prompt stringlengths 330 756 | chosen stringlengths 253 14.3k | rejected stringlengths 213 14.6k | answer stringlengths 1 6 |
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You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. ... | Step 1: Determine how many tins James collected on the second day. He collected 3 times the number collected on the first day.
3(50) = 150 tins
Step 2: Determine how many tins James collected on the third day. He collected 50 tins fewer than the second day.
150 – 50 = 100 tins
Step 3: The total number of tins collected... | Step 1: Calculate how many tins James collects on the second day.
James collects 3 times the number of tins he collected on the first day. 3 × 50 = 150
Step 2: Calculate how many tins James collects on the third day.
James collects 50 tins fewer than the number he collected on the second day. 150 – 50 = 100
Step 3: Cal... | 50 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omele... | 1. First, let's find out how many eggs Pauly has. Since there are three dozen eggs, that is 3 x 12 = 36 eggs.
2. Next, let's determine how many omelets Pauly can make. Since each omelet requires 4 eggs, the number of omelets is 36 / 4 = 9.
3. Now, let's find out how many omelets each person gets. Since there are 3 peop... | Step 1: Calculate the total number of eggs
There are three dozen eggs. Since a dozen is equal to 12, we have 3 x 12 = 36 eggs.
Step 2: Calculate the number of eggs used for Pauly
Pauly uses 4 eggs per omelet. Since he is the only person, he uses 4 x 1 = 4 eggs.
Step 3: Calculate the number of eggs left for the others... | 3 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Patricia is making a highlight film about her basketball team. She recorded video of every player and plans ... | First, let's add up the total time: 130 + 145 + 85 + 60 + 180 = 600 seconds
Next, we need to divide the total time by the number of players to find the average. There are 5 players. So we do 600 ÷ 5 = 120
Finally, we need to convert the average from seconds to minutes. There are 60 seconds in a minute. So we do 120 ÷ 6... | 1. Calculate the total time of all players: 130 + 145 + 85 + 60 + 180 = 600 seconds
2. Calculate the number of players: 5
3. Divide the total time by the number of players: 600 ÷ 5 = 120 minutes
#### 120 minutes. | 2 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coi... | 1. James buys 20 coins. The cost of each coin is $15. So, the total cost of the coins is 20 x $15 = $300.
2. The value of each coin increases by 2/3. So, the new value of each coin is $15 + (2/3)($15) = $15 + $10 = $25.
3. To recoup his original investment, James needs to sell coins worth $300. He can sell them at ... | Step 1. James buys 20 coins at $15 each, so he buys 20 × 15 = 300 dollars.
Step 2. The value of the coins increases by 2/3, so James sells 20 coins for $15 + (2/3)(300) = 15 + 200 = 215 dollars.
Step 3. To find the number of coins James sells, divide the amount he recovers ($215) by the price of each coin ($15). 21... | 12 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respect... | 1. Calculate the number of cups of small and medium lemonade sold:
$11 (small) + $24 (medium) = $35
2. Subtract the value of the small and medium lemonade from the total amount of money made: $50 (total) - $35 (small and medium) = $15
3. Now we know that the remaining value of $15 comes from selling large lemonade. Sin... | 1. Determine how much money Tonya made from small and medium lemonades.
- From small lemonades, Tonya made $11 x $1 = $11.
- From medium lemonades, Tonya made $24 x $2 = $48.
2. Subtract the amount made from small and medium lemonades from the total amount made.
- $50 - $11 - $48 = $1.
3. Determine how many cups of la... | 5 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. T... | Step 1: Calculate the number of red beans.
There are 572 beans in total, and one-fourth of them are red. To find the number of red beans, we calculate 572 divided by 4. (572 ÷ 4 = 143)
Step 2: Calculate the number of beans remaining after removing the red beans.
There are 572 beans in total, and 143 of them are red. To... | 1. First, find the total number of red beans. One-fourth of 572 is 572 x (1/4) = 143. So, there are 143 red beans.
2. Next, find the total number of beans remaining after removing the red beans. 572 - 143 = 429 beans.
3. Now, find one-third of the remaining beans. 429 x (1/3) = 143. So, there are 143 white beans.
4. Fi... | 143 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <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 ... | Step 1. Determine the amount of money Peter needs to save to reach his goal.
Step 2. Determine how many months it will take Peter to save the needed amount.
Step 3. Calculate how much money Peter needs to save each month.
Step 4. Calculate how many months it will take Peter to save the needed amount.
Step 5. Solve for ... | Step 1: Calculate the total amount Peter needs to save.
Step 2: Calculate how much more money Peter needs to save.
Step 3: Determine how many months it will take Peter to save the required amount.
Step 4: Provide the answer.
Step 1: Calculate the total amount Peter needs to save.
$5,000 (goal) + $2,900 (savings) = $7,... | 3 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did no... | Step 1: Find out how many people will run this year.
Step 2: Calculate the number of people who will run this year using the information given in step 1.
Step 3: Verify your arithmetic at each stage.
Step 4: Provide the answer in the required format.
## Step 1: Determine the number of people who ran last year.
To ... | Step 1: Calculate the number of people who ran last year. This year, there will be twice as many runners as last year, so let x be the number of runners last year. Then, 2x = 200. x = 200/2 = 100. This year, there were 100 people who ran last year. (Verify: 2x = 2 * 100 = 200, which is correct.)
Step 2: Calculate the n... | 320 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <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 ... | Step 1: First, let's find the number of deer that have 8 antlers. We know that 10% of 920 deer have 8 antlers. To find 10% of 920, multiply 920 by 0.1, or 92.
Step 2: Next, let's find the number of deer that have both 8 antlers and albino fur. We know that a quarter of the deer with 8 antlers also have albino fur. To f... | Step 1. 10% of the deer have 8 antlers. Let x be the number of deer. 10% of x is equal to 0.1x.
Step 2. 0.1x is equal to the number of deer with 8 antlers, which is 920. x = 920.
Step 3. 10% of the deer have 8 antlers. Since x = 920, 0.1(920) = 920.
Step 4. A quarter of the deer with 8 antlers also have albino fur. Let... | 23 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 s... | Step 1: Find out how many seeds Oshea will need to plant. Since each planter can hold 20 seeds, and he has 4 planters, he will need 20 x 4 = 80 seeds.
Step 2: Since Oshea has 200 seeds, he will need to plant 200 - 80 = 120 seeds in the small planters.
Step 3: Each small planter can hold 4 seeds, so to find the number o... | Step 1. Identify the total number of seeds Oshea has to plant. He bought 200 basil seeds.
Step 2. Identify how many seeds can fit in each large planter. Each large planter can hold 20 seeds.
Step 3. Calculate how many large planters Oshea will need to buy to hold all the seeds. Divide the total number of seeds by the... | 30 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the... | Step 1: Calculate the total amount of water the sprinkler system uses each day.
To do this, we must first calculate the amount of water the system uses each day. The morning water usage is four liters, and the evening water usage is six liters. So, the total water usage each day is four liters + six liters = 10 liters.... | Step 1. Identify the amount of water used each day.
The sprinkler system uses 4 liters of water each morning and 6 liters of water each evening. So, the total amount of water used each day is 4 + 6 = 10 liters.
Step 2. Determine the total amount of water used in a day.
The sprinkler system uses 10 liters each day, and ... | 5 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and... | Step 1: Wilson sleds down the 2 tall hills 4 times each, so he sleds down a total of 2 × 4 = 8 times on the tall hills.
Step 2: Wilson sleds down the 3 small hills half as often as he sleds down the tall hills. Half of 4 is 2, so he sleds down the small hills 2 times each. In total, he sleds down the small hills 2 × ... | First, let's define the variables. Let T = the number of times Wilson sleds down the tall hills, and S = the number of times he sleds down the small hills.
The first step is to define the relationships between the variables. We know that Wilson sleds down the 2 tall hills 4 times each, so we can write an equation to re... | 14 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Kwame studied for the history test for 2.5 hours. Connor studied for 1.5 hours and Lexia studied for 97 minu... | Step 1. Convert Kwame's study time from hours to minutes. Kwame studied for 2.5 hours. To convert hours to minutes, multiply by 60. 2.5 hours × 60 = 150 minutes. So Kwame studied for 150 minutes.
Step 2. Convert Connor's study time from hours to minutes. Connor studied for 1.5 hours. To convert hours to minutes, multip... | Step 1: Convert the time that Kwame studied to minutes. 2.5 hours × 60 minutes/hour = 150 minutes.
Step 2: Convert the time that Connor studied to minutes. 1.5 hours × 60 minutes/hour = 90 minutes.
Step 3: Find the difference in time between Kwame and Connor. 150 minutes - 90 minutes = 60 minutes.
Step 4: Find the diff... | 143 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <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... | Step 1: Zrinka's age is 6 years old.
Step 2: Jordyn's age is double Zrinka's age. Jordyn's age is therefore 2 x 6 = 12 years old.
Step 3: Mehki is 10 years older than Jordyn. Mehki's age is therefore 12 + 10 = 22 years old.
Step 4: Mehki is 22 years old, so we are done. Mehki is 22 years old.
#### 22
The final answer... | Step 1: Jordyn's age is double Zrinka's age. So Jordyn's age is 2 x 6 = 12.
Step 2: Mehki is 10 years older than Jordyn. So Mehki's age is Jordyn's age + 10 = 12 + 10 = 22.
Step 3: Verify that Mehki is indeed 22 years old. (22 = 12 + 10 = 12 + (2 x 6) = 12 + 12 = 24 is incorrect. 22 is not 24.)
#### 25
#### 26
#### 2... | 22 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Jane, Kyla, and Anthony have summer jobs in a resort. Their task is to fold guests' towels. Jane can fold 3 ... | First, we need to find the number of towels each person can fold per minute.
For Jane, Jane can fold 3 towels in 5 minutes, so she can fold 3 / 5 = 0.6 towels per minute. To find her rate, we need to find how many towels she can fold in an hour. Since there are 60 minutes in an hour, she can fold 0.6 x 60 = 36 towels i... | Step 1: Convert 1 hour into minutes. 1 hour = 60 minutes.
Step 2: Calculate how many towels Jane can fold in 60 minutes. Jane can fold 3 towels in 5 minutes. To find out how many towels she can fold in 60 minutes, divide 60 minutes by 5 minutes. 60 minutes / 5 minutes per towel = 12 towels.
Step 3: Calculate how many t... | 87 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Carla, Kyle, and Tasha caught 36 fish. If Kyle and Tasha caught the same number of fish and Carla caught 8, ... | 1. Let's define the number of fish that Kyle caught as x.
2. Since Kyle and Tasha caught the same number of fish, Tasha also caught x fish.
3. Carla caught 8 fish, so the total number of fish caught by Carla, Kyle, and Tasha is 36. Since Carla caught 8 fish, we can set up the equation:
x + x + 8 = 36
4. Now, we can sol... | Step 1: We know that Kyle and Tasha caught the same number of fish.
Step 2: Carla caught 8 fish.
Step 3: We can set up an equation to represent the situation. Let K be the number of fish that Kyle caught, and T be the number of fish that Tasha caught. We know that K + T = 36 (since Carla caught 8 fish) and K = 8 (si... | 14 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: A store received 20 pallets of paper products to stock. Half the pallets were paper towels, a quarter were t... | Step 1: Calculate the number of pallets of paper towels. Since half were paper towels, the store received 20/2 = 10 pallets of paper towels.
Step 2: Calculate the number of pallets of tissues. Since a quarter were tissues, the store received 20/4 = 5 pallets of tissues.
Step 3: Calculate the number of pallets of pape... | Step 1: Identify the number of pallets of paper products other than paper cups.
Half the pallets were paper towels and a quarter were tissues. Therefore, the number of pallets of paper towels is 20 x (1/2) = 10 pallets and the number of pallets of tissues is 20 x (1/4) = 5 pallets.
Step 2: Add the number of pallets of ... | 1 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Alicia has to buy some books for the new school year. She buys 2 math books, 3 art books, and 6 science book... | Step 1: Let the cost of each art book be x dollars. Alicia buys 3 art books.
Step 2: The total cost of the math books is 2 * $3 = $6.
Step 3: The total cost of the science books is 6 * $3 = $18.
Step 4: Alicia buys a total of 2 + 3 + 6 = 11 books.
Step 5: The total cost is $30, so we can set up the equation: 6 + 18 + 1... | Step 1. 2 math books + 3 art books + 6 science books = total of $30
Step 2. We can write this as 2x + 3y + 6z = 30, where x, y, and z represent the cost of each math, art, and science book, respectively.
Step 3. We can simplify the equation by dividing both sides by 2, so the equation becomes x + 3y + 6z = 15.
Step 4. ... | 2 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has... | Step 1. Determine how many points Donovan needs to average for the entire 20 game season.
Total points needed for the season = 20 games × 30 points/game = 600 points
Step 2. Determine how many points Donovan has already averaged so far.
Points averaged so far = 26 points/game × 15 games = 390 points
Step 3. Determine h... | Step 1: Calculate the total number of points Donovan has scored so far. This can be found by multiplying his average points per game by the number of games he has played: 26 x 15 = 390.
Step 2: Calculate the number of games remaining. Since the season is 20 games, subtract the number of games he has played from the tot... | 42 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: 25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he ha... | First, let's figure out how many pearls Jamie can collect in one dive. Since 25% of the oysters have pearls, the number of pearls in one dive is 0.25 x 16 = 4.
Now, let's figure out how many dives Jamie needs to collect 56 pearls. Since one dive yields 4 pearls, the number of dives needed is 56 / 4 = 14.
Therefore, Jam... | First, let's determine the total number of pearls Jamie can collect in one dive. Since 25% of the oysters collected in one dive will have pearls, we can calculate the number of pearls collected as follows:
Pearls collected per dive = (25%)(16) = (0.25)(16) = 4
Now that we know Jamie collects 4 pearls in one dive, we ... | 14 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Pauline has a garden with vegetables. In it, Pauline has planted 3 kinds of tomatoes - 5 of each kind, 5 kin... | Step 1: Calculate the total number of tomatoes.
There are 3 kinds of tomatoes and 5 of each kind. The total number of tomatoes is 3 (kinds of tomatoes) x 5 (number of tomatoes per kind) = 15 tomatoes.
Step 2: Calculate the total number of cucumbers.
There are 5 kinds of cucumbers and 4 of each kind. The total number o... | Step 1: Calculate the total number of tomatoes.
Total number of tomatoes = 5 kinds of tomatoes x 3 tomatoes per kind = 15
Step 2: Calculate the total number of cucumbers.
Total number of cucumbers = 5 kinds of cucumbers x 3 cucumbers per kind = 15
Step 3: Calculate the total number of potatoes.
Total number of potatoes... | 85 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: The grocery store sells chips for $2 per packet and corn chips for $1.5 per packet. John would like to buy 1... | 1. John wants to buy 15 packets of chips. To find the total amount of money he has, subtract the cost of the chips he doesn't want to buy from the total amount of money he has. First, let's find the total amount of money John has.
$45 - $2(15) = $45 - $30 = $15
2. John has $15. This is the amount of money he has availa... | Step 1: Calculate how many packets of chips John can buy. Chips cost $2 per packet, and John has $45, so
Step 2: Divide $45 by $2 to find the total number of packets of chips John can buy. $45 ÷ $2 = 22.5
Step 3: Since John can't buy a fraction of a packet, he can only buy 22 packets of chips.
Step 4: Calculate how man... | 10 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: A vampire drains three people a week. His best friend is a werewolf who eats five people a week, but only fr... | First, we need to figure out the number of people that the vampire and the werewolf together consume in a week. The vampire drains three people a week and the werewolf eats five people a week.
The total number of people that both the vampire and the werewolf eat in a week is 3 + 5 = 8 people.
Next, we need to determine... | Step 1. Calculate how many people are drained or eaten per week.
Step 2. Calculate how many people the werewolf eats per week.
Step 3. Determine how many weeks the village will last.
Step 4. Verify the answer.
Step 5. Provide the answer in the format: #### <answer>
Step 1. Calculate how many people are drained or eate... | 9 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Jane is dividing up minnows to be carnival prizes. She bought 600 minnows, and each prize is a bowl with 3 m... | Step 1: Calculate the number of people who will win a prize. 15% of 800 people will win a prize. To find 15% of 800, multiply 800 by 15% (or 0.15).
15% of 800 = 0.15(800) = 120 people.
Step 2: Calculate the total number of minnows that will be used as prizes. 3 minnows per prize, and 120 people will win a prize. Multip... | Step 1: Calculate the number of minnows that will be given to the winners. 15% of 600 is equal to 0.15 x 600 = 90 minnows.
Step 2: Calculate the number of minnows that will be left over after the winners are given their prizes. 600 - 90 = 510 minnows.
Step 3: Since 800 people will play the game, and 15% of them will wi... | 240 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: There are 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their cl... | Step 1: Find the total number of students. 9 boys + 12 girls = 21 students
Step 2: Divide the total number of students by the number of students per group. 21 students / 3 students per group = 7 groups.
Therefore, the teacher can form 7 groups.
#### 7 | Step 1: Determine the number of ways to select 3 boys from 9 boys. This is a combination problem, because the order of selection doesn't matter. We can calculate this using the combination formula: C(n, r) = n! / [r!(n - r)!]
Step 2: Calculate the number of ways to select 3 boys from 9 boys. C(9, 3) = 9! / [3!(9 - 3)!]... | 7 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon h... | Step 1: Kent has 40 legos.
Step 2: Bruce has 20 more than Kent, so Bruce has 40 + 20 = 60 legos.
Step 3: Simon has 20% more legos than Bruce, so Simon has 60 + 20% of 60.
Step 4: 20% of 60 is 0.20 x 60 = 12.
Step 5: Simon has 60 + 12 = 72 legos.
Therefore, Simon has 72 legos.
#### 72
#### 72
The final answer is 72. | Step 1: Determine how many legos Bruce has by using Kent's amount of legos and the 20% increase.
Let x represent the number of legos Bruce has. Since Bruce has 20 more legos than Kent, and Kent has 40, the equation becomes
x + 20 = 40
Step 2: Solve the equation to find the number of legos Bruce has.
Subtract 20 from bo... | 72 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of wa... | We know that Rebecca bought 22 items in total. We can represent the number of tent stakes as x. Since she bought 3 times as many packets of drink mix as tent stakes, the number of packets of drink mix is 3x. Since she bought 2 more bottles of water than tent stakes, the number of bottles of water is x + 2.
The total ... | Step 1: Let T = the number of tent stakes.
Step 2: Since Rebecca bought 3 times as many packets of drink mix as tent stakes, she bought 3T packets of drink mix.
Step 3: Since she bought 2 more bottles of water than tent stakes, she bought 3T + 2 bottles of water.
Step 4: The total number of items is 22. Therefore, th... | 4 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam... | Step 1: Sam has 3 German Shepherds and 4 French Bulldogs.
Step 2: Peter wants to buy 3 times as many German Shepherds as Sam has. 3 x 3 = 9.
Step 3: Peter wants to buy 2 times as many French Bulldogs as Sam has. 2 x 4 = 8.
Step 4: Peter wants to have a total of 9 + 8 = 17 dogs.
Therefore, Peter wants to have 17 dogs.
... | Step 1: Determine how many German Shepherds Peter wants.
Step 2: Determine how many French Bulldogs Peter wants.
Step 3: Multiply the number of German Shepherds by 3 and the number of French Bulldogs by 2 to find the total number of dogs Peter wants.
Step 4: Verify the arithmetic.
Step 5: Provide the answer in the requ... | 17 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Jaden had 14 toy cars. Then he bought 28 cars from the toy store and got 12 cars for his birthday. Jaden gav... | Step 1. Jaden starts with 14 toy cars.
Step 2. Jaden bought 28 more cars, so now Jaden has 14 + 28 = 42 toy cars.
Step 3. Jaden received 12 more cars, so now Jaden has 42 + 12 = 54 toy cars.
Step 4. Jaden gave 8 toy cars to his sister, so now Jaden has 54 - 8 = 46 toy cars.
Step 5. Jaden gave 3 toy cars to his friend V... | Step 1. Start with the number of toy cars Jaden had initially. Jaden had 14 toy cars.
Step 2. Calculate the total number of toy cars Jaden bought. Jaden bought 28 toy cars.
Step 3. Calculate the total number of toy cars Jaden got for his birthday. Jaden got 12 toy cars for his birthday.
Step 4. Add the number of toy... | 43 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
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 ... | First, let's convert 1/2 foot to inches. There are 12 inches in 1 foot, so there are 12 × 1/2 = 6 inches in 1/2 foot. Then, let's find out how many inches Alexander will be tall on his 12th birthday. On his 8th birthday, he was 50 inches tall. On his 12th birthday, he will be 50 + 6 × 4 = 50 + 24 = 74 inches tall. Ther... | Step 1. Alexander was 50 inches on his 8th birthday. This means that the difference between his age 8 and his age now (12) is 4 years. This can be represented as 12 - 8 = 4.
Step 2. Since he grows 1/2 a foot a year, this means that he is gaining 1/2 foot per year. We can convert 1/2 foot into inches by multiplying by 1... | 74 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Coral is reading a book that is 600 pages long. She reads half of it in the first week, and 30 percent of t... | Step 1: Coral reads half of the book in the first week. This means she reads 600 / 2 = 300 pages.
Step 2: She has 600 - 300 = 300 pages left to read after the first week. She reads 30 percent of these pages the second week. To find 30 percent of 300, we can multiply 300 by 0.30, and this gives us 90 pages.
Step 3:... | Step 1: Coral read half of the book in the first week. To find the number of pages she read, divide 600 pages by 2.
Step 2: 600 ÷ 2 = 300
Step 3: The remaining number of pages is 600 - 300 = 300 pages.
Step 4: In the second week, Coral read 30 percent of the remaining 300 pages. To find 30 percent of 300, multiply 300 ... | 210 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matth... | 1. Matthews has 60 cows.
2. Aaron has four times as many cows as Matthews, so Aaron has 4 x 60 = 240 cows.
3. Together, Aaron and Matthews have 240 + 60 = 300 cows.
4. Marovich has 30 fewer cows than Aaron and Matthews combined, so Marovich has 300 - 30 = 270 cows.
5. The three of them have 300 + 270 = 570 cows altoget... | First, Aaron has four times as many cows as Matthews, so he has 4 × 60 = 240 cows. Then, together, they have 30 more cows than Marovich, who has 60 cows. So, they have 240 + 30 = 270 cows altogether.
#### 270
Explanation: This is a classic problem that requires a step-by-step approach. Here's how to solve it:
1. Let's... | 570 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Jerry is trying to cut down on the amount of soda he drinks. Right now, he drinks 48 sodas a week. If he cut... | Step 1: We want Jerry to cut down his soda consumption in half each week. This means we need to find out how many sodas he will drink for the first week, 2 sodas, 3 sodas, 4 sodas, and 6 sodas.
Step 2: Jerry drinks 48 sodas a week. To find out how many sodas he will drink in each of the following weeks, we will multi... | Step 1: Jerry starts with 48 sodas a week.
Step 2: Next week, he cuts the number of sodas he drinks in half, so he drinks 48 ÷ 2 = 24 sodas per week.
Step 3: Next week, he cuts the number of sodas he drinks in half again, so he drinks 24 ÷ 2 = 12 sodas per week.
Step 4: Next week, he cuts the number of sodas he drinks ... | 3 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, ho... | First, we need to know how many pints of blood the vampire needs to suck per week.
7 gallons/week x 8 pints/gallon = 56 pints/week
Next, we need to know how many pints of blood the vampire needs to suck per day.
56 pints/week ÷ 7 days/week = 8 pints/day
Finally, we need to know how many people the vampire needs to suck... | Step 1: First, let's determine how many gallons of blood the vampire needs each day. Since there are 7 days in a week, and he needs 2 pints of blood per person per day, we multiply the number of people he needs to suck per day by the number of people he needs per day.
7 days per week × 2 pints per person per day = 14 ... | 4 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly... | Step 1: First, let's find how many crayons are new. One third of 120 is (1/3)(120) = 40.
Step 2: Next, let's find how many crayons are broken. 20% of 120 is (20/100)(120) = 24.
Step 3: Now, let's add the number of new crayons and the number of broken crayons. 40 + 24 = 64.
Step 4: Finally, we subtract the total ... | Step 1. Convert the percentage of broken crayons to a decimal. 20% = 0.2.
Step 2. Convert the fraction of new crayons to a decimal. 1/3 = 0.3333.
Step 3. Add the decimal values of the fractions of new and broken crayons. 0.3333 + 0.2 = 0.5333.
Step 4. Subtract the decimal value of the fraction of broken crayons from th... | 56 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls t... | 1. The first lock stalls them for 5 minutes. So the time it stalls them is 5.
2. The second lock stalls them for 3 minutes less than three times as long as the first lock. This means the second lock stalls them for 3(5) - 3 = 12 minutes.
3. When Karen tries both locks at once, it stalls the raccoons for five times as l... | Step 1: The raccoons are stalled for 5 minutes by the first lock.
Step 2: The second lock stalls them for three minutes less than three times as long as the first lock. Therefore, it stalls them for three minutes less than 3 x 5 = 15 minutes. So the second lock stalls them for 15 – 3 = 12 minutes.
Step 3: When Karen tr... | 60 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Philip is a painter. He makes 2 paintings per day. If he already has 20 paintings, how many paintings in tot... | Step 1: First, we need to find out how many paintings Philip will make in 30 days.
Step 2: Since he makes 2 paintings per day, we can multiply the number of paintings he makes per day by the number of days he will work to get the total number of paintings he will make in 30 days.
Step 3: Total paintings = 2 paintings/d... | Step 1: Determine the number of paintings Philip makes per week.
Since he makes 2 paintings per day, we multiply this by 7 (the number of days in a week): 2 x 7 = 14 paintings per week.
Step 2: Determine the number of paintings Philip will make in 30 days.
Since we know he makes 14 paintings per week, we multiply this ... | 80 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: Ivanka wrote a book that took her 3 more months than it took Woody to write a book. Woody spent 1.5 years wr... | Step 1: Find out how many months it took Woody to write his book. Since 1 year has 12 months, we can calculate the number of months in 1.5 years. 1.5 x 12 = 18 months. Therefore, it took Woody 18 months to write his book.
Step 2: We know that Ivanka took 3 more months than Woody to write her book. So, we can calcula... | Step 1: Find out how many months it took Ivanka to write her book.
Since Ivanka took 3 more months than Woody, who took 1.5 years, we need to convert Woody's time to months to make the comparison easier. Since there are 12 months in a year, we multiply 1.5 years by 12 to get 18 months. Therefore, Ivanka took 18 + 3 = 2... | 39 |
You are a mathematical expert. Solve the following problem by breaking it down into clear, logical steps. Verify your arithmetic at each stage. Finally, provide the answer in the format: #### <answer>
Question: A jug needs 40 cups of water to be full. A custodian at Truman Elementary School has to fill water jugs for ... | 1. First, we need to calculate how much water the custodian will need to fill all the jugs. The jug needs 40 cups of water to be full, and 200 students will drink 10 cups of water per day. So, we need to calculate the total amount of water that the students will drink in a day. 200 x 10 = 2000 cups of water. The custod... | Step 1: Calculate the amount of water each student needs.
The custodian needs to fill 200 students' water jugs with 10 cups of water each. To find out how many cups of water each student needs, multiply 200 students by 10 cups of water per student, and then divide by 40 cups of water per jug. This results in (200 * 10)... | 50 |
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