question stringlengths 201 1.14k | answer stringlengths 167 1.02k | reward float64 0 1 |
|---|---|---|
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tom charges a fee of $100 a day to search for an item for the first 5 days and then $60 per day for every day after that. How much did it cost for him to look for an item for 10 days? Let's think step by step and output the final answer a... | Let's break this down step by step:
1. For the first 5 days, the fee is $100 per day.
So, the cost for the first 5 days is \(5 \times 100 = 500\) dollars.
2. For the remaining 5 days (10 - 5 = 5 days), the fee is $60 per day.
So, the cost for the remaining 5 days is \(5 \times 60 = 300\) dollars.
3. The total ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John sends his son to prep school. It cost $20,000 per semester. There are 2 semesters in the year. How much does it cost to send the kid to 13 years of school? Let's think step by step and output the final answer after "####".
assistan... | Let's break this down step by step:
1. Calculate the total cost for one year of school:
$20,000 per semester * 2 semesters = $40,000 per year
2. Calculate the total cost for 13 years of school:
$40,000 per year * 13 years = $520,000
#### Final Answer:
#### 520000 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Wanda weighs 30 pounds more than Yola currently. Wanda also weighs 80 pounds more than Yola did 2 years ago. How much did Yola weigh 2 years ago if she currently weighs 220 pounds? Let's think step by step and output the final answer after... | Let's break this down step by step:
1. Let Yola's current weight be \( Y \) pounds.
2. Wanda's current weight is \( Y + 30 \) pounds.
3. Wanda's weight 2 years ago was \( Y - 2 \) pounds.
4. According to the problem, Wanda's current weight is 80 pounds more than Yola's weight 2 years ago. So, we can write the equation... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
If a basket is capable of holding 40 fruit altogether, and there are 3 times as many apples as oranges, how many oranges are there? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Let the number of oranges be \( o \).
2. According to the problem, the number of apples is 3 times the number of oranges, so the number of apples is \( 3o \).
3. The total number of fruits is 40, so we can write the equation: \( o + 3o = 40 \).
4. Simplify the equation: \( 4o = 4... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Rachel drinks 2 glasses of water on Sunday and 4 glasses of water on Monday. Then she drinks 3 glasses of water every day for the next 4 days. One glass of water is 10 ounces of water. If Rachel wants to drink a total of 220 ounces of wate... | Let's break this down step by step:
1. Total water consumption for the first 2 days:
2 glasses/day * 2 days = 4 glasses
2. Total water consumption for the next 4 days:
4 glasses/day * 4 days = 16 glasses
3. Total water consumption for the week:
4 glasses + 16 glasses = 20 glasses
4. Rachel wants to drink a... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets p... | Let's break this down step by step:
1. Calculate the total weight of the cans Jenny collects:
20 cans * 2 ounces/can = 40 ounces
2. Determine how many bottles Jenny can carry:
100 ounces - 40 ounces = 60 ounces
60 ounces / 6 ounces/bottle = 10 bottles
3. Calculate the total money Jenny makes:
10 bottles ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ms. Mitsuko told the class that if the average score on their quiz is higher than 75% then they will get a pizza party. There are 25 students in the class. One student is absent and has to take the test the next day. The average score of t... | Let's break this down step by step:
1. Calculate the total score of the 24 students who took the test:
\( 24 \times 77 = 1848 \)
2. Determine the total score of the 25 students in the class:
\( 25 \times 75 = 1875 \)
3. Find the difference between the total score of the 25 students and the total score of the 2... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A clothing store sells 20 shirts and 10 pairs of jeans. A shirt costs $10 each and a pair of jeans costs twice as much. How much will the clothing store earn if all shirts and jeans are sold? Let's think step by step and output the final a... | Let's break this down step by step:
1. Calculate the total earnings from selling shirts:
- Number of shirts = 20
- Price of each shirt = $10
- Total earnings from shirts = 20 * $10 = $200
2. Calculate the total earnings from selling jeans:
- Number of jeans = 10
- Price of each pair of jeans = 2 * $10 ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
240 sixth-grade students were asked about the number of novels they read per month. 1/6 of students read three or more novels, 35% of students read two novels, 5/12 of students read one novel, and the rest of the students do not read anyth... | Let's break this down step by step:
1. Total number of students = 240
2. Number of students who read three or more novels = 1/6 * 240 = 40
3. Number of students who read two novels = 35% of 240 = 0.35 * 240 = 84
4. Number of students who read one novel = 5/12 * 240 = 100
5. Total number of students who read novels... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Chris is trying to sell his car for $5200 and has gotten two price offers. One buyer offered to pay the full price if Chris would pay for the car maintenance inspection, which cost a tenth of Chris’s asking price. The other buyer agreed to... | Let's break this down step by step:
1. First, calculate the cost of the car maintenance inspection:
The inspection costs a tenth of Chris's asking price.
$5200 / 10 = $520
2. Next, calculate the cost of replacing the headlights:
The headlights cost $80
3. Then, calculate the cost of replacing the tires:
... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ivan had $10 and spent 1/5 of it on cupcakes. He then spent some money on a milkshake and had only $3 left. How much is the milkshake? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Ivan started with $10.
2. He spent 1/5 of it on cupcakes, which is $10 * 1/5 = $2.
3. After buying cupcakes, he had $10 - $2 = $8 left.
4. He had $3 left after buying the milkshake.
5. The milkshake cost $8 - $3 = $5.
So, the milkshake cost $5.
#### Final Answer:
#### 5 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Stacy just bought a 6 month prescription of flea & tick medicine for her dog for $150.00 online. Her cashback app was offering 10% cashback and she has a mail-in rebate for $25.00 on a 6-month prescription. How much will the medicine cos... | Let's break this down step by step:
1. Subtract the cashback from the original price:
$150.00 - (10% of $150.00) = $150.00 - ($150.00 * 0.10) = $150.00 - $15.00 = $135.00
2. Subtract the mail-in rebate:
$135.00 - $25.00 = $110.00
So, the final cost of the medicine after cash back and rebate offers is:
#### 110... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tim takes his 3 children trick or treating. They are out for 4 hours. Each hour they visited 5 houses. Each house gives 3 treats per kid. How many treats do his children get in total? Let's think step by step and output the final answe... | Let's break this down step by step:
1. Tim has 3 children.
2. They trick or treated for 4 hours.
3. Each hour they visited 5 houses.
4. Each house gives 3 treats per kid.
First, calculate the total number of houses they visited:
\[ 4 \text{ hours} \times 5 \text{ houses/hour} = 20 \text{ houses} \]
Next, calculate t... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Peter has four horses. Each one eats 4 pounds of oats, twice a day, and 3 pounds of grain once a day. How many pounds of food does he need to feed his horses for 3 days? Let's think step by step and output the final answer after "####".
as... | Let's break this down step by step:
1. Calculate the total amount of oats eaten by all horses in one day:
- Each horse eats 4 pounds of oats twice a day.
- So, each horse eats 4 * 2 = 8 pounds of oats per day.
- With 4 horses, the total oats eaten per day is 8 * 4 = 32 pounds.
2. Calculate the total amount o... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
James can do a farmer's walk with 300 pounds per hand for 20 meters. He can lift 30% more if he only goes 10 meters. In addition, lifting straps give him another 20%. How much can he move with lifting straps for 10 meters if he increase... | Let's break this down step by step:
1. James can do a farmer's walk with 300 pounds per hand for 20 meters.
2. For 10 meters, he can lift 30% more, so he can lift \(300 \times 1.3 = 390\) pounds per hand.
3. With lifting straps, he can lift 20% more, so he can lift \(390 \times 1.2 = 468\) pounds per hand.
4. In total... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Simon, Gerry, and Micky want to have a race with handmade miniature rafts. Simon's raft needs 36 sticks, Gerry's raft needs two-thirds of the number of sticks that Simon needs, and Micky's raft needs 9 sticks more than Simon and Gerry's ra... | Let's break this down step by step:
1. Simon's raft needs 36 sticks.
2. Gerry's raft needs two-thirds of the number of sticks that Simon needs, so Gerry's raft needs \( \frac{2}{3} \times 36 = 24 \) sticks.
3. Micky's raft needs 9 sticks more than the combined number of sticks Simon and Gerry need, so Micky's raft nee... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Annie plants 3 pots of basil, 9 pots of rosemary, and 6 pots of thyme. Each basil plant has 4 leaves, each rosemary plant has 18 leaves, and each thyme plant has 30 leaves. How many leaves are there total? Let's think step by step and outp... | Let's break this down step by step:
1. Calculate the total number of leaves from basil plants:
3 pots * 4 leaves/pot = 12 leaves
2. Calculate the total number of leaves from rosemary plants:
9 pots * 18 leaves/pot = 162 leaves
3. Calculate the total number of leaves from thyme plants:
6 pots * 30 leaves/pot... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Harold had 100 marbles. He kept 20 marbles and shared the rest evenly among his 5 friends. How many marbles did each friend get? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Harold started with 100 marbles.
2. He kept 20 marbles for himself, so he gave away \(100 - 20 = 80\) marbles.
3. The 80 marbles were shared evenly among his 5 friends.
4. To find out how many marbles each friend got, we divide 80 by 5: \(80 \div 5 = 16\).
So, each friend got 16... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
At least a third of Fred's marbles are dark blue. All of the rest are red, except for 4 that are green. If he has 63 marbles, how many of them are red? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Let the total number of Fred's marbles be \( x \).
2. According to the problem, \( \frac{1}{3}x \) are dark blue.
3. The rest are red, so the number of red marbles is \( x - \frac{1}{3}x = \frac{2}{3}x \).
4. We know that 4 marbles are green, so the number of red marbles is also ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
During the hot dog eating contest, the 1st competitor ate 12 hot dogs in 3 minutes. The 2nd competitor ate twice that amount and the 3rd competitor ate 25% less than the 2nd competitor. How many hotdogs did the 3rd competitor eat? Let's ... | Let's break this down step by step:
1. The 1st competitor ate 12 hot dogs in 3 minutes.
2. The 2nd competitor ate twice that amount, so the 2nd competitor ate \(12 \times 2 = 24\) hot dogs.
3. The 3rd competitor ate 25% less than the 2nd competitor. To find out how much less, we calculate 25% of 24:
\(24 \times 0.2... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
In Sam's first 100 matches he won 50% of matches. In his next 100 games, he won 60% of matches. How many total matches did he win? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. In the first 100 matches, Sam won 50% of them.
50% of 100 = 0.5 * 100 = 50 matches.
2. In the next 100 matches, Sam won 60% of them.
60% of 100 = 0.6 * 100 = 60 matches.
3. Total matches won:
50 (first 100 matches) + 60 (next 100 matches) = 110 matches.
#### Final Ans... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Hazel and Razel are twins who share everything they receive. If Hazel received 6 shirts, while Razel received twice the number of shirts as Hazel. How many shirts do they have in total? Let's think step by step and output the final answer ... | Let's break this down step by step:
1. Hazel received 6 shirts.
2. Razel received twice the number of shirts as Hazel, so Razel received \( 6 \times 2 = 12 \) shirts.
3. Together, they received \( 6 + 12 = 18 \) shirts.
#### Final Answer:
#### 18 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Nina enjoys keeping insects as pets. She has 3 spiders and 50 ants. Each spider has 8 eyes. Each ant has 2 eyes. How many eyes are there in total among Nina’s pet insects? Let's think step by step and output the final answer after "####".
... | Let's break this down step by step:
1. Calculate the total number of eyes from the spiders:
- Nina has 3 spiders.
- Each spider has 8 eyes.
- Total eyes from spiders = 3 × 8 = 24 eyes.
2. Calculate the total number of eyes from the ants:
- Nina has 50 ants.
- Each ant has 2 eyes.
- Total eyes from a... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tommy's mother lets him ride his bike 2 blocks north of his block, 3 blocks east, 2 blocks west, and 2 blocks south. His friend's father lets his friend ride his bike 80 square blocks. How many times greater is the area his friend can ride... | Let's break this down step by step:
1. Determine the total area Tommy can ride in:
- 2 blocks north
- 3 blocks east
- 2 blocks west
- 2 blocks south
Total area = 2 + 3 + 2 + 2 = 9 blocks
2. Determine the area that Tommy's friend can ride in:
- The problem states that his friend can ride his bike 80 ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Seth and his brother want to see their favorite band in concert. The tickets are $50.00 each. There is a 15% processing fee for the tickets. They are also charged $10.00 for parking and an additional $5.00 per person entrance fee. How ... | Let's break this down step by step:
1. Calculate the total cost of the tickets:
- Each ticket costs $50.00
- There are 2 tickets
- Total cost of tickets = $50.00 × 2 = $100.00
2. Calculate the processing fee:
- Processing fee is 15% of the total ticket cost
- Processing fee = $100.00 × 0.15 = $15.00
3... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jezebel needs to buy two dozens of red roses and 3 pieces of sunflowers for a bouquet that she is going to arrange. Each red rose costs $1.50 and each sunflower costs $3. How much will Jezebel pay for all those flowers? Let's think step by... | Let's break this down step by step:
1. Calculate the cost of the red roses:
2 dozens = 2 * 12 = 24 roses
Cost of roses = 24 * $1.50 = $36
2. Calculate the cost of the sunflowers:
3 sunflowers
Cost of sunflowers = 3 * $3 = $9
3. Calculate the total cost:
Total cost = Cost of roses + Cost of sunflowers
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jerry has an interesting novel he borrowed from a friend to read over the weekend. The book has 93 pages. On Saturday, he reads 30 pages. On Sunday, he goes to church and comes back, sits down, and reads 20 pages of the book. How many page... | Let's break this down step by step:
1. The total number of pages in the book is 93.
2. On Saturday, Jerry reads 30 pages.
3. On Sunday, Jerry reads 20 pages.
4. The total number of pages read so far is 30 + 20 = 50 pages.
5. The number of pages remaining is 93 - 50 = 43 pages.
#### Final Answer:
#### 43 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A gecko lays 30 eggs per year. 20 percent of them are infertile, and a third of the remaining eggs will not hatch due to calcification issues. How many eggs actually hatch? Let's think step by step and output the final answer after "####"... | Let's break this down step by step:
1. Total number of eggs laid per year: 30
2. Number of infertile eggs: 20% of 30 = 0.20 * 30 = 6
3. Number of eggs remaining after infertile ones: 30 - 6 = 24
4. Number of eggs that will not hatch due to calcification issues: 1/3 of 24 = 24 / 3 = 8
5. Number of eggs that actually ha... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tye goes to two different banks and withdraws $300 from each bank. If he got it all in 20 dollar bills how many bills did he get? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Tye withdraws $300 from each of the 2 banks.
2. So, the total amount withdrawn is $300 + $300 = $600.
3. This $600 is in 20 dollar bills.
4. To find out how many 20 dollar bills there are, we divide $600 by $20:
$$ 600 \div 20 = 30 $$
Tye got 30 bills.
#### Final Answer:
###... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A town has ten neighborhoods, each having four roads passing through them. Each of the roads has 250 street lights on each opposite side. Calculate the total number of street lights on all the roads of the neighborhoods in the town. Let's ... | Let's break this down step by step:
1. First, calculate the total number of roads in the town:
- There are 10 neighborhoods.
- Each neighborhood has 4 roads.
- So, the total number of roads is \(10 \times 4 = 40\) roads.
2. Next, calculate the total number of street lights:
- Each road has 250 street ligh... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
James hurt himself exercising. The pain subsided after 3 days, but he knew that the injury would take at least 5 times that long to fully heal. After that, he wanted to wait another 3 days before he started working out again. If he wants... | Let's break this down step by step:
1. The pain subsided after 3 days.
2. The injury takes at least 5 times that long to fully heal, so it takes 3 * 5 = 15 days to fully heal.
3. After the healing period, he wants to wait another 3 days before starting to work out again.
4. He wants to wait 3 weeks (21 days) after tha... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Edith is a receptionist at a local office and is organizing files into cabinets. She had 60 files and finished organizing half of them this morning. She has another 15 files to organize in the afternoon and the rest of the files are missin... | Let's break this down step by step:
1. Edith started with 60 files.
2. She finished organizing half of them this morning, so she organized \(60 / 2 = 30\) files.
3. She has another 15 files to organize in the afternoon.
4. The total number of files she has organized so far is \(30 + 15 = 45\) files.
5. The number of m... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Miranda is stuffing feather pillows. She needs two pounds of feathers for each pillow. A pound of goose feathers is approximately 300 feathers. Her goose has approximately 3600 feathers. How many pillows can she stuff after she plucks the ... | Let's break this down step by step:
1. Determine how many pounds of feathers Miranda needs for 3600 feathers.
2 pounds of feathers = 3600 feathers
1 pound of feathers = 3600 / 2 = 1800 feathers
2. Calculate how many pillows Miranda can stuff with 1800 feathers.
1800 feathers / 2 pounds = 900 pounds
3. Deter... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The tallest building in the world is 100 feet tall. If the second tallest is half that tall, and the third tallest is half as tall as the second, and the fourth is one-fifth as tall as the third, how tall are all 4 buildings put together?... | Let's break this down step by step:
1. The tallest building is 100 feet tall.
2. The second tallest building is half the height of the tallest building.
So, 100 feet / 2 = 50 feet.
3. The third tallest building is half the height of the second tallest building.
So, 50 feet / 2 = 25 feet.
4. The fourth tallest bu... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A bulk warehouse is offering 48 cans of sparkling water for $12.00 a case. The local grocery store is offering the same sparkling water for $6.00 and it only has 12 cans. How much more expensive, per can, in cents, is this deal at the gr... | Let's break this down step by step:
1. Calculate the cost per can at the bulk warehouse:
$12.00 / 48 cans = $0.25 per can
2. Calculate the cost per can at the local grocery store:
$6.00 / 12 cans = $0.50 per can
3. Find the difference in cost per can between the two stores:
$0.50 - $0.25 = $0.25 per can
4.... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Reyna had 20 lamps with seven light bulbs in each lamp. If 1/4 of them have 2 burnt-out light bulbs each, how many light bulbs are working? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of lamps:
20 lamps * 7 light bulbs per lamp = 140 light bulbs
2. Determine the number of lamps with 2 burnt-out light bulbs:
1/4 * 140 = 35 lamps
3. Calculate the total number of burnt-out light bulbs:
35 lamps * 2 burnt-out light bulbs per l... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
On a tough week, Haji's mother sells goods worth $800, which is half the amount she sells on a good week. What's the total amount of money she makes if she has 5 good weeks and 3 tough weeks? Let's think step by step and output the final a... | Let's break this down step by step:
1. Determine the amount sold on a good week:
- The amount sold on a good week is $800.
- On a tough week, it is half of that, so it is $800 / 2 = $400.
2. Calculate the total amount sold in 5 good weeks:
- 5 good weeks * $800 per good week = $4000.
3. Calculate the total ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Janet buys 3 pounds of broccoli for $4 a pound, 3 oranges for $0.75 each, a cabbage for $3.75, a pound of bacon for $3, and two pounds of chicken for $3 a pound. What percentage of her grocery budget did she spend on meat, rounded to the n... | Let's break this down step by step:
1. Calculate the total cost of each item:
- Broccoli: 3 pounds * $4/pound = $12
- Oranges: 3 oranges * $0.75/orange = $2.25
- Cabbage: $3.75
- Bacon: $3
- Chicken: 2 pounds * $3/pound = $6
2. Calculate the total grocery cost:
$12 + $2.25 + $3.75 + $3 + $6 = $27
3... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Cappuccinos cost $2, iced teas cost $3, cafe lattes cost $1.5 and espressos cost $1 each. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and two espressos. How much chan... | Let's break this down step by step:
1. Calculate the total cost of the drinks:
- Cost of cappuccinos: 3 * $2 = $6
- Cost of iced teas: 2 * $3 = $6
- Cost of cafe lattes: 2 * $1.5 = $3
- Cost of espressos: 2 * $1 = $2
- Total cost: $6 + $6 + $3 + $2 = $17
2. Calculate the change:
- Sandy paid with a ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Z... | Let's break this down step by step:
1. Calculate the area of one triangular house:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 40 \times 20 = 400 \text{ square centimeters}
\]
2. Since Zion and his two friends made three triangular houses, the total area is:
\... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A car traveled 360 miles in 4 hours and 30 minutes. What was its speed in miles per hour? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to convert the time from hours and minutes to just hours. 4 hours and 30 minutes is equal to 4.5 hours.
2. Next, we use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Here, the distance is 360 miles and the time is 4.5 ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additiona... | Let's break this down step by step:
1. Calculate the total number of people going on the field trip:
- 35 children
- 5 volunteer chaperones
- Janet herself
- 3 additional sack lunches
Total = 35 + 5 + 1 + 3 = 44 people
2. Calculate the total cost of the sack lunches:
Each sack lunch costs $7
Tota... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tim drinks 2 bottles that are each 1.5 quarts and an additional 20 ounces a day. How much water does he drink a week? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total amount of water Tim drinks in quarts:
- He drinks 2 bottles, each 1.5 quarts.
- Total quarts = 2 * 1.5 = 3 quarts.
2. Add the additional 20 ounces to the total:
- 20 ounces = 0.2 quarts (since 1 quart = 32 ounces).
- Total quarts = 3 + 0.2 = 3.2 q... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Holly loves to drink chocolate milk. With breakfast, she drinks 8 ounces of chocolate milk before leaving for work. During her lunch break, she buys a new 64-ounce container of chocolate milk and then drinks 8 ounces of it. With dinner,... | Let's break this down step by step:
1. Holly drinks 8 ounces of chocolate milk before breakfast.
2. She buys a new 64-ounce container during her lunch break, so she adds 64 - 8 = 56 ounces to her milk.
3. She drinks 8 ounces of chocolate milk during her lunch break.
4. She drinks another 8 ounces of chocolate milk wit... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ross takes 17 breaths per minute by inhaling 5/9 liter of air to his lungs. What is the volume of air inhaled in 24 hours? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of breaths in 24 hours.
- There are 60 minutes in an hour.
- So, in 24 hours, there are \(24 \times 60 = 1440\) minutes.
- Ross takes 17 breaths per minute.
- Therefore, the total number of breaths in 24 hours is \(17 \times 1440 = 24480\) b... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
If Patty's dress was $10 more than Ida's dress, and Ida's dress was $30 more than Jean's dress, and Jean's dress was $10 less than Pauline's dress, and lastly Pauline's dress was $30, how much did all the ladies spend on dressed put togeth... | Let's break this down step by step:
1. Pauline's dress cost $30.
2. Jean's dress cost $10 less than Pauline's, so Jean's dress cost $30 - $10 = $20.
3. Ida's dress cost $30 more than Jean's, so Ida's dress cost $20 + $30 = $50.
4. Patty's dress cost $10 more than Ida's, so Patty's dress cost $50 + $10 = $60.
Now, let... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John buys a chair. He then buys a table that is 3 times the price of the chair. Then, he buys a couch that is 5 times the price of the table. If John paid $380 for all these items, what is the price of the couch? Let's think step by step a... | Let's break this down step by step:
1. Let the price of the chair be \( x \).
2. The price of the table is \( 3x \).
3. The price of the couch is \( 5 \times 3x = 15x \).
4. The total price is the sum of the prices of the chair, table, and couch, which is \( x + 3x + 15x = 19x \).
5. We know the total price is $380, s... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
On a particular day, a car traveled from Ningi to Zipra in 80% of the time it traveled from Ngapara to Zipra. If the car took 60 hours to travel from Ngapara to Zipra, calculate the total time the car traveled that day. Let's think step by... | Let's break this down step by step:
1. Let the time taken to travel from Ningi to Zipra be \( T \) hours.
2. According to the problem, the car traveled from Ningi to Zipra in 80% of the time it traveled from Ngapara to Zipra. So, the time taken to travel from Ngapara to Zipra is \( 0.2T \) hours.
3. The total time tak... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Robert, a sales agent, earns a basic salary of $1250 per month and, 10% commission on his monthly sales. Last month, his total sales were $23600. He allocated 20% of his total earnings to savings and the rest of the money to his monthly e... | Let's break this down step by step:
1. Calculate Robert's commission:
Commission = 10% of $23600 = 0.10 * 23600 = $2360
2. Calculate Robert's total earnings:
Total earnings = Basic salary + Commission = 1250 + 2360 = $3610
3. Calculate the amount allocated to savings:
Savings = 20% of $3610 = 0.20 * 3610 = ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jefferson hires a carriage to go to the church. It is 20 miles away. The horse can go 10 miles per hour. It cost $30 per hour plus a flat fee of $20. How much did he pay for the carriage? Let's think step by step and output the final a... | Let's break this down step by step:
1. Calculate the time taken to travel 20 miles:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{20 \text{ miles}}{10 \text{ miles/hour}} = 2 \text{ hours}
\]
2. Calculate the cost of the carriage:
- The cost is $30 per hour plus a flat fee of $20.
- Tot... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
In the garden, the gecko eats 12 bugs. The lizard eats half as many bugs as the gecko. The frog eats 3 times as many bugs as the lizard. The toad eats 50% more bugs than the frog. How many bugs are eaten in total by all of them? Let's t... | Let's break this down step by step:
1. The gecko eats 12 bugs.
2. The lizard eats half as many bugs as the gecko, so the lizard eats \( \frac{12}{2} = 6 \) bugs.
3. The frog eats 3 times as many bugs as the lizard, so the frog eats \( 6 \times 3 = 18 \) bugs.
4. The toad eats 50% more bugs than the frog, so the toad e... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Marissa's sunflower is 21 inches taller than her little sister. If her sister is 4 feet 3 inches tall, how tall is Marissa's sunflower in feet? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Convert Marissa's sister's height from feet and inches to just inches.
- 4 feet = 48 inches
- 3 inches
- Total = 48 + 3 = 51 inches
2. Add the height difference to Marissa's sister's height to find the sunflower's height.
- Sunflower height = 51 + 21 = 72 inches
3. ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jason bought a new bookcase that can hold a maximum of 80 pounds of weight. Jason has 70 hardcover books that each weigh half a pound, 30 textbooks that each weigh 2 pounds, and 3 knick-knacks that each weight 6 pounds. How many pounds ove... | Let's break this down step by step:
1. Calculate the total weight of the hardcover books:
70 books * 0.5 pounds/book = 35 pounds
2. Calculate the total weight of the textbooks:
30 textbooks * 2 pounds/textbook = 60 pounds
3. Calculate the total weight of the knick-knacks:
3 knick-knacks * 6 pounds/knick-kna... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John goes to the store to buy Slurpees and gives them $20. Slurpees cost $2 each and he got $8 in change. How many Slurpees did he buy? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. John gave the store $20 and got $8 in change, so he spent $20 - $8 = $12 on Slurpees.
2. Each Slurpee costs $2, so the number of Slurpees he bought is $12 / $2 = 6.
#### Final Answer:
#### 6 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Sam is twice as old as Sue. Kendra is 3 times as old as Sam. If Kendra is currently 18, what will be their total age in 3 years? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Kendra's current age is 18.
2. Kendra is 3 times as old as Sam, so Sam's current age is 18 / 3 = 6.
3. Sam is twice as old as Sue, so Sue's current age is 6 / 2 = 3.
Now, let's calculate their ages in 3 years:
- Kendra's age in 3 years will be 18 + 3 = 21.
- Sam's age in 3 year... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A pool has 48 blue tiles and 32 red tiles. If the pool needs 100 tiles to be completed, how many more tiles are needed? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of tiles needed:
48 blue tiles + 32 red tiles = 80 tiles
2. Subtract the number of tiles already in the pool from the total needed:
100 tiles - 80 tiles = 20 tiles
So, 20 more tiles are needed.
#### Final Answer:
#### 20 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
An ice cream vendor has 50 chocolate-flavored ice creams and 54 mango-flavored ice creams in his cart. If he sold 3/5 of the chocolate-flavored ice creams and 2/3 of the mango-flavored ice creams, how many total ice creams were not sold? L... | Let's break this down step by step:
1. Calculate the number of chocolate-flavored ice creams sold:
3/5 of 50 = 30
2. Calculate the number of chocolate-flavored ice creams not sold:
50 - 30 = 20
3. Calculate the number of mango-flavored ice creams sold:
2/3 of 54 = 36
4. Calculate the number of mango-flavor... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Silvia’s bakery is offering 10% on advanced orders over $50.00. She orders 2 quiches for $15.00 each, 6 croissants at $3.00 each and 6 buttermilk biscuits for $2.00 each. How much will her order be with the discount? Let's think step by ... | Let's break this down step by step:
1. Calculate the total cost of the order before the discount:
- 2 quiches at $15.00 each: 2 * $15.00 = $30.00
- 6 croissants at $3.00 each: 6 * $3.00 = $18.00
- 6 buttermilk biscuits at $2.00 each: 6 * $2.00 = $12.00
- Total cost before discount: $30.00 + $18.00 + $12.00... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Margo donated $4300 to Jayden's fundraising campaign. If Julie donated $4700 to Jayden's campaign, What's half the difference in the amount they contributed? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Determine the difference in the amount donated:
\( 4700 - 4300 = 400 \)
2. Find half of the difference:
\( \frac{400}{2} = 200 \)
So, half the difference in the amount they contributed is:
#### 200
#### 200 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jane, Kyla, and Anthony have summer jobs in a resort. Their task is to fold guests' towels. Jane can fold 3 towels in 5 minutes. Kyla can fold 5 towels in 10 minutes, and Anthony can fold 7 towels in 20 minutes. If they all fold towels tog... | Let's break this down step by step:
1. **Jane's rate**: Jane can fold 3 towels in 5 minutes. So, her rate is \( \frac{3}{5} \) towels per minute.
2. **Kyla's rate**: Kyla can fold 5 towels in 10 minutes. So, her rate is \( \frac{5}{10} = \frac{1}{2} \) towels per minute.
3. **Anthony's rate**: Anthony can fold 7 towel... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Léa bought one book for $16, three binders for $2 and six notebooks for $1. Calculate the total cost of her purchases. Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Cost of the book: $16
2. Cost of three binders: 3 binders * $2/binder = $6
3. Cost of six notebooks: 6 notebooks * $1/notebook = $6
Now, let's add up all the costs:
$16 (book) + $6 (binders) + $6 (notebooks) = $28
#### Final Answer:
#### 28 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tom split 2 apples into 8 slices each. Tom gave 3/8ths of the apple slices to his friend Jerry, then ate half of the remaining slices. How many apple slices does Tom have left? Let's think step by step and output the final answer after "##... | Let's break this down step by step:
1. **Total slices initially**: 2 apples * 8 slices per apple = 16 slices
2. **Slices given to Jerry**: 3/8 * 16 = 6 slices
3. **Remaining slices after giving to Jerry**: 16 - 6 = 10 slices
4. **Slices eaten by Tom**: 1/2 * 10 = 5 slices
5. **Slices left after eating**: 10 - 5 = ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have? Let's think step by step and output the final answer aft... | Let's break this down step by step:
1. Let the number of Chevys be \( C \).
2. Then the number of Fords is \( 2C + 3 \).
3. The number of Buicks is \( 4 \times (2C + 3) = 8C + 12 \).
The total number of models is the sum of the number of Buicks, Fords, and Chevys:
\[ 8C + 12 + (2C + 3) = 301 \]
Simplify and solve fo... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jean has 60 stuffies. She keeps 1/3 of them and then gives away the rest. She gives 1/4 of what she gave away to her sister Janet. How many stuffies did Janet get? Let's think step by step and output the final answer after "####".
assis... | Let's break this down step by step:
1. Jean keeps 1/3 of 60 stuffies:
60 * 1/3 = 20 stuffies
2. The rest of the stuffies are given to Jean's sister Janet:
60 - 20 = 40 stuffies
3. Janet gets 1/4 of what she gave to Jean:
40 * 1/4 = 10 stuffies
So, Janet got 10 stuffies.
#### Final Answer:
#### 10 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Hansel makes $30,000 a year and just received a 10% raise. Gretel makes the same amount as Hansel but received a 15% raise. How much more money will Gretel make compared to Hansel? Let's think step by step and output the final answer aft... | Let's break this down step by step:
1. Calculate Hansel's new salary after the 10% raise:
Hansel's original salary = $30,000
Raise = 10% of $30,000 = 0.10 * $30,000 = $3,000
New salary for Hansel = $30,000 + $3,000 = $33,000
2. Calculate Gretel's new salary after the 15% raise:
Gretel's original salary = ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jenny had $24 left after spending 3/7 of her money. How much is half of her original amount of money? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to find out how much money Jenny spent. She had $24 left after spending 3/7 of her money, so the amount spent is:
$24 * (7/3) = $56
2. Next, we need to find out how much money Jenny originally had. If she has $24 left after spending $56, then her original amoun... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Braden had $400 in his money box. He had also placed a bet today with Byan that the Raptors will beat the Bulls. If the game's outcome was as Braden predicted, and he and Bryan had agreed to give the winner twice as much money as Braden ha... | Let's break this down step by step:
1. Braden started with $400 in his money box.
2. He won the bet, and the winner received twice as much money as Braden had in his money box.
3. Twice as much as $400 is $400 * 2 = $800.
4. So, the winner received $800.
5. The total amount of money Braden had in his money box after w... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Victor, Austin, and Brian made traps to catch shrimp. Victor's trap caught 26 shrimp and Austin's trap caught 8 less than Victor's. Brian's trap caught half of Victor and Austin's total number of shrimp. If the boys then sold their shrimp ... | Let's break this down step by step:
1. Determine how many shrimp Austin's trap caught:
Victor's trap caught 26 shrimp, and Austin's trap caught 8 less than Victor's.
So, Austin's trap caught 26 - 8 = 18 shrimp.
2. Determine how many shrimp Brian's trap caught:
Austin's trap caught 18 shrimp, and Brian's trap... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Joan has 2 hours to get all her music practice done. She spends 30 minutes on the piano, 25 minutes writing music on her computer, and 38 minutes reading about the history of the piano. Her final work is to use a special finger exerciser. ... | Let's break this down step by step:
1. Joan has a total of 2 hours, which is 120 minutes.
2. She spends:
- 30 minutes on the piano
- 25 minutes writing music on her computer
- 38 minutes reading about the history of the piano
- 10 minutes (120 minutes - 30 minutes - 25 minutes - 38 minutes) on the special ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jackson had 20 kilograms of meat. He used 1/4 of the meat to make meatballs and used 3 kilograms of meat to make spring rolls. How many kilograms of meat are left? Let's think step by step and output the final answer after "####".
assistan... | Let's break this down step by step:
1. Jackson started with 20 kilograms of meat.
2. He used 1/4 of the meat to make meatballs, which is 20 * 1/4 = 5 kilograms.
3. He used 3 kilograms of meat to make spring rolls.
4. The total amount of meat used is 5 + 3 = 8 kilograms.
5. The amount of meat left is 20 - 8 = 12 kilogr... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A couple agreed to split their expenses equally, including the salary of their house help. While doing her job, the house help had an accident; thus, she underwent a medical procedure which cost her $128. The couple decided to pay half of ... | Let's break this down step by step:
1. The total medical expenses are $128.
2. The couple decided to pay half of the medical expenses, which is $128 / 2 = $64.
3. The other half of the medical expenses will be deducted from the husband's salary.
4. The husband paid for the entire half of the hospital bill, which is $6... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
At the Bertolli Farm, they grow 2073 tomatoes, 4112 cobs of corn, and 985 onions. How many fewer onions are grown than tomatoes and corn together? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of tomatoes and corn:
2073 (tomatoes) + 4112 (corn) = 6185
2. Calculate the number of fewer onions than the total:
6185 (tomatoes and corn) - 985 (onions) = 5200
So, 5200 fewer onions are grown than tomatoes and corn together.
#### Final Answer... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Shanna planted 6 tomato plants, 2 eggplant plants, and 4 pepper plants in her summer garden. Half of her tomato plants and one pepper plant died. The remaining plants each gave her 7 vegetables. How many vegetables did she have in all to h... | Let's break this down step by step:
1. Initial number of tomato plants: 6
2. Number of tomato plants that died: 6 / 2 = 3
3. Remaining tomato plants: 6 - 3 = 3
4. Initial number of pepper plants: 4
5. Number of pepper plants that died: 4
6. Remaining pepper plants: 4 - 4 = 0
7. Initial number of eggplant plants: 2
8. ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A family just bought a newborn puppy that must eat a special type of dog food until it is 1 year old. The puppy needs to eat 2 ounces of this special dog food per day during the first 60 days of its life. After that, it needs to eat 4 ou... | Let's break this down step by step:
1. Calculate the total amount of dog food needed for the first 60 days:
2 ounces/day * 60 days = 120 ounces
2. Calculate the total amount of dog food needed for the remaining 30 days:
4 ounces/day * 30 days = 120 ounces
3. Add the two amounts together to get the total amount... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Alan bought a $2000 phone online. John bought it 2% more expensive in a local store. How much did John spend on his phone? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Alan bought the phone for $2000.
2. John bought it 2% more expensive in a local store.
3. To find the price John paid, we need to calculate 2% of $2000 and add it to $2000.
4. 2% of $2000 is $2000 * 2/100 = $40.
5. So, the total amount John paid is $2000 + $40 = $2040.
#### Fina... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Stacy bought two packs of printer paper for the office. Each pack has 240 sheets of paper. Her office prints 80 one-page documents per day. How many days will the printer paper last her office? Let's think step by step and output the final... | Let's break this down step by step:
1. Calculate the total number of sheets of paper Stacy has:
2 packs × 240 sheets per pack = 480 sheets
2. Calculate the number of days the printer paper will last:
480 sheets ÷ 80 sheets per day = 6 days
#### Final Answer:
#### 6 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jill bought 5 packs of red bouncy balls and 4 packs of yellow bouncy balls. Each package contained 18 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Jill buy? Let's think step by step and output the final answer ... | Let's break this down step by step:
1. Calculate the total number of red bouncy balls:
Jill bought 5 packs of red bouncy balls, and each pack contains 18 balls.
So, the total number of red bouncy balls is 5 * 18 = 90.
2. Calculate the total number of yellow bouncy balls:
Jill bought 4 packs of yellow bouncy ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number ... | Let's break this down step by step:
1. Calculate the total number of cookies baked:
3 batches * 12 cookies per batch = 36 cookies
2. Calculate the total number of chocolate chips:
36 cookies * 2 chips per cookie = 72 chips
3. Determine how many cookies each family member gets:
36 cookies / 4 people = 9 cook... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John received 20 gifts on his 12th birthday. He received 8 fewer gifts on his 13th birthday. How many total gifts did he receive between those two birthdays? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. John received 20 gifts on his 12th birthday.
2. He received 8 fewer gifts on his 13th birthday, so he received \(20 - 8 = 12\) gifts on his 13th birthday.
3. The total number of gifts he received between his 12th and 13th birthdays is \(20 + 12 = 32\).
#### Final Answer:
#### 32 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A farmer owns a hog that recently gave birth to 6 piglets. If the farmer raises the piglets until they are fully grown, he can sell the fully grown pig for $300. Each piglet must grow for at least 12 months before it is large enough to b... | Let's break this down step by step:
1. **Total cost of food for 3 pigs after 12 months:**
- Cost per month = $10
- Number of months = 12
- Total cost = $10 * 12 = $120
2. **Total cost of food for 3 pigs after 16 months:**
- Cost per month = $10
- Number of months = 16
- Total cost = $10 * 16 = $160
... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Yanni has 5 paintings that combined, take up 200 square feet. 3 of the paintings are 5 feet by 5 feet. 1 painting is 10 feet by 8 feet. If the final painting is 5 feet tall, how wide is it? Let's think step by step and output the final ans... | Let's break this down step by step:
1. The total area of all 5 paintings is 200 square feet.
2. Three paintings are 5 feet by 5 feet, so their total area is \(3 \times 5 \times 5 = 75\) square feet.
3. One painting is 10 feet by 8 feet, so its area is \(10 \times 8 = 80\) square feet.
4. The area of the fourth paintin... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
For a New Year’s Eve appetizer, Alex is serving caviar with potato chips and creme fraiche. He buys 3 individual bags of potato chips for $1.00 each and dollops each chip with some creme fraiche that costs $5.00 and then the $73.00 caviar... | Let's break this down step by step:
1. Calculate the total cost of the potato chips:
3 bags * $1.00/bag = $3.00
2. Add the cost of the creme fraiche:
$3.00 (chips) + $5.00 (creme fraiche) = $8.00
3. Add the cost of the caviar:
$8.00 (chips + creme fraiche) + $73.00 (caviar) = $81.00
4. Calculate the cost p... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces? Let's think step by step and output ... | Let's break this down step by step:
1. Determine the number of candles Ethan makes:
Ethan makes 10 - 3 = 7 candles.
2. Calculate the total weight of the candles:
Each candle requires 8 ounces of beeswax and 1 ounce of coconut oil.
For 7 candles, the total weight is: 7 * (8 + 1) = 7 * 9 = 63 ounces.
#### Fin... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Edith has 80 novels stuffed on her schoolbook shelf, half as many as the number of writing books she has stuffed in her suitcase. How many novels and writing books does Edith have altogether? Let's think step by step and output the final a... | Let's break this down step by step:
1. Edith has 80 novels.
2. She has half as many novels as writing books, so the number of writing books is 80 * 2 = 160.
3. The total number of novels and writing books is 80 + 160 = 240.
#### Final Answer:
#### 240 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Three years from now, Tully will be twice as old as Kate. How old was Tully a year ago if Kate is now 29 years old? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Let Tully's current age be \( T \) years.
2. Kate's current age is given as 29 years.
3. In 3 years, Tully's age will be \( T + 3 \).
4. In 3 years, Kate's age will be \( 29 + 3 = 32 \) years.
5. According to the problem, Tully's age in 3 years will be twice Kate's age in 3 years... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Denny is planning to build a modular home. A 400 square foot Kitchen module costs $20000 and a 150 square foot bathroom module costs $12,000. All other modules cost $100 per square foot. If Denny plans to build a 2,000 square foot modul... | Let's break this down step by step:
1. Calculate the cost of the kitchen module:
400 square feet * $20,000 per square foot = $800,000
2. Calculate the cost of the two bathrooms modules:
2 bathrooms * $12,000 per bathroom = $24,000
3. Calculate the cost of the other modules:
2,000 square feet - 400 square fe... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Shelby had $20 to take to the book fair. She bought one book for $8 and another for $4. She decided to buy as many $4 posters as she could with the money she had left. How many posters can she buy? Let's think step by step and output the f... | Let's break this down step by step:
1. Shelby started with $20.
2. She bought one book for $8 and another for $4, so she spent $8 + $4 = $12.
3. The amount of money she has left is $20 - $12 = $8.
4. She can buy as many $4 posters as she can with the remaining $8, which is $8 / $4 = 2 posters.
#### Final Answer:
####... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The price of an iPhone fell 10% in a particular month and another 20% in the second month. If the initial price was $1000, calculate the price after the second month. Let's think step by step and output the final answer after "####".
assi... | Let's break this down step by step:
1. Calculate the price after the first month:
- Initial price = $1000
- Price fell by 10%
- New price = $1000 - (10/100) * $1000 = $1000 - $100 = $900
2. Calculate the price after the second month:
- Price fell by 20% from the new price of $900
- New price = $900 - (... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mark collects money for the homeless. He visits 20 households a day for 5 days and half of those households give him a pair of 20s. How much did he collect? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Mark visits 20 households a day for 5 days.
- Total households visited = 20 households/day * 5 days = 100 households
2. Half of those households give him a pair of 20s.
- Half of 100 households = 100 households / 2 = 50 households
3. Each of these 50 households gives him ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The ratio of the amount of money Cara, Janet, and Jerry have is 4:5:6. If the total amount of money they have is $75, calculate the loss Cara and Janet will make if they combine their money to buy oranges and sell them at 80% of the buying... | Let's break this down step by step:
1. Determine the amount of money each person has:
- The ratio of the amounts is 4:5:6.
- The total ratio is 4 + 5 + 6 = 15 parts.
- Each part is $75 / 15 = $5.
- Cara has 4 parts, so Cara has 4 * $5 = $20.
- Janet has 5 parts, so Janet has 5 * $5 = $25.
- Jerry has... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Travis goes through 2 boxes of cereal a week. If each box costs $3.00 and he eats 2 boxes every week for an entire year, 52 weeks, how much does he spend on cereal? Let's think step by step and output the final answer after "####".
assist... | Let's break this down step by step:
1. Calculate the total number of boxes Travis eats in a year:
2 boxes/week * 52 weeks = 104 boxes
2. Calculate the total cost of the cereal:
104 boxes * $3.00/box = $312.00
So, the total amount Travis spends on cereal in a year is:
#### $312.00
#### 312 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
To get the printer to work, Jerry needs to add a black-and-white cartridge and three color cartridges. If each color cartridge costs $32 and each black-and-white cartridge costs $27, how much does he pay total? Let's think step by step and... | Let's break this down step by step:
1. Cost of 3 color cartridges:
3 color cartridges * $32 per cartridge = $96
2. Cost of 1 black-and-white cartridge:
1 black-and-white cartridge * $27 per cartridge = $27
3. Total cost:
$96 (for color cartridges) + $27 (for black-and-white cartridge) = $123
So, the total ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
During the Easter egg hunt, Kevin found 5 eggs, Bonnie found 13 eggs, George found 9 and Cheryl found 56. How many more eggs did Cheryl find than the other three children found? Let's think step by step and output the final answer after "... | Let's break this down step by step:
1. First, we need to find the total number of eggs found by Kevin, Bonnie, and George:
5 (Kevin) + 13 (Bonnie) + 9 (George) = 27 eggs
2. Next, we need to find the total number of eggs found by Cheryl:
56 eggs
3. Now, we need to find out how many more eggs Cheryl found than t... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
James splits 4 packs of stickers that have 30 stickers each. Each sticker cost $.10. If his friend pays for half how much did James pay? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of stickers:
4 packs * 30 stickers per pack = 120 stickers
2. Calculate the total cost of the stickers:
120 stickers * $0.10 per sticker = $12.00
3. Since James splits the cost, half of the total cost is:
$12.00 / 2 = $6.00
4. James's friend... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. The total average age of the three friends is 40.
2. Let's denote Hakimi's age by \( H \).
3. Jared's age is \( H + 10 \).
4. Molly's age is 30.
The average age is the total sum of their ages divided by 3. So, we can write the equation for the average age as:
\[
\frac{H + (H + 1... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Xavier plays football with his friends. During 15 minutes Xavier can score 2 goals on average. How many goals on average is Xavier able to score, when the match lasted for 2 hours? Let's think step by step and output the final answer after... | Let's break this down step by step:
1. First, we need to find out how many minutes are in 2 hours. There are 60 minutes in an hour, so 2 hours is 2 * 60 = 120 minutes.
2. Xavier can score 2 goals in 15 minutes. To find out how many goals he can score in 120 minutes, we need to set up a proportion. If 15 minutes = 2 g... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Los Angeles has 6 million people living in it. If half the population is women and 1/3 of the women work in retail, how many women work in retail in Los Angeles? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of women in Los Angeles:
6,000,000 people / 2 = 3,000,000 women
2. Calculate the number of women who work in retail:
3,000,000 people * 1/3 = 1,000,000 women
So, the number of women who work in retail in Los Angeles is:
#### 1,000,000
#### 1,000... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ed and Jacob already had 2 shells in their shell collection. Then they went to the beach to collect even more. Ed found 7 limpet shells, 2 oyster shells, and 4 conch shells. Jacob found 2 more shells than Ed did. How many shells do the pai... | Let's break this down step by step:
1. Ed already had 2 shells.
2. Ed found 7 limpet shells, 2 oyster shells, and 4 conch shells. So, the total number of shells Ed found is \(7 + 2 + 4 = 13\).
3. Jacob found 2 more shells than Ed did. So, Jacob found \(13 + 2 = 15\) shells.
4. Together, Ed and Jacob have \(2 + 13 + 15... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Claire wants to make 2 cakes for her mother. Two packages of flour are required for making a cake. If 1 package of flour is $3, how much does she pay for the flour that is enough to make 2 cakes? Let's think step by step and output the fin... | Let's break this down step by step:
1. Claire needs 2 packages of flour to make 2 cakes.
2. Each package of flour costs $3.
3. So, the total cost for 2 packages of flour is \(2 \times 3 = 6\) dollars.
4. Therefore, Claire pays $6 for the flour that is enough to make 2 cakes.
#### Final Answer:
#### 6 | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A floral shop had a three day sale on rose bouquets. On Monday, they sold 12 bouquets. On Tuesday, they sold three times that many bouquets. On Wednesday it rained all day and they only sold a third of what they did the day before. How man... | Let's break this down step by step:
1. On Monday, they sold 12 bouquets.
2. On Tuesday, they sold three times that many bouquets, which is 12 * 3 = 36 bouquets.
3. On Wednesday, they sold a third of what they did on Tuesday, which is 36 / 3 = 12 bouquets.
Now, let's add up the bouquets sold over the three days:
12 (M... | 1 |
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