prompt stringlengths 211 747 | chosen stringlengths 36 17.9k | rejected stringlengths 79 19.8k | 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: Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashell... | Step 1: First, let's calculate how many seashells Mimi picked up. Since 1 dozen equals 12, then 2 dozen seashells is equal to 2 * 12 = 24 seashells.
Step 2: Let x be the number of seashells that Kyle found. Then, according to the question, Kyle found twice as many shells as Mimi. So, x = 2 * 24 = 48 seashells.
Step 3... | Step 1: Calculate the number of shells Kyle found.
Kyle found twice as many shells as Mimi. 2 * 2 = 4
Step 2: Calculate the number of shells that Leigh grabbed.
Kyle had 4 shells. Leaigh grabbed one-third of these, so 1/3 * 4 = 4/3 = 1.33. Since we can't have fractions of shells, Leaigh grabbed 2 shells.
Step 3: Ca... | 16 |
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: Calculate the total distance of the hike
The first day, Ezekiel hiked 10 kilometers of steep mountainside. The second day, he hiked half the full distance, which is 25 kilometers.
Step 2: Find out how many kilometers he covered so far
Add the distance covered in the first and second days to get the total distan... | Step 1: Convert the full hike distance into a variable
Let x = total distance.
Step 2: Write an equation
Since Ezekiel hiked 50 kilometers in total and he hiked x kilometers on the first two days, he hiked (x - 10) kilometers on the third day.
Step 3: Solve the equation
To solve for x, add 10 to both sides:
x = 50 + 10... | 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: Determine the number of tins James collected on the second day by multiplying the number of tins he collected on the first day by 3.
50 * 3 = 150
Step 2: Calculate the number of tins James collected on the third day by subtracting 50 from the number of tins he collected on the second day.
150 - 50 = 100
Step 3:... | Day 1: 50
Day 2: 150
Day 3: 100
Days 4, 5, and 6: 100
#### 150
## Step 1: Determine the total number of tins James collected on the first two days.
On the first day, James collected 50 tins. On the second day, he collected 3 times that number, which is 3 * 50 = 150 tins.
## Step 2: Calculate the number of tins James ... | 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: Determine the points for each throw
Throw 1 (bullseye): 50 points
Throw 2 (miss): 0 points
Throw 3 (half bullseye): 25 points
Step 2: Add up the points for the throws
50 + 0 + 25 = 75 points
Final answer: #### 75 | Step 1: Define variables for each throw and the points it was worth.
Let x be the score of the bullseye, and let y be the score of the third dart. Since the third dart is worth half the points of the bullseye, y = 50/2 = 25.
Step 2: Define the equation for the total score of the 3 throws.
x + y + 0 = x + 50 + 0 = x +... | 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, we need to find the total width of the splashes that TreQuan makes from 6 pebbles, 3 rocks, and 2 boulders.
Step 2: For the pebbles, there are 6 pebbles. Since a single pebble makes a splash that is 1/4 meter wide, the total width of the splashes from pebbles is 6 times 1/4 = 1.5 meters.
Step 3: For the ... | Step 1: Divide each part of the splashes by the size of its splash to find the width:
pcky = 1/4 m rock = 1/2 m boulder = 2 m
Step 2: Since TreQuan's total rock and boulder throwing is 6 + 3 + 2 = 11, the total number of rocks and boulders is 11. We can multiply the number of rocks and boulders by the width of their sp... | 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: Determine how many eggs are used in total. Since there are three dozen eggs and a dozen is 12, three dozen eggs equal 36 eggs.
Step 2: Determine how many omelets can be made in total with the eggs available. If each omelet requires 4 eggs, then 36 eggs can make x omelets, which means 36/x = 4. This simplifies... | Step 1: Calculate the total number of eggs,
3 * 12 = 36 eggs.
Step 2: Calculate the number of omelets
36 / 4 = 9 omelets.
Step 3: Calculate the number of omelets per person
9 / 3 = 3.
#### 3
Pauly wants to bake 40 pizzas and has 20 tops, 80 legs, 40 cheeses and 20 meats for the pizzas. If a pizza already has 1 sauc... | 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: Let's define variables to represent the number of blocks in each stack: $a$ for the first stack, $b$ for the second stack, $c$ for the third stack, $d$ for the fourth stack, and $e$ for the fifth stack.
Step 2: According to the problem, the first stack was 7 blocks tall. Therefore, we have $a=7$.
Step 3: The... | Step 1: Identify the number of blocks in each stack.
First stack: 7 blocks
Second stack: 3(7) = 21 blocks
Third stack: 21 – 6 = 15 blocks
Fourth stack: 15 + 10 = 25 blocks
Fifth stack: 2(21) = 42 blocks
Step 2: Calculate the total number of blocks used by adding the number of blocks in each stack.
Total blocks = First... | 55 |
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' represent the total number of books.
Step 2: Calculate 35% of x, which is the number of books intended for children. 35% of x is equal to 0.35x.
Step 3: Since 104 books are for adults, the total number of books for children and adults is equal to 104. Therefore, 0.35x + 104 = x.
Step 4: Multiply bot... | Step 1: The percentage of children's books is 35%, therefore, the number of children's books can be represented as: children_books = 0.35 × total_books.
Step 2: We already know that the number of adult books is 104.
Step 3: To find the number of books for children, plug in the values we have into the equation from step... | 160 |
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 seconds of video for all players
= 130 seconds + 145 seconds + 85 seconds + 60 seconds + 180 seconds
= 600 seconds
Step 2: Calculate the average seconds per player by dividing total seconds by the total number of players (5 players)
= 600 seconds / 5 players
= 120 seconds per player
Step 3... | Step 1: Calculate the total video time of all players by adding the time for each player.
Step 2: Divide the total video time of all players by the total number of players (5) to get the average time per player.
Step 3: Divide the total video time of the point guard (130) by 5 to get the average time per point guard (1... | 2 |
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: To find the number of roses in Lorelei's vase, we need to calculate the number of each type of rose that she picked.
Step 2: For the red roses, Lorelei picked 50% of the 12 red flowers from the first rose bush. To find 50% of the red roses, we multiply 12 by 0.5: 12 * 0.5 = 6. So, Lorelei picked 6 red roses.
... | Step 1: First, identify the number of flowers on each rose bush.
Step 2: Next, determine the number of each type of rose that Lorelei picks for her vase.
Step 3: Calculate the number of each type of rose that Lorelei picks by multiplying the number of flowers on each bush by the percentage of the flowers Lorelei pic... | 22 |
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 assign a variable to represent the time it took to finish the third part: let x = time it took to finish the third part of the assignment.
Step 2: Since Leo finished the second part in twice the time as the first part, he took 2(25) = 50 minutes to finish the second part.
Step 3: In total, Leo took 25 ... | Step 1: First, calculate how much time Leo spent on the first two parts of the assignment.
Step 2: Calculate how much time Leo spent on the entire assignment by adding the time spent on the first two parts and subtracting the time spent on the third part.
Step 3: Calculate the time spent on the third part of the assign... | 45 |
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: Calculate the additional amount Peter needs to save.
$5,000 (goal) - $2,900 (savings) = $2,100 (additional amount needed)
Step 2: Determine the number of months it will take to save the additional amount.
$2,100 / $700 (monthly savings) = 3 months
Step 3: Output the final answer.
#### 3 | Step 1: Calculate the number of months Peter needs to wait to save $5,000
Step 2: Calculate the number of months Peter needs to wait to save $700
Step 3: Find the difference between the two results
Step 4: Print the final answer
Step 5: Output the final answer on its own line as:
#### <answer>
Step 1:
$5,000 needs to ... | 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 a be the number of people who will run.
Step 2. Since there were 200 people who signed up last year, a + 40 = 200.
Step 3. Solve the equation a + 40 = 200 to get a = 200 - 40.
Step 4. So, a = 160.
Step 5. Since there are twice as many runners this year as last year, then x = 2 * a.
Step 6. x = 2 * 160 = 320... | Step 1: Define the number of runners from last year as x.
Step 2: Since 200 people signed up this year, and 40 people did not show up to run, the total number of runners this year is 200 + 40 = 240.
Step 3: Set up the equation for this year: x + 240 = 240
Step 4: Solve the equation for x: x = 240 – 240
Step 5: Perform ... | 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: Find the total number of fruits on all trees. Since each tree has 200 fruits and there are 8 trees, the total number of fruits is 200 * 8 = 1600.
Step 2: Calculate the number of fruits Dulce picked from each tree. Dulce picked 2/5 of the oranges from each tree. So, 2/5 * 200 = 80.
Step 3: Find the number of ... | #### 1128
Step 1: First, we calculate the number of oranges Dulce picked from each tree:
2/5 * 200 oranges = 80 oranges from each tree
Step 2: Since there are 8 trees, we calculate the total number of oranges picked:
80 oranges * 8 trees = 640 oranges
Step 3: To find out the total number of oranges remaining, w... | 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: Padma started with 75 cards and traded 2 or her cards for 10 of Robert's cards. Then, she traded 15 of Padma's cards for another 8 of Robert's cards.
Step 2: Calculate the total number of cards traded by Padma: 2 + 15 = 17
Step 3: Calculate the total number of cards traded by Robert: 10 + 8 = 18
Step 4: Calcula... | Let P be the number of cards Padma traded and R be the number of cards Robert traded
P + R = 2
10R + 15 = 88 + 8
10R = 102
R = 10.2
We plug R = 10.2 into P + R = 2
P + 10.2 = 2
P = -8.2
Therefore, the total number of cards traded between Padma and Robert is P + R = -8.2. Since P and R are positive, we can remove the ... | 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.
920 * 0.10 = 92
Step 2: Calculate the number of deer with both 8 antlers and albino fur.
92 * 0.25 = 23
Therefore, there are 23 albino 8-antlered deer.
#### 23 | Step 1. Calculate the number of deer with 8 antlers
10% of the deer = 0.1 * 920 = 92 deer with 8 antlers
Step 2. Calculate the number of deer with both 8 antlers and albino fur
A quarter of the deer with 8 antlers = 0.25 * 92 = 23 deer with both 8 antlers and albino fur
Step 3. Calculate the final number of albino 8-an... | 23 |
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: First, let's find the amount of boring grinding in 100 hours of gameplay. To do this, multiply 100 hours by 80% or 0.8. 100 * 0.8 = 80.
Step 2: James gets 100 hours of gameplay. 80 hours of that are boring grinding. To find the amount of enjoyable gameplay, subtract the amount of boring grinding from the t... | Step 1: Translate the problem into an equation. Let G = the hours of enjoyable gameplay. Then, the total hours of gameplay in the original game is 100% of that, which we can express as G , and the hours of enjoyment is 80% of that, which can be expressed as 0.80 G . In addition, the expansion adds 30 hours... | 50 |
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: Let x = number of large glasses Peter bought. The cost for x large glasses is $5x. Since he paid $3 for each small glass, he paid 8 * 3 = $24 in total for the small glasses.
Step 2: The total number of glasses Peter bought is x + 8.
Step 3: Since he paid $50 for the glasses in total and spent $24 on the sm... | Step 1: Let's define the variables: S = number of small glasses, L = number of large glasses
Step 2: Given: S + L + 8*3 = 50, because Peter bought 8 small glasses and paid $3 each, so the total cost of small glasses was 8*3 dollars
Step 3: S + L + 24 = 50
Step 4: S + L = 50 - 24
Step 5: S + L = 26
Step 6: The first equ... | 5 |
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 ... | First, calculate how many seeds Oshea needs to plant with the large planters: 4 planters * 20 seeds = 80 seeds.
To find out how many seeds he still needs, subtract 80 seeds from the total: 200 seeds - 80 seeds = 120 seeds.
Next, determine how many small planters he will need for 120 seeds. Divide 120 seeds by 4 seeds p... | Step 1: Calculate the total number of seeds that can be planted in the large planters.
200 seeds / 4 planters = 50 seeds per planter
Step 2: Calculate the number of seeds that Oshea will have left after using all the seeds in the large planters.
200 seeds - 50 seeds = 150 seeds
Step 3: Calculate the number of small p... | 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: Count the stamps on the first 10 pages of the album.
- Each page has 5 rows of 30 stamps
- There are 10 pages, so the total number of stamps is 10 x (5 x 30) = 10 x 150 = 1500
Step 2: Count the stamps on the rest of the pages.
- The number of pages for the rest of the album is 50 - 10 = 40 pages.
- Each of the... | Step 1: Let x be the number of pages with 50 stamps each.
Step 2: Then, the number of pages with 30 stamps each is (10)(5)=50.
Step 3: The number of pages with 50 stamps each is (10) - 50= -40.
Step 4: Stella's total stamp count is therefore 50 (pages with 30 stamps) + 50 (pages with 50 stamps) - 40 (pages with 50 ... | 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: Determine the amount of water used each day in liters.
morning_water = 4 liters
evening_water = 6 liters
total_water_used_each_day = morning_water + evening_water = 4 + 6 = 10 liters
Step 2: Determine the number of days it takes to use 50 liters of water
Step 2 (Step 1): Divide the total amount of water to be ... | Step 1: Let's use the summation notation to represent the number of days it takes for the sprinkler system to use 50 liters of water. We denote the number of days by \( d \).
Step 2: We know that the sprinkler system waters the garden twice a day. This means it waters the garden for \( 2d \) days in a week.
Step 3: 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: 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: First, let's establish what we know. The bus takes 40 minutes to get to the first station from Mr. Langsley's pickup point. This duration is independent of the time it takes to get to work, which we'll refer to as t minutes.
Step 2: Since Mr. Langsley is picked up at 6:00 a.m. and he arrives at work at 9:00 a... | Step 1: Convert the time of the bus pickup to minutes
6:00 a.m. + 40 minutes = 6:40 a.m.
Step 2: Find the time difference between the bus arrival and Mr. Langsley's arrival
The bus arrives at 6:00 a.m. and Mr. Langsley arrives at 9:00 a.m. so the time difference is 3 hours
Convert this time difference i... | 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. We know that Janessa has 4 cards in addition to the 13 that her father gave her, so that makes a total of 4 + 13 = 17 cards.
Step 2. After ordering 36 cards, Janessa has a total of 17 + 36 = 53 cards.
Step 3. Janessa ends up giving Dexter 29 cards, so now she has 53 - 29 = 24 cards.
Step 4. Janessa throws a... | Step 1: Find the total number of cards that Janessa started with.
Step 2: Find the number of cards that Janessa threw away.
Step 3: Subtract the number of cards that Janessa threw away from the total number of cards that Janessa started with.
```python
def janessa_cards():
# Start with the cards Janessa currently h... | 20 |
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: First, calculate how many times Wilson sleds down the tall hills.
2 tall hills * 4 times = 8 times
Step 2: Then, calculate how many times Wilson sleds down the small hills.
3 small hills * (1/2) * 4 times = 6 times
Final Answer: #### 14 | Let h be the number of times Wilson sleds down the tall hills and let s be the number of times Wilson sleds down the small hills.
Since Wilson sleds down the tall hills 4 times each, Wilson sleds down the small hills s = (1/2) h × 3 = 1.5 h.
Since Wilson sleds down the tall hills 4 times each, Wilson sleds down the sma... | 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:
| 1. Let x be the number of cans of cherry soda.
2. Set up the equation based on the given information: 24 = x + 2x
3. Solve for x: 3x = 24 → x = 8
4. Since x = 8, then the number of cherry sodas is 8.
#### 8 | Step 1: Let x be the number of cherry sodas.
Step 2: Since there are twice as many cans of orange pop as there are of cherry soda, let y be the number of orange pops.
Step 3: So, the total number of cans is x + y, which we know equals 24.
Step 4: Therefore, the equation is x + y = 24.
Step 5: We are asked to find ... | 8 |
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 hours to minutes.
Kwame's study in minutes = Kwame's study in hours x 60
Kwame's study in minutes = 2.5 hours x 60 = 150 minutes
Connor's study in minutes = 1.5 hours x 60 = 90 minutes
Step 2: Calculate the total minutes Kwame and Connor studied.
Kwame and Connor's study in minu... | Step 1: Convert Connor's study time into hours.
1.5 hours = 0.75 hours
Step 2: Convert Kwame and Lexia's study time into hours.
Kwame = 2.5 hours
Lexia = 97 minutes / 60 = 1.607 hours
Step 3: Calculate the total hours of study for Kwame, Connor, and Lexia.
Total = Kwame + Connor + Lexia = 2.5 + 0.75 + 1.607 = 5.417 hou... | 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: Aunt May got 365 gallons of milk this morning. She also got 380 gallons this evening. To find out how much milk she got in total, add the gallons she got this morning and this evening: 365 + 380 = 745. This is the amount of milk she got this day.
Step 2: She sold 612 gallons. To find out how many gallons she ... | Step 1: Find the milk milked today and eaten.
milk milked today = 365 + 380 = 745 gallons
Step 2: Subtract today's milk from today's milk that was eaten
745 - 612 = 133 gallons
Step 3: Subtract the leftover milk from the total milk left over
133 - 15 = 118 gallons.
#### 118 | 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: Jordyn's age is double Zrinka's age. Zrinka's age = 6 years.
Step 2: Jordyn's age = 2 x Zrinka's age = 2 x 6 = 12 years.
Step 3: Mehki's age is 10 years older than Jordyn's age. Mehki's age = Jordyn's age + 10 years = 12 + 10 years = 22 years.
#### 22
[Solution Explanation]
This problem can be solved using a s... | Let Zrinka's age be z
Jordyn's age = 2z
Mehki's age = 2(2z) = 4z
Zrinka's age = 6 years
Mehki's age = 4 * 6 = 24 years
#### 24
#### <answer> | 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.
Step 2: To find out how many half-gallons of milk are needed to bake one dozen cookies, we divide 10 by 40. Half-gallons in a dozen cookies = 10/40 = 0.25 half-gallons.
Step 3: Since we know how many half-gallons of milk are needed for one dozen cookies... | Step 1: Convert the number of dozen cookies to the number of cookies.
200 dozen cookies = 200 x 12 = 2400 cookies
Step 2: Calculate the number of gallons of milk per cookie.
10 half-gallons / 40 cookies = 0.25 half-gallons per cookie
Step 3: Calculate the total amount of milk needed for 2400 cookies.
2400 cookies x 0... | 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: Calculate the total number of passengers the train can carry.
The train has 16 cars. Since each car can carry 60 passengers, the total number of passengers the train can carry is: 16 x 60 = 960 passengers.
Step 2: Calculate the total number of passengers the 2 airplanes can carry.
The 2 airplanes can carry 366... | 1. Calculate the number of passengers a 747 can carry: 366 passengers
2. Calculate the number of passengers a single train car can carry: 60 passengers
3. Multiply the number of train cars by the number of passengers per car: 16 x 60 = 960
4. Divide the number of passengers a 747 can carry by the number of passengers p... | 228 |
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: Identify the height of the tallest tree
The height of the tallest tree is 108 feet.
## Step 2: Calculate the height of the middle-sized tree
The middle-sized tree is 6 feet less than half the height of the tallest tree. So, the height of the middle-sized tree = (108 / 2) - 6 = 54 - 6 = 48 feet.
## Step 3... | Step 1: Identify the known information.
- The tallest of the 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.
Step 2: Calculate half the height of the tallest tree.
Half of 108 feet is 54 feet.
Step 3: Calc... | 12 |
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: Calculate the number of white T-shirts purchased. Since Dave bought 3 packs of white T-shirts, multiply 3 by 6.
3 * 6 = 18 white T-shirts purchased.
Step 2: Calculate the number of blue T-shirts purchased. Since Dave bought 2 packs of blue T-shirts, multiply 2 by 4.
2 * 4 = 8 blue T-shirts purchased.
Step 3: ... | Step 1. Divide the number of packs of white T-shirts by the number of T-shirts in each pack: (3 packs) / (6 T-shirts per pack) = 0.5.
Step 2. Divide the number of packs of blue T-shirts by the number of T-shirts in each pack: (2 packs) / (4 T-shirts per pack) = 0.5.
Step 3. Multiply the two quotients by each other a... | 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:
| Let K = the number of fish Kyle caught.
Since Kyle caught the same number of fish that Tasha caught, Tasha also caught K fish.
Since Carla caught 8 fish, we can form the equation:
36 = K + K + 8
Combining like terms:
36 = 2K + 8
Subtracting 8 from both sides:
28 = 2K
Dividing both sides by 2:
K = 14
#### 14 | Step 1: We can assign variables to the number of fish that Carla, Kyle, and Tasha caught. Let's call the number of fish that each person caught "x". Since Carla caught 8, we know that x = 8.
Step 2: Since Kyle and Tasha caught the same number of fish, and they each caught x fish, then Kyle caught x = 8 fish.
Step 3: ... | 14 |
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: We need to find out Mark's current reading time in a week. Since he reads for 2 hours a day, we can find his weekly reading time by multiplying the hours he reads each day by the number of days he reads in a week.
Step 2: So, 2 hours/day * 7 days/week = 14 hours/week.
Step 3: Now, since Mark wants to increas... | Step 1: Convert hours to a different unit for Mark's increased reading time from days to hours.
Step 2: Add 2 hours to Mark's decreased time for 6 days to get his new weekly reading time
Step 3: Take the two hours from step 1, add the 4 hours from step 2, and divide by 7 to find the answer
#### 10
In a rectangular pri... | 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: Ali started with 180 seashells
Step 2: He gave away 40 seashells, so he had 180 - 40 = 140 seashells
Step 3: He gave away 30 seashells to his brothers, so he had 140 - 30 = 110 seashells
Step 4: Ali sold half of the remaining 110 seashells, so he had (110)/2 = 55 seashells left.
#### 55 | Step 1: First, let’s find out how many seashells Ali gave away in total to his friends and brothers.
Step 2: Ali gave away 40 seashells to his friends. He also gave 30 seashells to his brothers.
Step 3: Total number of seashells given away = 40 + 30 = 70 seashells
Step 4: Now, let’s find out how many seashells Ali had ... | 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 "a" dollars.
Step 2: Alicia buys 2 math books and 3 art books, and 6 science books.
Step 3: The total cost of math books is 2(3) = 6 dollars.
Step 4: The total cost of science books is 6(3) = 18 dollars.
Step 5: The total cost of all books is 30 dollars.
Step 6: Alici... | Step 1: Let's assign a variable to the price of one art book. Say, 'x' dollars.
Step 2: Now we can set up an equation based on the information: 2m + 3a + 6s = 30. Where 'm' represents the cost of math books, 'a' the cost of art books, and 's' the cost of science books. Therefore, the equation is: 2(3) + 3a + 6s = 30.
S... | 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: Count the initial number of pens. There are 9 blue pens, 21 black pens, and 6 red pens, so 9 + 21 + 6 = 36 pens.
Step 2: Subtract 4 blue pens from the initial total. 36 - 4 = 32 pens.
Step 3: Subtract 7 black pens from the new total. 32 - 7 = 25 pens.
Step 4: There are 25 pens left in the jar.
#### 25 | First, remove the blue pens. Initially, there were 9 + 21 + 6 = 36 pens. After removing 4 blue pens, there are 36 – 4 = 32 pens left.
Next, remove the black pens. Initially, there were 21 black pens. After removing 7 black pens, there are 21 – 7 = 14 pens left.
The total number of pens left is 32 + 14 = 46 pens.
#### ... | 25 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: A mother planted a 16-inch tree on her son's first birthday. On the day the tree was planted, the boy was 24 inches tall. If the tree grows twice as fast as the boy does, how tall will th... | Step 1: Since the boy grows 4 inches (24 – 20 = 4), the tree will grow 8 inches (twice 4).
Step 2: Then the boy grows 12 inches (36 – 24 = 12), so the tree will grow 24 inches.
Step 3: Thus the tree will be 40 inches tall by the time the boy is 36 inches tall.
#### 40
Note: In this solution, the variables that chan... | Step 1: First, determine how long the tree will grow. The boy is currently 24 inches tall, and the tree will grow 36-24 = 12 inches, so the tree will be 24+12 = 36 inches tall by the time the boy is 36 inches tall. Since the boy grows 1 inch every day, the tree will grow twice that, or 2 inches per day.
Step 2: Now... | 40 |
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... | Let's start by finding the total value of the coins in one machine. She has 80 quarters, which equals $24.
She has 100 dimes, which equals $10.
So the value of one machine is $24 + $10 = $34.
This means that each machine holds $34.
So the number of machines in the launderette is 90 / 34 = 2.7.
Since there must be a ... | Step 1: Let's assign the amount of money in each machine as 'x' dollars. This means 80 quarters is equal to $80. This also means 100 dimes is equal to $10.
Step 2: Then, we know that 80x = 100(10)
Step 3: Solving this equation, 80x = 1000
Step 4: x = 1000/80
Step 5: x = 12.5
Step 6: Since money can't be in fracti... | 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... | Step 1: Richard cleans his room in 22 minutes.
Step 2: Cory cleans her room 3 minutes faster than Richard, which is (22+3) = 25 minutes.
Step 3: Blake cleans his room 4 minutes faster than Cory, which is (25-4) = 21 minutes.
Step 4: Richard's cleaning time per week = 22 * 2 = 44 minutes
Step 5: Cory's cleaning time per... | Step 1: Find out how long it takes each of them to clean their rooms.
Richard can clean his room in 22 minutes, so 3x = 22 minutes. Solving for x, we get x = 7.33 minutes.
Cory takes 3 minutes more than Richard to clean her room, so 3y = 22 + 3 = 25 minutes. Solving for y, we get y = 8.33 minutes.
Blake takes 4 minut... | 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 Nathan played for. Two weeks have 14 days.
Step 2: Calculate the number of hours Nathan played. Since he played for 3 hours for 14 days, he played a total of 3 * 14 = 42 hours.
Step 3: Calculate the number of days Tobias played. Since he played for 5 hours for one week, he played fo... | Step 1: Convert the total time Nathan played into hours
Three weeks have 14 days. So he played for 3 x 14 = 42 hours.
Step 2: Calculate the number of days Tobias played
Nathan played for 2 weeks, so for Tobias he played for 1 week. So, Tobias played for 1 x 7 = 7 days.
Step 3: Convert the number of days to hours
7 da... | 77 |
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 each jug.
5 liters of water in each jug.
Step 2: Calculate the total amount of water in each bucket.
5 jugs * 4 liters of water per jug = 20 liters of water in 1 bucket.
Step 3: Calculate the amount of water in 2 buckets.
20 liters of water in 1 bucket * 2 buckets = 40 liters ... | Step 1: Understand the relationship between the jugs.
Step 2: Calculate the volume of water in one bucket.
Step 3: Calculate the total volume of water in two buckets.
Step 4: Calculate the total number of liters in two buckets.
Step 5: Output the final answer.
### Step 1: Understand the relationship between the jugs.
... | 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: First, calculate the number of pieces of candy Anna receives for visiting the first subdivision.
Step 2: Anna receives 14 pieces of candy per house. Multiply this by the number of houses in the subdivision to find the total number of pieces of candy she gets.
Step 3: Next, calculate the number of pieces of c... | First, let's calculate the number of candies in the first subdivision.
Anna gets 14 candies per house and there are 60 houses. So, Anna will get
14 * 60 = 840 pieces of candy
Next, let's calculate the number of candies in the second subdivision.
Billy gets 11 pieces of candy per house and there are 75 houses. So, Billy... | 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: Find the number of steps in the second staircase. Since it has twice as many steps as the first staircase, which has 20 steps, the second staircase has 20 × 2 = 40 steps.
Step 2: Find the number of steps in the third staircase. Since it has 10 fewer steps than the second staircase, it has 40 - 10 = 30 steps.
St... | Step 1: Multiply the number of steps in the first staircase by 2 to find the number of steps in the second staircase.
20 × 2 = 40 steps
Step 2: Subtract 10 from the number of steps in the second staircase to find the number of steps in the final staircase.
40 - 10 = 30 steps
Step 3: Multiply the number of steps in ... | 45 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: 25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls?
Answer:
| Step 1: Determine the number of oysters with pearls per dive. Since 25% of the oysters collected have pearls, then each dive will yield 16 x 0.25 = 4 oysters with pearls.
Step 2: To find the number of dives Jamie needs to collect 56 pearls, divide 56 by the number of oysters with pearls per dive. 56 / 4 = 14. Since e... | Step 1: To calculate the total number of pearls Jamie will collect, we need to set up an equation. Let's say Jamie makes n dives. Then he will collect 16n pearls.
Step 2: We are told that Jamie collects 56 pearls. Since we want to find out how many dives he needs to make, we can set up the equation: 16n = 56.
Step 3:... | 14 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: In preparation for the church fundraiser, Julia bakes one less than 5 cakes per day for 6 days. Unfortunately, every other day, Julia's brother, Clifford, sneaks into Julia's house and eat... | Step 1: Calculate the total number of cakes Julia baked.
5 cakes per day x 6 days = 30 cakes
Step 2: Calculate the total number of cakes Clifford ate.
Since every other day Clifford eats a cake, this means that he ate cakes 3 out of the 6 days that Julia baked the cakes. This means that Clifford ate cakes for 3 of t... | Day 1: 5 cakes
Day 2: 5 - 1 = 4 cakes
Day 3: 4 - 1 = 3 cakes
Day 4: 3 - 1 = 2 cakes
Day 5: 2 - 1 = 1 cake
Day 6: 1 cake
Total cakes = 5 + 4 + 3 + 2 + 1 + 1 = 15 cakes
#### 15
Note: The situation is one where Julia is trying to prepare as many cakes as possible. The "sneaky" brother of the narrator doesn't hinder the ... | 21 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: The grocery store sells chips for $2 per packet and corn chips for $1.5 per packet. John would like to buy 15 packets of chips, and with the rest of the money he has left, buy as many packe... | Step 1: First, let's determine the total amount of money John will have to buy 15 packets of chips. We can do this by adding the cost of 15 packets of chips.
$2 * 15 = $30
Step 2: Next, let's determine the total amount of money John will have to spend on corn chips.
The total amount of money John will have to spend on... | Step 1: Let x be the number of packets of corn chips John buys.
Step 2: Let y be the number of packets of chips John buys. Then y + x = 15.
Step 3: To solve for the value of x, substitute y into the first equation: x + (15 - x) = 15.
Step 4: Simplify the equation: 15 - x = 15, so -x = 0, then x = 0.
Step 5: However, si... | 10 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: James takes 5 oranges and breaks each orange into 8 pieces. He splits the pieces between 4 people. If an orange has 80 calories how many calories does each person get?
Answer:
| Step 1. James takes 5 oranges. Each orange contains 8 pieces. So the total number of pieces is 5 x 8 = 40.
Step 2. The total number of pieces is divided by the number of people. So each person gets 40 / 4 = 10 pieces.
Step 3. Since each orange has 80 calories, each piece of orange has 80 / 8 = 10 calories.
Step 4. Sinc... | Step 1: Determine how many pieces of orange are there. There are 5 oranges, each being broken into 8 pieces, so the total number of pieces is 5 * 8 = 40.
Step 2: Divide the total number of pieces by the number of people to determine the amount of orange each person will receive. There are 4 people, so each person will ... | 100 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg?
Answer:
| Step 1: Cindy was 5 years old.
Step 2: Jan was 5 + 2 = 7 years old.
Step 3: Marcia was 7 x 2 = 14 years old.
Step 4: Greg was 14 + 2 = 16 years old.
#### 16 | Step 1: Determine Jan's age.
Step 2: Determine Marcia's age.
Step 3: Determine Greg's age.
Step 4: Add up the ages of all of Cindy's sisters to determine Cindy's age.
Step 5: Subtract Cindy's age from the combined age of her sisters to determine Greg's age.
Answer:
#### 5
#### 8
#### 12
#### 2
#### 12
#### 3
Ex... | 16 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: A vampire drains three people a week. His best friend is a werewolf who eats five people a week, but only fresh ones, never drained ones. How many weeks will a village of 72 people last the... | Step 1: Let's denote the number of weeks the village of 72 people will last the vampire and the werewolf as 'x'.
Step 2: In total, three vampires + 5 werewolves = 72 people.
Step 3: Since the werewolf only eats fresh people, let's denote the number of fresh people eaten in one week by the werewolf as 'y'.
Step 4: The ... | Step 1: First, we need to find out how many people the vampire and the werewolf drain per week. Let's denote the number of people the vampire drains per week as V and the number of people the werewolf eats per week as W.
Step 2: The vampire drains three people a week, so V = 3. The werewolf eats five people a week, s... | 9 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: It takes Omar 12 minutes to raise his kite 240 feet into the air. Jasper can raise his kite at three times the rate of speed as Omar can raise his kite. If Jasper raises his kite to a heigh... | Step 1: Find the rate of Omar's kite-raising speed (feet per minute).
Step 2: Find the rate of Jasper's kite-raising speed (feet per minute). Find the rate at which Omar raised his kite by dividing the height the kite was raised by the time it took him. Find the time it took Jasper to raise his kite by dividing the... | Step 1: Set up the rates for Omar and Jasper, which are Omar's rate = height/12 and Jasper's rate = Omar's rate * 3, or 3* (height/12).
Step 2: First we need to convert the heights to minutes, since Omar takes 12 minutes to go up 240 feet. Convert the height from feet to minutes by dividing by 60: 600 / 60 = 10 minutes... | 10 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Jane is dividing up minnows to be carnival prizes. She bought 600 minnows, and each prize is a bowl with 3 minnows. If 800 people are going to play the game and 15% win a prize, how many mi... | Step 1: Find the number of people that will win the prize. Multiply the total number of people by the percentage of people that will win the prize.
15% * 800 people = 0.15 * 800 people = 120 people
Step 2: Find the number of minnows needed for the prizes. Multiply the number of people that will win the prize by the num... | Step 1: Determine the number of winners.
15% of 800 = 0.15 * 800 = 120
Step 2: Calculate the total number of prizes.
120 * 3 = 360
Step 3: Calculate the total number of minnows used.
360 * 3 = 1080
Step 4: Calculate the number of minnows left over.
600 - 1080 = -420
This is not possible because you can't have a ne... | 240 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Tony drinks 72 ounces of water per day. He decides that to stop wasting plastic, he will buy a reusable metal bottle. If he buys an 84-ounce water bottle, how many times will he fill it eac... | Step 1: Calculate the number of days in a week. The days in a week are 7.
Step 2: Calculate the number of ounces Tony will drink each day. The number of ounces he drinks per day is 72. Therefore, the number of ounces he will drink per week is 72 × 7 = 504 ounces.
Step 3: Calculate how many times the bottle needs to be ... | Step 1: Tony drinks 72 ounces per day. There are 7 days in a week, so we need to multiply 72 by 7:
72 * 7 = 504
Step 2: The total amount of plastic he will not use is 504 ounces - 84 ounces = 420 ounces
Step 3: To determine how many times he will fill the bottle, we need to divide the amount of plastic he will not use ... | 6 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Stan hires a magician for $60 an hour. He works 3 hours every day for 2 weeks. How much money does he pay the magician?
Answer:
| Step 1: Calculate the number of days in 2 weeks. There are 7 days in a week. 2 weeks = 2 * 7 = 14 days.
Step 2: Calculate the amount of money Stan pays the magician each day. 60 dollars/hour * 3 hours/day = 180 dollars/day.
Step 3: Multiply the amount of money Stan pays the magician each day by the number of days in 2 ... | Step 1: First, let's figure out how many hours Stan works in 2 weeks. Since Stan works 3 hours a day, 7 days a week, then 2 weeks = 14 days.
Step 2: Now, 14 days / 7 days a week = 2 weeks = 14 weeks.
Step 3: Stan hires the magician for 14 weeks.
Step 4: The magician is paid $60 an hour. To find out how much he is... | 2520 |
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 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their class activity. How many groups are formed?
Answer:
| Step 1: Determine the total number of students. total_students = boys + girls = 9 + 12 = 21
Step 2: Calculate the number of groups formed by dividing the total number of students by the number of students in each group and rounding down to the nearest whole number. This is because you can't have a fraction of a group. ... | 9 + 12 = 21
21 ÷ 3 = 7
#### 21
You can easily prove that 21 is divisible by 3 and is the number of possible groups, which is the answer . | 7 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road?
Answer:
| Step 1: Convert the length of Pardee Road from meters to kilometers.
To convert meters to kilometers, we divide the length in meters by 1000, since there are 1000 meters in a kilometer. 12000 meters is equivalent to 12 kilometers.
Step 2: Find the difference in length between Telegraph Road and Pardee Road.
To find th... | Step 1: Convert the length of Pardee Road from meters to kilometers
Pardee Road is 12000 meters long
Step 2: Convert the length of Telegraph Road from meters to kilometers
Telegraph Road is 162 kilometers long
Step 3: Subtract the length of Pardee Road from the length of Telegraph Road to find the difference
162 km - 1... | 150 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Layla is training for a bicycle race. She rode her bicycle slowly to the high school, rode four miles around the running track at her faster, race pace, and then rode back home, slowly, on ... | Step 1: To solve this problem, we must set up an equation.
Step 2: We know that Layla's total distance was 10 miles. Let's denote the distance from Layla's house to the high school as 'x' miles.
Step 3: Since Layla rode 4 miles around the running track, we can calculate the distance from the high school to the point... | Step 1: Let's assume that the route from Layla's house to the high school is y miles.
Step 2: Layla rode 4 miles around the running track, so the distance she rode is y - 4.
Step 3: The total distance is 10 miles, so we can write the equation y + (y - 4) = 10 and solve it.
Step 4: Let's combine like terms and simplify ... | 3 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also b... | Step 1: Let S be the number of tent stakes, M be the number of packets of drink mix, and W be the number of bottles of water.
Step 2: Since Rebecca bought 3 times as many packets of drink mix as tent stakes, M = 3S
Step 3: Since Rebecca bought 2 more bottles of water than she did tent stakes, W = S + 2
S... | Step 1: Let's assume the number of tent stakes is \(T\) and the number of packets of drink mix is \(D\).
Step 2: According to the problem, Rebecca bought 22 items in total, so the equation \(T + D + 2 = 22\) can be formed.
Step 3: It is also given that Rebecca bought 3 times as many packets of drink mix as tent stak... | 4 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How many dogs does Peter wan... | Step 1: Let P be the number of German Shepherds Peter wants to buy.
Step 2: Since Peter wants to buy 3 times as many German Shepherds as Sam has, and Sam has 3 German Shepherds, Peter will want 3P German Shepherds.
Step 3: Since Peter wants to buy 2 times as many French Bulldogs as Sam has, and Sam has 4 French Bulldog... | Step 1: Find the number of German Shepherds Sam has
Sam has 3 German Shepherds
Step 2: Find the number of French Bulldogs Sam has
Sam has 4 French Bulldogs
Step 3: Find 3 times the number of German Shepherds Sam has
3 * 3 German Shepherds = 9 German Shepherds
Step 4: Find 2 times the number of French Bulldogs Sam ha... | 17 |
You are a careful reasoner. Solve step-by-step. At the end, output the final answer on its own line as: '#### <answer>'
Question: Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end?
Answer:
| Step 1: Calculate the number of pregnant fish in all 3 tanks:
3 tanks * 4 pregnant fish/tank = 12 pregnant fish
Step 2: Calculate the number of young fish by multiplying the number of pregnant fish by the number of young fish each fish gives birth to:
12 pregnant fish * 20 young fish/pregnant fish = 240 young fish
Th... | Step 1: Calculate the number of pregnant fish per tank.
Step 2: Multiply the number of pregnant fish per tank by the total number of tanks. Step 3: Calculate the total number of young fish.
Step 1: Calculate the number of pregnant fish per tank.
3 tanks * 4 pregnant fish per tank = 12 pregnant fish per tank.
Ste... | 240 |
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