + P/5 = 20.
Step 6: To solve the equation, multiply b... | 1 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 one week on reading book... | Step 1: Determine the number of hours Mark reads per week.
Mark reads 2 hours/day. There are 7 days in a week.
Therefore, Mark reads 2 * 7 = 14 hours per week.
Step 2: Determine the additional hours Mark wants to spend reading per week.
Mark wants to increase his time spent reading books by 4 hours.
Step 3: Cal... | Step 1: Let's first determine how many hours Mark wants to spend on reading books in one week. We know that he wants to increase his time spent on reading books by 4 hours each week.
Step 2: Let's say the number of hours Mark wants to spend reading books in one week is x. Since he increases his time by 4 hours each w... | 18 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 half of the remaining ... | Step 1: Start with the initial number of seashells, which is 180. Then subtract 40 to find the remaining seashells after giving some to his friends: 180 - 40 = 140. Now, subtract 30 from the remaining seashells: 140 - 30 = 110.
Step 2: Calculate half of the remaining seashells: 110 / 2 = 55. This is the number of seash... | Step 1: Subtract the number of seashells given away from the initial number to find the remaining number of seashells.
Remaining seashells = Initial seashells - Seashells given away
Remaining seashells = 180 - 40
Remaining seashells = 140
Step 2: Divide the remaining seashells by 2 to find out how many seashells Ali s... | 55 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 cost $3 each, what was ... | Step 1: Let the cost of each art book be x.
Step 2: Alicia buys 2 math books for $3 each, so the total cost for the math books is 2 x 3 = $6.
Step 3: Alicia buys 3 art books for x dollars each, so the total cost for the art books is 3 x dollars.
Step 4: Alicia buys 6 science books for $3 each, so the total cost for... | Step 1: Define the variables. Let's call the cost of each art book "x".
Step 2: Write an equation representing the total cost of the books. The equation is 2x + 3(2) + 6(3) = 30.
Step 3: Solve the equation for x. First, distribute the 3 to the terms inside the parentheses. 2x + 6 + 18 = 30.
Step 4: Combine the constant... | 2 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Calculate the initial total number of pens.
Total number of pens = 9 blue pens + 21 black pens + 6 red pens = 36 pens.
Step 2: Calculate the number of pens after removing four blue pens.
Number of blue pens = 9 - 4 = 5
Total number of pens after removal = 36 - 4 = 32 pens.
Step 3: Calculate the number of pens... | Step 1: The total number of pens in the jar is the sum of the number of blue, black, and red pens.
Step 2: Let x be the number of pens removed from the jar. The number of pens left in the jar is the sum of the number of blue, black, and red pens minus x.
Step 3: So the equation is: 9 + 21 + 6 - 4 - 7 = x
Step 4: So... | 25 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Find the current age of the middle child. Since the eldest child is 20 years old, and the siblings are born 5 years apart, the middle child is 20 - 5 = 15 years old.
Step 2: Find the current age of the youngest child. Since the middle child is 15 years old, the youngest child is 15 - 5 = 10 years old.
Step 3:... | Step 1: Let's define the ages of the siblings in terms of a variable.
Let x be the age of the eldest child now.
Since the siblings are born 5 years apart, the ages of the siblings now are x, x + 5, and x + 10.
Step 2: We know that the eldest child is 20 years old now, so we can substitute this value into the expression... | 75 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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: Calculate how many cupcakes Sarah has: 9 cupcakes / 3 = 3 cupcakes
Step 2: Calculate how many desserts Michael has: 5 cookies + 3 cupcakes = 8 desserts
Step 3: Calculate how many desserts Sarah has: 3 cupcakes + 8 desserts = 11 desserts
Step 4: Output the final answer on its own line: 11
#### 11
```sql
```sql
... | Step 1: Calculate how many cupcakes Sarah has after giving 1/3 of her 9 cupcakes to Michael.
9 * (1/3) = 3
Step 2: Calculate how many desserts Sarah has after giving 1/3 of her 9 cupcakes to Michael.
9 - 3 = 6
Step 3: Calculate how many desserts Sarah has after giving 5 of her 6 desserts to Michael.
6 - 5 = 1
#### ... | 11 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 in all?
Answer:
| Step 1: Let's represent the number of pink, orange, and purple marbles with variables: P (pink), O (orange), and P (purple), respectively.
Step 2: We know that Katie has 13 pink marbles. Therefore, P = 13.
Step 3: We are told that Katie has 9 fewer orange marbles than pink marbles. This can be represented as O = P -... | Step 1: Let's denote the number of orange marbles as x. Since Katie has 9 fewer orange marbles than pink marbles, the number of pink marbles is x + 9.
Step 2: Katie has 4 times as many purple marbles as orange marbles. Therefore, the number of purple marbles is 4x.
Step 3: To find the total number of marbles, we nee... | 33 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 empties all of the machin... | Step 1: Let $x$ be the number of machines in the launderette. Since each machine holds the same amount of money, let $y$ be the amount of money each machine holds. Then $80x$ represents the total amount of money from the quarters, and $100y$ represents the total amount of money from the dimes.
Step 2: Since Erin has ... | Step 1: Let's assume that there are x machines in the launderette. Then the total amount of money in the machines is 80x + 100x.
Step 2: We know that Erin has a total of $90 after emptying the machines. This means that the total amount of money in the machines is $90. So we can set up the equation 80x + 100x = 90.
St... | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Richard can clean his room in 22 minutes. Cory takes 3 minutes more than Richard to clean her room while Blake can clean his room 4 minutes more quickly than Cory. If they have to clean the... | Richard cleans his room in 22 minutes. Cory takes 3 minutes more than Richard, so Cory cleans her room in 25 minutes. Blake cleans his room 4 minutes more quickly than Cory, so Blake cleans his room in 21 minutes.
Richard cleans his room twice a week for 2 weeks, so he spends 2 x 22 = 44 minutes each week. Cory cleans ... | Richard: 22 min
Cory: 22 + 3 = 25 min
Blake: 25 - 4 = 21 min
Richard + Cory + Blake = 22 + 25 + 21 = 68 min
#### 68 | 136 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 did Nathan and Tobias pl... | Step 1: Calculate the number of days that Nathan played. Since Nathan played for two weeks, which is 14 days, and he played every day, the number of days that Nathan played is 14.
Step 2: Calculate the number of hours that Nathan played. Since Nathan played for 3 hours every day for 14 days, the total number of hours t... | Step 1: Calculate the total hours Nathan played.
Nathan played for 3 hours for two weeks. One week is 7 days, so he played 3 * 7 = 21 hours.
Step 2: Calculate the total hours Tobias played.
Tobias played for 5 hours a day, for one week. One week is 7 days, so he played 5 * 7 = 35 hours.
Step 3: Calculate the total hour... | 77 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: If the sum of two numbers is 33, and if the second number is twice the first number, what is the second number?
Answer:
| Let x be the first number. Then the second number is 2x. Since the sum of the two numbers is 33, we can write the equation: x + 2x = 33
Combine like terms: 3x = 33
Divide by 3: x = 11
Now that we have the value of x, we can find the second number: 2x = 2(11) = 22
#### 22
(Note: This problem is a classic example of a l... | Step 1: Let's represent the first number as x. According to the problem, the second number is twice the first number, so the second number can be represented as 2x.
Step 2: The sum of the two numbers is 33, so we can write the equation: x + 2x = 33
Step 3: Combine like terms: 3x = 33
Step 4: Divide both sides of the eq... | 22 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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.
Step 2: Calculate the amount of water in four jugs.
Step 3: Calculate the amount of water in two buckets.
Step 4: Calculate the final answer.
Step 5: Output the final answer on its own line as: '#### <answer>'.
Step 1: Calculate the amount of water in one jug.
The jug ... | Step 1: First, find the amount of water in one jug.
5 liters / 4 jugs = 1.25 liters per jug.
Step 2: Then, calculate the total amount of water in 2 buckets.
2 buckets * 1.25 liters per jug = 2.5 liters.
#### 2.5 | 40 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 he gets 11 pieces of ca... | Step 1: Determine the total number of pieces of candy Anna gets from the first subdivision.
Step 2: Determine the total number of pieces of candy Billy gets from the second subdivision.
Step 3: Subtract the number of pieces of candy Billy gets from the number of pieces of candy Anna gets to find out how many more piece... | Step 1: Determine the total number of candies Anna gets.
Step 2: Determine the total number of candies Billy gets.
Step 3: Subtract the number of candies Billy gets from the number of candies Anna gets.
#### 60 * 14 = 840
#### 75 * 11 = 825
#### 840 - 825 = 15
The final answer is: 15 | 15 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
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 one. Each step is 0.5 f... | Step 1: The first staircase has 20 steps. The second staircase has twice as many steps as the first. So, the second staircase has 2 x 20 = 40 steps. The third staircase has 10 fewer steps than the second one. So, the third staircase has 40 - 10 = 30 steps.
Step 2: The total number of steps is 20 + 40 + 30 = 90 step... | Step 1: Find the number of steps in the second staircase.
20 + 2(20) = 60 steps
Step 2: Find the number of steps in the third staircase.
60 - 10 = 50 steps
Step 3: Find the total number of steps climbed.
20 + 60 + 50 = 130 steps
Step 4: Convert the total number of steps to feet.
130 steps * 0.5 feet/step = 65 feet
####... | 45 |
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