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Claude-3 Sonnet on 5.NBT.B.5

Common Core Standard 5.NBT.B.5

This standard covers the following:

Fluently multiply multi-digit whole numbers using the standard algorithm.

🔗 Problem

Problem: If a clock ticks 225 times per hour, how many times will it tick in 65 hours?

Claude-3 Sonnet:

To solve this problem, we need to find the number of ticks in one hour and then multiply it by the number of hours.

Given information:
- The clock ticks 225 times per hour.
- We need to find the number of ticks in 65 hours.

Step 1: Find the number of ticks in one hour.
Number of ticks in one hour = 225 ticks

Step 2: Find the number of ticks in 65 hours.
Number of ticks in 65 hours = Number of ticks in one hour × Number of hours
Number of ticks in 65 hours = 225 ticks × 65 hours
Number of ticks in 65 hours = 14,625 ticks

Therefore, the clock will tick 14,625 times in 65 hours.

### Answer: 14,625

Expected answer: 14625

Correct? Yes

🔗 Follow-up

Problem: If the same clock ticks 225 times per hour, how many times will it tick in 37 hours instead of 65 hours?

Claude-3 Sonnet:

To solve this problem, we need to find the number of ticks in one hour and then multiply it by the number of hours.

Given information:
- The clock ticks 225 times per hour.
- We need to find the number of ticks in 37 hours.

Step 1: Find the number of ticks in one hour.
Number of ticks in one hour = 225 ticks

Step 2: Find the number of ticks in 37 hours.
Number of ticks in 37 hours = Number of ticks in one hour × Number of hours
Number of ticks in 37 hours = 225 ticks × 37 hours
Number of ticks in 37 hours = 8,325 ticks

Therefore, the clock will tick 8,325 times in 37 hours.

### Answer: 8,325

Expected answer: 8325

Correct? Yes

🔗 Problem

Problem: A camera shop makes four times more sales in the holiday season. If they usually sell 302 cameras in non-holiday seasons, how many cameras do they sell in the holiday season?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cameras sold during the holiday season, given that the shop makes four times more sales during that period compared to non-holiday seasons.

Given information:
- The camera shop sells 302 cameras in non-holiday seasons.
- During the holiday season, the shop makes four times more sales.

Step 1: Find the number of cameras sold during the holiday season.
Number of cameras sold during the holiday season = Number of cameras sold in non-holiday seasons × 4
Number of cameras sold during the holiday season = 302 × 4
Number of cameras sold during the holiday season = 1,208 cameras

Therefore, the camera shop sells 1,208 cameras during the holiday season.

### Answer: 1,208

Expected answer: 1208

Correct? Yes

🔗 Problem

Problem: A jeweler produces 423 rings each day. After 128 days of production, how many total rings have been produced?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of rings produced in 128 days.

Given information:
- The jeweler produces 423 rings each day.
- The production period is 128 days.

Step 1: Find the number of rings produced in 128 days.
Number of rings produced per day × Number of days = Total number of rings produced
423 rings × 128 days = 54,144 rings

Therefore, after 128 days of production, the total number of rings produced is 54,144.

### Answer: 54,144

Expected answer: 54144

Correct? Yes

🔗 Follow-up

Problem: Suppose the jeweler modifies his production process and now he can produce 713 rings each day instead of 423. After the same 128 days of production, how many total rings have been produced?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of rings produced in 128 days with the modified production process.

Given information:
- The jeweler now produces 713 rings each day.
- The production period is still 128 days.

Step 1: Find the number of rings produced in 128 days with the modified production process.
Number of rings produced per day × Number of days = Total number of rings produced
713 rings × 128 days = 91,264 rings

Therefore, after 128 days of production with the modified process, the total number of rings produced is 91,264.

### Answer: 91,264

Expected answer: 91264

Correct? Yes

🔗 Problem

Problem: A chocolate factory produces 3771 chocolate bars in one hour. If the factory operates for 17 hours in a day, how many chocolate bars does it produce in that time?

Claude-3 Sonnet:

To solve this problem, we need to find the number of chocolate bars produced in one day by multiplying the number of chocolate bars produced in one hour by the number of hours the factory operates in a day.

Given information:
- The chocolate factory produces 3771 chocolate bars in one hour.
- The factory operates for 17 hours in a day.

Step 1: Find the number of chocolate bars produced in one day.
Number of chocolate bars produced in one day = Number of chocolate bars produced in one hour × Number of hours the factory operates in a day
Number of chocolate bars produced in one day = 3771 × 17
Number of chocolate bars produced in one day = 64,107

Therefore, the chocolate factory produces 64,107 chocolate bars in 17 hours of operation in a day.

### Answer: 64,107

Expected answer: 64107

Correct? Yes

🔗 Follow-up

Problem: The chocolate factory has decided to reduce its hourly production. Now it only produces 855 chocolate bars in one hour. If they continue to operate for 17 hours a day, how many chocolate bars will they produce in that time?

Claude-3 Sonnet:

To solve this problem, we need to find the number of chocolate bars produced in one day by multiplying the new number of chocolate bars produced in one hour by the number of hours the factory operates in a day.

Given information:
- The chocolate factory now produces 855 chocolate bars in one hour.
- The factory continues to operate for 17 hours in a day.

Step 1: Find the number of chocolate bars produced in one day.
Number of chocolate bars produced in one day = Number of chocolate bars produced in one hour × Number of hours the factory operates in a day
Number of chocolate bars produced in one day = 855 × 17
Number of chocolate bars produced in one day = 14,535

Therefore, with the reduced hourly production of 855 chocolate bars, the chocolate factory will produce 14,535 chocolate bars in 17 hours of operation in a day.

### Answer: 14,535

Expected answer: 14535

Correct? Yes

🔗 Problem

Problem: In a board game, if you earn 3973 points for each card you play and you managed to play 4 cards, how many points have you earned?

Claude-3 Sonnet:

To solve this problem, we need to find the total points earned by multiplying the points earned for each card by the number of cards played.

Given information:
- Each card played earns 3973 points.
- You played 4 cards.

Step 1: Find the points earned for playing one card.
Points earned for one card = 3973 points

Step 2: Find the total points earned for playing 4 cards.
Total points earned = Points earned for one card × Number of cards played
Total points earned = 3973 points × 4 cards
Total points earned = 15892 points

Therefore, you have earned 15892 points by playing 4 cards in the board game.

### Answer: 15892

Expected answer: 15892

Correct? Yes

🔗 Follow-up

Problem: In the same board game, let's say there was an update and now you earn 1436 points for each card you play. If you played 4 cards with the new rules, how many points have you earned now?

Claude-3 Sonnet:

To solve this problem, we need to find the total points earned by multiplying the new points earned for each card by the number of cards played.

Given information:
- Each card played now earns 1436 points (after the update).
- You played 4 cards.

Step 1: Find the points earned for playing one card with the new rules.
Points earned for one card = 1436 points

Step 2: Find the total points earned for playing 4 cards with the new rules.
Total points earned = Points earned for one card × Number of cards played
Total points earned = 1436 points × 4 cards
Total points earned = 5744 points

Therefore, with the new rules, you have earned 5744 points by playing 4 cards in the board game.

### Answer: 5744

Expected answer: 5744

Correct? Yes

🔗 Problem

Problem: A jewelry designer uses 459 small diamonds for each ring she makes. If she decides to make 141 rings, how many diamonds will she need in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of diamonds required for making 141 rings.

Given information:
- The jewelry designer uses 459 small diamonds for each ring.
- The jewelry designer wants to make 141 rings.

Step 1: Find the number of diamonds required for one ring.
Number of diamonds required for one ring = 459 diamonds

Step 2: Find the total number of diamonds required for 141 rings.
Total number of diamonds required = Number of diamonds required for one ring × Number of rings
Total number of diamonds required = 459 diamonds × 141 rings
Total number of diamonds required = 64,719 diamonds

Therefore, the jewelry designer will need a total of 64,719 diamonds to make 141 rings.

### Answer: 64,719

Expected answer: 64719

Correct? Yes

🔗 Follow-up

Problem: If the jewelry designer decides to make each ring with only 98 small diamonds instead of 459, how many diamonds will she need in total to make 141 rings?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of diamonds required for making 141 rings when each ring uses 98 small diamonds.

Given information:
- The jewelry designer wants to use 98 small diamonds for each ring.
- The jewelry designer wants to make 141 rings.

Step 1: Find the number of diamonds required for one ring.
Number of diamonds required for one ring = 98 diamonds

Step 2: Find the total number of diamonds required for 141 rings.
Total number of diamonds required = Number of diamonds required for one ring × Number of rings
Total number of diamonds required = 98 diamonds × 141 rings
Total number of diamonds required = 13,818 diamonds

Therefore, if the jewelry designer decides to make each ring with only 98 small diamonds instead of 459, she will need a total of 13,818 diamonds to make 141 rings.

### Answer: 13,818

Expected answer: 13818

Correct? Yes

🔗 Problem

Problem: A famous restaurant sells a popular dish for $20. If they sold 4285 dishes, how much revenue did they generate from this dish alone?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue generated from selling the popular dish.

Given information:
- The price of the popular dish is $20.
- The restaurant sold 4285 dishes.

To find the total revenue, we need to multiply the price of the dish by the number of dishes sold.

Total revenue = Price of the dish × Number of dishes sold
Total revenue = $20 × 4285
Total revenue = $85,700

Therefore, the restaurant generated a revenue of $85,700 from selling the popular dish alone.

### Answer: $85,700

Expected answer: 85700

Correct? Yes

🔗 Follow-up

Problem: If the restaurant decided to change the recipe and the new dish was not as popular, selling only 1946 dishes for the same price of $20, how much revenue did the restaurant generate from this new dish?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue generated from selling the new dish.

Given information:
- The price of the new dish is $20.
- The restaurant sold 1946 dishes of the new dish.

To find the total revenue, we need to multiply the price of the dish by the number of dishes sold.

Total revenue = Price of the dish × Number of dishes sold
Total revenue = $20 × 1946
Total revenue = $38,920

Therefore, the restaurant generated a revenue of $38,920 from selling the new dish.

### Answer: $38,920

Expected answer: 38920

Correct? Yes

🔗 Problem

Problem: A banana plantation produces 5998 bananas per tree. If a farmer has two such trees, how many bananas does the farmer produce from these two trees in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bananas produced by the two trees.

Given information:
- Each tree produces 5998 bananas.
- The farmer has two trees.

Step 1: Find the number of bananas produced by one tree.
Number of bananas produced by one tree = 5998 bananas

Step 2: Find the number of bananas produced by two trees.
Number of bananas produced by two trees = Number of bananas produced by one tree × Number of trees
Number of bananas produced by two trees = 5998 bananas × 2 trees
Number of bananas produced by two trees = 11996 bananas

Therefore, the farmer produces a total of 11996 bananas from the two trees.

### Answer: 11996

Expected answer: 11996

Correct? Yes

🔗 Follow-up

Problem: If instead of 5998 bananas per tree, the farmer's trees were only able to produce 3185 bananas each, how many bananas would the two trees produce together?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bananas produced by the two trees when each tree produces 3185 bananas.

Given information:
- Each tree produces 3185 bananas.
- The farmer has two trees.

Step 1: Find the number of bananas produced by one tree.
Number of bananas produced by one tree = 3185 bananas

Step 2: Find the number of bananas produced by two trees.
Number of bananas produced by two trees = Number of bananas produced by one tree × Number of trees
Number of bananas produced by two trees = 3185 bananas × 2 trees
Number of bananas produced by two trees = 6370 bananas

Therefore, if each tree produces 3185 bananas, the two trees together would produce a total of 6370 bananas.

### Answer: 6370

Expected answer: 6370

Correct? Yes

🔗 Problem

Problem: A skateboard manufacturer uses 14 screws for each skateboard. If they aim to produce 6085 skateboards, how many screws will they need?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of screws required for 6085 skateboards.

Given information:
- The skateboard manufacturer uses 14 screws for each skateboard.
- The manufacturer aims to produce 6085 skateboards.

Step 1: Find the number of screws required for one skateboard.
Number of screws per skateboard = 14

Step 2: Find the total number of screws required for 6085 skateboards.
Total number of screws = Number of screws per skateboard × Number of skateboards
Total number of screws = 14 × 6085
Total number of screws = 85,190

Therefore, the skateboard manufacturer will need 85,190 screws to produce 6085 skateboards.

### Answer: 85,190

Expected answer: 85190

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, if the skateboard manufacturer initially planned to produce only 556 skateboards instead of 6085, how many screws would they need then?

Claude-3 Sonnet:

In this scenario, we need to find the number of screws required for 556 skateboards.

Given information:
- The skateboard manufacturer uses 14 screws for each skateboard.
- The manufacturer plans to produce 556 skateboards.

Step 1: Find the number of screws required for one skateboard.
Number of screws per skateboard = 14

Step 2: Find the total number of screws required for 556 skateboards.
Total number of screws = Number of screws per skateboard × Number of skateboards
Total number of screws = 14 × 556
Total number of screws = 7,784

Therefore, if the skateboard manufacturer plans to produce 556 skateboards, they would need 7,784 screws.

### Answer: 7,784

Expected answer: 7784

Correct? Yes

🔗 Problem

Problem: A water bottle factory produces 8688 bottles every day. If they continue production for a week (7 days), how many bottles would they produce?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bottles produced in a week by multiplying the daily production by the number of days in a week.

Given information:
- The water bottle factory produces 8688 bottles every day.
- The factory will continue production for a week (7 days).

Step 1: Find the number of bottles produced in a week.
Number of bottles produced in a week = Daily production × Number of days in a week
Number of bottles produced in a week = 8688 × 7

Step 2: Calculate the number of bottles produced in a week.
Number of bottles produced in a week = 8688 × 7
Number of bottles produced in a week = 60,816

Therefore, the water bottle factory would produce 60,816 bottles in a week.

### Answer: 60816

Expected answer: 60816

Correct? Yes

🔗 Follow-up

Problem: Suppose the water bottle factory experiences a decrease in productivity and now only produces 2655 bottles each day. If they continue production for a week (7 days), how many bottles would they now produce?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bottles produced in a week by multiplying the new daily production by the number of days in a week.

Given information:
- The water bottle factory now produces 2655 bottles every day.
- The factory will continue production for a week (7 days).

Step 1: Find the number of bottles produced in a week.
Number of bottles produced in a week = New daily production × Number of days in a week
Number of bottles produced in a week = 2655 × 7

Step 2: Calculate the number of bottles produced in a week.
Number of bottles produced in a week = 2655 × 7
Number of bottles produced in a week = 18,585

Therefore, with the decreased productivity, the water bottle factory would produce 18,585 bottles in a week.

### Answer: 18585

Expected answer: 18585

Correct? Yes

🔗 Problem

Problem: A bicycle company produces 6347 bicycles every month. How many bicycles does the company produce in 11 months?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bicycles produced in 11 months.

Given information:
- The bicycle company produces 6347 bicycles every month.

Step 1: Find the number of bicycles produced in 1 month.
Number of bicycles produced in 1 month = 6347

Step 2: Find the number of bicycles produced in 11 months.
Number of bicycles produced in 11 months = Number of bicycles produced in 1 month × 11
Number of bicycles produced in 11 months = 6347 × 11
Number of bicycles produced in 11 months = 69817

Therefore, the bicycle company produces 69817 bicycles in 11 months.

### Answer: 69817

Expected answer: 69817

Correct? Yes

🔗 Follow-up

Problem: If the same bicycle company instead produced 3054 bicycles every month, how many bicycles would the company then produce in 11 months?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bicycles produced in 11 months when the company produces 3054 bicycles every month.

Given information:
- The bicycle company produces 3054 bicycles every month.

Step 1: Find the number of bicycles produced in 1 month.
Number of bicycles produced in 1 month = 3054

Step 2: Find the number of bicycles produced in 11 months.
Number of bicycles produced in 11 months = Number of bicycles produced in 1 month × 11
Number of bicycles produced in 11 months = 3054 × 11
Number of bicycles produced in 11 months = 33594

Therefore, if the bicycle company produces 3054 bicycles every month, it would produce 33594 bicycles in 11 months.

### Answer: 33594

Expected answer: 33594

Correct? Yes

🔗 Problem

Problem: If a baby needs 9932 breaths a day, how many breaths does the baby need in 2 days?

Claude-3 Sonnet:

To solve this problem, we need to find the number of breaths the baby needs in one day and then multiply it by the number of days.

Given information:
- A baby needs 9932 breaths a day.
- We need to find the number of breaths the baby needs in 2 days.

Step 1: Find the number of breaths the baby needs in one day.
Number of breaths in one day = 9932 breaths

Step 2: Find the number of breaths the baby needs in 2 days.
Number of breaths in 2 days = Number of breaths in one day × Number of days
Number of breaths in 2 days = 9932 breaths × 2 days
Number of breaths in 2 days = 19864 breaths

Therefore, the baby needs 19864 breaths in 2 days.

### Answer: 19864

Expected answer: 19864

Correct? Yes

🔗 Follow-up

Problem: If instead, a baby needs 6860 breaths a day, how many breaths would the baby need in 2 days?

Claude-3 Sonnet:

To solve this problem, we need to find the number of breaths the baby needs in one day and then multiply it by the number of days.

Given information:
- A baby needs 6860 breaths a day.
- We need to find the number of breaths the baby needs in 2 days.

Step 1: Find the number of breaths the baby needs in one day.
Number of breaths in one day = 6860 breaths

Step 2: Find the number of breaths the baby needs in 2 days.
Number of breaths in 2 days = Number of breaths in one day × Number of days
Number of breaths in 2 days = 6860 breaths × 2 days
Number of breaths in 2 days = 13720 breaths

Therefore, the baby needs 13720 breaths in 2 days.

### Answer: 13720

Expected answer: 13720

Correct? Yes

🔗 Problem

Problem: A playground slide takes 8555 seconds for a child to fully descend. If a child decided to slide down 9 times in a row, how many seconds in total did the child spend sliding?

Claude-3 Sonnet:

To solve this problem, we need to find the total time the child spent sliding down the slide 9 times.

Given information:
- The slide takes 8555 seconds for a child to fully descend.
- The child decided to slide down 9 times in a row.

Step 1: Find the time it takes for one slide.
Time for one slide = 8555 seconds

Step 2: Find the total time for 9 slides.
Total time = Time for one slide × Number of slides
Total time = 8555 seconds × 9
Total time = 76,995 seconds

Therefore, the child spent a total of 76,995 seconds sliding down the slide 9 times in a row.

### Answer: 76995

Expected answer: 76995

Correct? Yes

🔗 Follow-up

Problem: Previously, it took a child 8555 seconds to fully descend a playground slide, and they decided to go down 9 times. Now, imagine the child goes to a different playground, where the slide takes 9780 seconds to fully descend. If the child decides to slide down the same slide 9 times, how many seconds will they spend on this new slide?

Claude-3 Sonnet:

To solve this problem, we need to find the total time the child will spend sliding down the new slide 9 times.

Given information:
- The new slide takes 9780 seconds for a child to fully descend.
- The child decides to slide down the same slide 9 times.

Step 1: Find the time it takes for one slide.
Time for one slide = 9780 seconds

Step 2: Find the total time for 9 slides.
Total time = Time for one slide × Number of slides
Total time = 9780 seconds × 9
Total time = 88,020 seconds

Therefore, the child will spend a total of 88,020 seconds sliding down the new slide 9 times.

### Answer: 88020

Expected answer: 88020

Correct? Yes

🔗 Problem

Problem: A slide's length is measured and found to be 631 inches. If this length was increased by a factor of 36, how long would the slide be now?

Claude-3 Sonnet:

To solve this problem, we need to find the new length of the slide after increasing its original length by a factor of 36.

Given information:
- The original length of the slide is 631 inches.
- The length is increased by a factor of 36.

Step 1: Multiply the original length by the factor of 36.
New length = Original length × Factor
New length = 631 inches × 36
New length = 22,716 inches

Therefore, after increasing the length of the slide by a factor of 36, the new length of the slide would be 22,716 inches.

### Answer: 22,716

Expected answer: 22716

Correct? Yes

🔗 Follow-up

Problem: If instead the original length of the slide was 2148 inches, what would be the new length of the slide after it was increased by a factor of 36?

Claude-3 Sonnet:

To solve this problem, we need to find the new length of the slide after increasing its original length of 2148 inches by a factor of 36.

Given information:
- The original length of the slide is 2148 inches.
- The length is increased by a factor of 36.

Step 1: Multiply the original length by the factor of 36.
New length = Original length × Factor
New length = 2148 inches × 36
New length = 77,328 inches

Therefore, if the original length of the slide was 2148 inches and it was increased by a factor of 36, the new length of the slide would be 77,328 inches.

### Answer: 77,328

Expected answer: 77328

Correct? Yes

🔗 Problem

Problem: A toy factory produces 480 stuffed animals every hour. If they operate for 197 hours, how many stuffed animals would they have produced?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of stuffed animals produced by multiplying the production rate per hour by the number of hours the factory operates.

Given information:
- The toy factory produces 480 stuffed animals every hour.
- The factory operates for 197 hours.

Step 1: Find the total number of stuffed animals produced.
Total number of stuffed animals produced = Production rate per hour × Number of hours operated
Total number of stuffed animals produced = 480 stuffed animals/hour × 197 hours
Total number of stuffed animals produced = 94,560 stuffed animals

Therefore, the toy factory would have produced 94,560 stuffed animals in 197 hours of operation.

### Answer: 94,560

Expected answer: 94560

Correct? Yes

🔗 Follow-up

Problem: Suppose the toy factory increases their production and makes 452 stuffed animals every hour instead of 480. If they still operate for 197 hours, how many stuffed animals would they now produce?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of stuffed animals produced by multiplying the new production rate per hour by the number of hours the factory operates.

Given information:
- The toy factory now produces 452 stuffed animals every hour.
- The factory still operates for 197 hours.

Step 1: Find the total number of stuffed animals produced with the new production rate.
Total number of stuffed animals produced = New production rate per hour × Number of hours operated
Total number of stuffed animals produced = 452 stuffed animals/hour × 197 hours
Total number of stuffed animals produced = 89,044 stuffed animals

Therefore, with the new production rate of 452 stuffed animals per hour, the toy factory would produce 89,044 stuffed animals in 197 hours of operation.

### Answer: 89,044

Expected answer: 89044

Correct? Yes

🔗 Problem

Problem: A carpenter is tasked to make 77 doors for a new building. Each door requires 1209 work units to complete. What is the total number of work units required to make all the doors?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of work units required for all the doors.

Given information:
- The carpenter needs to make 77 doors.
- Each door requires 1209 work units to complete.

Step 1: Find the number of work units required for one door.
Work units required for one door = 1209 work units

Step 2: Find the total number of work units required for all 77 doors.
Total work units required = Number of doors × Work units required for one door
Total work units required = 77 × 1209 work units
Total work units required = 93,093 work units

Therefore, the total number of work units required to make all 77 doors is 93,093 work units.

### Answer: 93,093

Expected answer: 93093

Correct? Yes

🔗 Follow-up

Problem: The carpenter realizes that instead of requiring 1209 work units for each door, they actually only need 723 work units per door. Given this updated information, what is the total number of work units required to make the 77 doors?

Claude-3 Sonnet:

Okay, let's recalculate the total number of work units required with the updated information.

Given information:
- The carpenter needs to make 77 doors.
- Each door requires 723 work units to complete.

Step 1: Find the number of work units required for one door.
Work units required for one door = 723 work units

Step 2: Find the total number of work units required for all 77 doors.
Total work units required = Number of doors × Work units required for one door
Total work units required = 77 × 723 work units
Total work units required = 55,671 work units

Therefore, with the updated information that each door requires 723 work units, the total number of work units required to make all 77 doors is 55,671 work units.

### Answer: 55,671

Expected answer: 55671

Correct? Yes

🔗 Problem

Problem: A farmer collected 2473 tomatoes from each tomato plant. If the farmer has 23 tomato plants, how many tomatoes did the farmer collect in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of tomatoes collected from all the tomato plants.

Given information:
- The farmer collected 2473 tomatoes from each tomato plant.
- The farmer has 23 tomato plants.

Step 1: Find the number of tomatoes collected from one tomato plant.
Number of tomatoes collected from one tomato plant = 2473

Step 2: Find the total number of tomatoes collected from all the tomato plants.
Total number of tomatoes collected = Number of tomatoes collected from one tomato plant × Number of tomato plants
Total number of tomatoes collected = 2473 × 23
Total number of tomatoes collected = 56,879

Therefore, the farmer collected a total of 56,879 tomatoes from all the tomato plants.

### Answer: 56879

Expected answer: 56879

Correct? Yes

🔗 Follow-up

Problem: Consider now that the farmer collected 4156 tomatoes from each tomato plant instead of 2473. If the farmer still has 23 tomato plants, how many tomatoes did the farmer collect now?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- The farmer collected 4156 tomatoes from each tomato plant.
- The farmer has 23 tomato plants.

Step 1: Find the number of tomatoes collected from one tomato plant.
Number of tomatoes collected from one tomato plant = 4156

Step 2: Find the total number of tomatoes collected from all the tomato plants.
Total number of tomatoes collected = Number of tomatoes collected from one tomato plant × Number of tomato plants
Total number of tomatoes collected = 4156 × 23
Total number of tomatoes collected = 95,588

Therefore, with the new information that the farmer collected 4156 tomatoes from each tomato plant, and the farmer still has 23 tomato plants, the farmer collected a total of 95,588 tomatoes.

### Answer: 95588

Expected answer: 95588

Correct? Yes

🔗 Problem

Problem: A store sells 699 pairs of pants each day. If the store is open 51 days in two months, how many pants do they sell in two months?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pants sold in 51 days.

Given information:
- The store sells 699 pairs of pants each day.
- The store is open for 51 days in two months.

Step 1: Find the number of pants sold in one day.
Number of pants sold in one day = 699 pairs

Step 2: Find the number of pants sold in 51 days.
Number of pants sold in 51 days = Number of pants sold in one day × Number of days
Number of pants sold in 51 days = 699 pairs × 51 days
Number of pants sold in 51 days = 35,649 pairs

Therefore, the store sells 35,649 pairs of pants in two months.

### Answer: 35,649

Expected answer: 35649

Correct? Yes

🔗 Follow-up

Problem: Due to a rise in popularity, the pants store began selling 1462 pairs of pants each day. Keeping the same 51 days open in two months as before, how many pants would they sell in those two months now?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pants sold in 51 days with the new daily sales rate.

Given information:
- The store now sells 1462 pairs of pants each day.
- The store is still open for 51 days in two months.

Step 1: Find the number of pants sold in one day.
Number of pants sold in one day = 1462 pairs

Step 2: Find the number of pants sold in 51 days.
Number of pants sold in 51 days = Number of pants sold in one day × Number of days
Number of pants sold in 51 days = 1462 pairs × 51 days
Number of pants sold in 51 days = 74,562 pairs

Therefore, with the new daily sales rate of 1462 pairs of pants, the store would sell 74,562 pairs of pants in two months.

### Answer: 74,562

Expected answer: 74562

Correct? Yes

🔗 Problem

Problem: If you multiply the number 3639 by 10, what result do you get?

Claude-3 Sonnet:

To multiply a number by 10, we simply add a zero at the end of the number.

Given number: 3639

Multiplying 3639 by 10:
3639 x 10 = 36390

Therefore, when we multiply the number 3639 by 10, the result is 36390.

### Answer: 36390

Expected answer: 36390

Correct? Yes

🔗 Follow-up

Problem: If you multiply the number 7033 by 10 instead of 3639, what result do you get?

Claude-3 Sonnet:

To multiply a number by 10, we add a zero at the end of the number.

Given number: 7033

Multiplying 7033 by 10:
7033 x 10 = 70330

Therefore, when we multiply the number 7033 by 10, the result is 70330.

### Answer: 70330

Expected answer: 70330

Correct? Yes

🔗 Problem

Problem: A convenience store sells packs of keys with each pack containing 6314 keys. If they just sold 14 packs, how many keys have they sold in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of keys in 14 packs.

Given information:
- Each pack contains 6314 keys.
- The store sold 14 packs.

Step 1: Find the number of keys in one pack.
Number of keys in one pack = 6314 keys

Step 2: Find the total number of keys in 14 packs.
Total number of keys = Number of keys in one pack × Number of packs
Total number of keys = 6314 keys × 14 packs
Total number of keys = 88,396 keys

Therefore, the convenience store has sold a total of 88,396 keys by selling 14 packs.

### Answer: 88,396

Expected answer: 88396

Correct? Yes

🔗 Follow-up

Problem: The convenience store later decided to sell the packs of keys which each pack containing 4352 keys instead of 6314. If they then sold 14 packs, how many keys have they sold from these smaller packs?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of keys in 14 packs, where each pack contains 4352 keys.

Given information:
- Each pack contains 4352 keys.
- The store sold 14 packs.

Step 1: Find the number of keys in one pack.
Number of keys in one pack = 4352 keys

Step 2: Find the total number of keys in 14 packs.
Total number of keys = Number of keys in one pack × Number of packs
Total number of keys = 4352 keys × 14 packs
Total number of keys = 60,928 keys

Therefore, the convenience store has sold a total of 60,928 keys by selling 14 packs, where each pack contains 4352 keys.

### Answer: 60,928

Expected answer: 60928

Correct? Yes

🔗 Problem

Problem: In a sandbox game, a player needs 149 units of sand to build a castle. If they build 478 castles, how many units of sand did they use in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of units of sand required to build 478 castles.

Given information:
- To build one castle, 149 units of sand are needed.
- The player wants to build 478 castles.

Step 1: Find the number of units of sand needed for one castle.
Units of sand needed for one castle = 149 units

Step 2: Find the total number of units of sand needed for 478 castles.
Total units of sand needed = Units of sand needed for one castle × Number of castles
Total units of sand needed = 149 units × 478 castles
Total units of sand needed = 71,222 units

Therefore, the player used a total of 71,222 units of sand to build 478 castles in the sandbox game.

### Answer: 71,222

Expected answer: 71222

Correct? Yes

🔗 Problem

Problem: A single colony of bees can produce 7364 grams of honey a day. If a beekeeper allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of honey produced by the colony in 10 days.

Given information:
- A single colony of bees can produce 7364 grams of honey a day.
- The beekeeper allows the bees to collect nectar and produce honey for 10 days.

Step 1: Find the amount of honey produced by the colony in one day.
Amount of honey produced in one day = 7364 grams

Step 2: Find the total amount of honey produced by the colony in 10 days.
Total amount of honey produced = Amount of honey produced in one day × Number of days
Total amount of honey produced = 7364 grams × 10 days
Total amount of honey produced = 73640 grams

Therefore, the colony produces 73640 grams of honey in 10 days.

### Answer: 73640

Expected answer: 73640

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of 7364 grams of honey a day, a single colony of bees can actually produce 9201 grams of honey a day. If the beekeeper still allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce now?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of honey produced by the colony in 10 days with the new daily production rate.

Given information:
- A single colony of bees can produce 9201 grams of honey a day.
- The beekeeper allows the bees to collect nectar and produce honey for 10 days.

Step 1: Find the amount of honey produced by the colony in one day.
Amount of honey produced in one day = 9201 grams

Step 2: Find the total amount of honey produced by the colony in 10 days.
Total amount of honey produced = Amount of honey produced in one day × Number of days
Total amount of honey produced = 9201 grams × 10 days
Total amount of honey produced = 92010 grams

Therefore, with the new daily production rate of 9201 grams, the colony produces 92010 grams of honey in 10 days.

### Answer: 92010

Expected answer: 92010

Correct? Yes

🔗 Problem

Problem: A factory manufactures 591 pairs of ice skates in a day. If they operate for 3 days straight, how many pairs of ice skates do they produce?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of ice skates produced in 3 days.

Given information:
- The factory manufactures 591 pairs of ice skates in a day.
- The factory operates for 3 days straight.

Step 1: Find the number of pairs of ice skates produced in one day.
Number of pairs of ice skates produced in one day = 591 pairs

Step 2: Find the total number of pairs of ice skates produced in 3 days.
Total number of pairs of ice skates produced in 3 days = Number of pairs of ice skates produced in one day × Number of days
Total number of pairs of ice skates produced in 3 days = 591 pairs × 3 days
Total number of pairs of ice skates produced in 3 days = 1773 pairs

Therefore, the factory produces 1773 pairs of ice skates in 3 days of operation.

### Answer: 1773

Expected answer: 1773

Correct? Yes

🔗 Follow-up

Problem: They now intend to increase their production and manufacture 1924 pairs of ice skates in a day. If they operate for the same 3 days, how many pairs of ice skates will they produce then?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of ice skates produced in 3 days with the increased production rate.

Given information:
- The factory now manufactures 1924 pairs of ice skates in a day.
- The factory operates for 3 days.

Step 1: Find the number of pairs of ice skates produced in one day with the increased production rate.
Number of pairs of ice skates produced in one day = 1924 pairs

Step 2: Find the total number of pairs of ice skates produced in 3 days with the increased production rate.
Total number of pairs of ice skates produced in 3 days = Number of pairs of ice skates produced in one day × Number of days
Total number of pairs of ice skates produced in 3 days = 1924 pairs × 3 days
Total number of pairs of ice skates produced in 3 days = 5772 pairs

Therefore, with the increased production rate, the factory will produce 5772 pairs of ice skates in 3 days of operation.

### Answer: 5772

Expected answer: 5772

Correct? Yes

🔗 Problem

Problem: A certain region has 1381 species of frogs. If each species has an average of 18 unique characteristics, how many unique characteristics can be found across all frog species in the region?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of unique characteristics across all frog species in the region.

Given information:
- The region has 1381 species of frogs.
- Each species has an average of 18 unique characteristics.

Step 1: Find the total number of unique characteristics across all frog species.
Total number of unique characteristics = Number of species × Average number of unique characteristics per species
Total number of unique characteristics = 1381 × 18
Total number of unique characteristics = 24,858

Therefore, across all frog species in the region, there can be found 24,858 unique characteristics.

### Answer: 24,858

Expected answer: 24858

Correct? Yes

🔗 Follow-up

Problem: The researchers realized they made an error and there are actually 878 species of frogs in the region instead of 1381. How many unique characteristics are there across all species of frogs in the region when considering this new number?

Claude-3 Sonnet:

Okay, let's recalculate the total number of unique characteristics across all frog species in the region with the updated number of species.

Given information:
- The region has 878 species of frogs (updated from 1381).
- Each species has an average of 18 unique characteristics.

Step 1: Find the total number of unique characteristics across all frog species.
Total number of unique characteristics = Number of species × Average number of unique characteristics per species
Total number of unique characteristics = 878 × 18
Total number of unique characteristics = 15,804

Therefore, with the updated number of 878 species of frogs in the region, there can be found 15,804 unique characteristics across all species.

### Answer: 15,804

Expected answer: 15804

Correct? Yes

🔗 Problem

Problem: A pirate treasure chest contains 935 gold coins. If there were 93 identical treasure chests, how many gold coins would there be in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of gold coins in all the treasure chests.

Given information:
- One treasure chest contains 935 gold coins.
- There are 93 identical treasure chests.

Step 1: Find the number of gold coins in one treasure chest.
Number of gold coins in one treasure chest = 935

Step 2: Find the total number of gold coins in all the treasure chests.
Total number of gold coins = Number of gold coins in one treasure chest × Number of treasure chests
Total number of gold coins = 935 × 93
Total number of gold coins = 86,955

Therefore, there would be a total of 86,955 gold coins in all the 93 treasure chests.

### Answer: 86,955

Expected answer: 86955

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, suppose that instead of 935 gold coins, each treasure chest contained 692 gold coins. How many gold coins would there be in total if there were still 93 identical treasure chests?

Claude-3 Sonnet:

In this scenario, we need to find the total number of gold coins in all the treasure chests, given that each treasure chest contains 692 gold coins and there are 93 identical treasure chests.

Given information:
- Each treasure chest contains 692 gold coins.
- There are 93 identical treasure chests.

Step 1: Find the number of gold coins in one treasure chest.
Number of gold coins in one treasure chest = 692

Step 2: Find the total number of gold coins in all the treasure chests.
Total number of gold coins = Number of gold coins in one treasure chest × Number of treasure chests
Total number of gold coins = 692 × 93
Total number of gold coins = 64,356

Therefore, if each treasure chest contained 692 gold coins and there were 93 identical treasure chests, there would be a total of 64,356 gold coins.

### Answer: 64,356

Expected answer: 64356

Correct? Yes

🔗 Problem

Problem: A bed manufacturing company produces 4838 beds in a day. If the company operates 6 days a week, how many beds does it produce in a week?

Claude-3 Sonnet:

To solve this problem, we need to find the number of beds produced in a week by multiplying the number of beds produced in a day by the number of days the company operates in a week.

Given information:
- The company produces 4838 beds in a day.
- The company operates 6 days a week.

Step 1: Find the number of beds produced in a week.
Number of beds produced in a week = Number of beds produced in a day × Number of days the company operates in a week
Number of beds produced in a week = 4838 × 6
Number of beds produced in a week = 29,028

Therefore, the bed manufacturing company produces 29,028 beds in a week.

### Answer: 29,028

Expected answer: 29028

Correct? Yes

🔗 Follow-up

Problem: Suppose the bed manufacturing company improves its production capabilities and can now produce 7776 beds in a day. Given that the company still operates 6 days a week, how many beds would it be able to produce in a week with this new production rate?

Claude-3 Sonnet:

To solve this problem, we need to find the number of beds produced in a week with the new production rate by multiplying the number of beds produced in a day by the number of days the company operates in a week.

Given information:
- The company can now produce 7776 beds in a day.
- The company still operates 6 days a week.

Step 1: Find the number of beds produced in a week with the new production rate.
Number of beds produced in a week = Number of beds produced in a day × Number of days the company operates in a week
Number of beds produced in a week = 7776 × 6
Number of beds produced in a week = 46,656

Therefore, with the new production rate, the bed manufacturing company would be able to produce 46,656 beds in a week.

### Answer: 46,656

Expected answer: 46656

Correct? Yes

🔗 Problem

Problem: A designer needs 806 yards of fabric to make one dress. If they want to make 3 dresses, how many yards of fabric do they need in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of fabric required for 3 dresses.

Given information:
- The designer needs 806 yards of fabric to make one dress.
- The designer wants to make 3 dresses.

Step 1: Find the amount of fabric required for 3 dresses.
Amount of fabric required for one dress × Number of dresses = Total amount of fabric required
806 yards × 3 = 2,418 yards

Therefore, the designer needs 2,418 yards of fabric in total to make 3 dresses.

### Answer: 2,418

Expected answer: 2418

Correct? Yes

🔗 Follow-up

Problem: The designer now aims to make a more complex dress design that requires 7411 yards of fabric for one dress. If they want to make 3 of these dresses, how many yards of fabric will they need?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of fabric required for 3 dresses of the more complex design.

Given information:
- The designer needs 7411 yards of fabric to make one dress of the more complex design.
- The designer wants to make 3 dresses of the more complex design.

Step 1: Find the amount of fabric required for 3 dresses of the more complex design.
Amount of fabric required for one dress × Number of dresses = Total amount of fabric required
7411 yards × 3 = 22,233 yards

Therefore, the designer needs 22,233 yards of fabric in total to make 3 dresses of the more complex design.

### Answer: 22,233

Expected answer: 22233

Correct? Yes

🔗 Problem

Problem: An astronaut at a space station on a long-duration mission takes 1907 breaths per hour. Find out the total number of breaths he takes in a day (24 hours).

Claude-3 Sonnet:

To solve this problem, we need to find the number of breaths the astronaut takes in one hour and then multiply it by the number of hours in a day.

Given information:
- The astronaut takes 1907 breaths per hour.
- We need to find the total number of breaths in a day (24 hours).

Step 1: Find the number of breaths the astronaut takes in one hour.
Number of breaths per hour = 1907

Step 2: Find the number of breaths the astronaut takes in a day (24 hours).
Number of breaths in a day = Number of breaths per hour × Number of hours in a day
Number of breaths in a day = 1907 × 24
Number of breaths in a day = 45,768

Therefore, the astronaut takes a total of 45,768 breaths in a day (24 hours) at the space station.

### Answer: 45768

Expected answer: 45768

Correct? Yes

🔗 Follow-up

Problem: In the same scenario, if the astronaut instead takes 169 breaths per hour, how many breaths would he take in a day (24 hours)?

Claude-3 Sonnet:

To solve this problem, we need to find the number of breaths the astronaut takes in one hour and then multiply it by the number of hours in a day.

Given information:
- The astronaut takes 169 breaths per hour.
- We need to find the total number of breaths in a day (24 hours).

Step 1: Find the number of breaths the astronaut takes in one hour.
Number of breaths per hour = 169

Step 2: Find the number of breaths the astronaut takes in a day (24 hours).
Number of breaths in a day = Number of breaths per hour × Number of hours in a day
Number of breaths in a day = 169 × 24
Number of breaths in a day = 4,056

Therefore, if the astronaut takes 169 breaths per hour, he would take a total of 4,056 breaths in a day (24 hours) at the space station.

### Answer: 4056

Expected answer: 4056

Correct? Yes

🔗 Problem

Problem: If you earned 817 dollars every week for 109 weeks, how much money would you have earned in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money earned by multiplying the weekly earnings by the number of weeks.

Given information:
- Weekly earnings = $817
- Number of weeks = 109

Total amount of money earned = Weekly earnings × Number of weeks
Total amount of money earned = $817 × 109
Total amount of money earned = $89,053

Therefore, if you earned $817 every week for 109 weeks, you would have earned a total of $89,053.

### Answer: $89,053

Expected answer: 89053

Correct? Yes

🔗 Follow-up

Problem: If instead you earned 597 dollars every week for the same period of 109 weeks, how much money would you have earned in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money earned by multiplying the weekly earnings by the number of weeks.

Given information:
- Weekly earnings = $597
- Number of weeks = 109

Total amount of money earned = Weekly earnings × Number of weeks
Total amount of money earned = $597 × 109
Total amount of money earned = $65,073

Therefore, if you earned $597 every week for 109 weeks, you would have earned a total of $65,073.

### Answer: $65,073

Expected answer: 65073

Correct? Yes

🔗 Problem

Problem: A sandwich shop sells 832 sandwiches each day. How many sandwiches do they sell in 103 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of sandwiches sold in 103 days.

Given information:
- The sandwich shop sells 832 sandwiches each day.
- We need to find the number of sandwiches sold in 103 days.

Step 1: Find the number of sandwiches sold in 103 days.
Number of sandwiches sold in 103 days = Number of sandwiches sold per day × Number of days
Number of sandwiches sold in 103 days = 832 × 103
Number of sandwiches sold in 103 days = 85,696

Therefore, the sandwich shop sells 85,696 sandwiches in 103 days.

### Answer: 85,696

Expected answer: 85696

Correct? Yes

🔗 Follow-up

Problem: If the sandwich shop decided to limit their daily sales and only sold 832 sandwiches for 15 days instead of 103 days, how many sandwiches would it sell in that newly restricted time frame?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of sandwiches sold in 15 days with the daily sales limit of 832 sandwiches.

Given information:
- The sandwich shop sells 832 sandwiches each day.
- The sandwich shop will sell sandwiches for 15 days with the daily sales limit.

Step 1: Find the number of sandwiches sold in 15 days with the daily sales limit.
Number of sandwiches sold in 15 days = Number of sandwiches sold per day × Number of days
Number of sandwiches sold in 15 days = 832 × 15
Number of sandwiches sold in 15 days = 12,480

Therefore, if the sandwich shop decided to limit their daily sales and only sold 832 sandwiches for 15 days, it would sell 12,480 sandwiches in that newly restricted time frame.

### Answer: 12,480

Expected answer: 12480

Correct? Yes

🔗 Problem

Problem: If one monkey can peel 1416 bananas in one hour, how many bananas would ten monkeys be able to peel in the same amount of time?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bananas one monkey can peel in one hour and then multiply it by the number of monkeys.

Given information:
- One monkey can peel 1416 bananas in one hour.
- We need to find the number of bananas ten monkeys can peel in one hour.

Step 1: Find the number of bananas one monkey can peel in one hour.
Number of bananas one monkey can peel in one hour = 1416 bananas

Step 2: Find the number of bananas ten monkeys can peel in one hour.
Number of bananas ten monkeys can peel in one hour = Number of bananas one monkey can peel in one hour × Number of monkeys
Number of bananas ten monkeys can peel in one hour = 1416 bananas × 10 monkeys
Number of bananas ten monkeys can peel in one hour = 14160 bananas

Therefore, ten monkeys would be able to peel 14160 bananas in one hour.

### Answer: 14160

Expected answer: 14160

Correct? Yes

🔗 Follow-up

Problem: If each of the same ten monkeys from the previous question could peel 4876 bananas in an hour instead, how many bananas could they peel in total?

Claude-3 Sonnet:

In this problem, we need to find the total number of bananas that ten monkeys can peel in one hour, given that each monkey can peel 4876 bananas in an hour.

Given information:
- Each monkey can peel 4876 bananas in one hour.
- There are ten monkeys.

Step 1: Find the number of bananas one monkey can peel in one hour.
Number of bananas one monkey can peel in one hour = 4876 bananas

Step 2: Find the number of bananas ten monkeys can peel in one hour.
Number of bananas ten monkeys can peel in one hour = Number of bananas one monkey can peel in one hour × Number of monkeys
Number of bananas ten monkeys can peel in one hour = 4876 bananas × 10 monkeys
Number of bananas ten monkeys can peel in one hour = 48760 bananas

Therefore, if each of the same ten monkeys could peel 4876 bananas in an hour, they could peel a total of 48760 bananas in one hour.

### Answer: 48760

Expected answer: 48760

Correct? Yes

🔗 Problem

Problem: A dragon has 9996 scales on one side of its body. If the dragon has scales on both sides and the tail with the same amount, a total of 5 parts. How many scales does the dragon have in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of scales on the dragon's body by multiplying the number of scales on one side by the total number of parts.

Given information:
- The dragon has 9996 scales on one side of its body.
- The dragon has scales on both sides and the tail, which makes a total of 5 parts.

Step 1: Find the number of scales on one part (one side of the body or the tail).
Number of scales on one part = 9996 scales

Step 2: Find the total number of scales on the dragon's body by multiplying the number of scales on one part by the total number of parts.
Total number of scales = Number of scales on one part × Total number of parts
Total number of scales = 9996 scales × 5 parts
Total number of scales = 49980 scales

Therefore, the dragon has a total of 49980 scales on its body.

### Answer: 49980

Expected answer: 49980

Correct? Yes

🔗 Follow-up

Problem: What if instead of 9996 scales, the dragon has 904 scales on one side of its body? Given that the dragon still has scales on both sides and the tail, a total of 5 parts, how many scales does this dragon have in total?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- The dragon has 904 scales on one side of its body.
- The dragon has scales on both sides and the tail, which makes a total of 5 parts.

Step 1: Find the number of scales on one part (one side of the body or the tail).
Number of scales on one part = 904 scales

Step 2: Find the total number of scales on the dragon's body by multiplying the number of scales on one part by the total number of parts.
Total number of scales = Number of scales on one part × Total number of parts
Total number of scales = 904 scales × 5 parts
Total number of scales = 4520 scales

Therefore, the dragon has a total of 4520 scales on its body.

### Answer: 4520

Expected answer: 4520

Correct? Yes

🔗 Problem

Problem: A sunglasses manufacturer makes 456 pairs of sunglasses per day. If there is a continuous production for 89 days, how many pairs of sunglasses did the manufacturer produce?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of sunglasses produced by multiplying the daily production rate with the number of days of continuous production.

Given information:
- The sunglasses manufacturer makes 456 pairs of sunglasses per day.
- There is a continuous production for 89 days.

Step 1: Find the total number of pairs of sunglasses produced.
Total pairs of sunglasses produced = Daily production rate × Number of days of continuous production
Total pairs of sunglasses produced = 456 pairs × 89 days
Total pairs of sunglasses produced = 40,584 pairs

Therefore, the sunglasses manufacturer produced 40,584 pairs of sunglasses in 89 days of continuous production.

### Answer: 40,584

Expected answer: 40584

Correct? Yes

🔗 Follow-up

Problem: Suppose that due to a shortage in material, the sunglasses manufacturer can now only make 188 pairs of sunglasses per day. If there is still a continuous production for 89 days, how many pairs of sunglasses will the manufacturer produce now under these new conditions?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of sunglasses produced by multiplying the new daily production rate with the number of days of continuous production.

Given information:
- The sunglasses manufacturer can now make 188 pairs of sunglasses per day due to a shortage in material.
- There is still a continuous production for 89 days.

Step 1: Find the total number of pairs of sunglasses produced under the new conditions.
Total pairs of sunglasses produced = New daily production rate × Number of days of continuous production
Total pairs of sunglasses produced = 188 pairs × 89 days
Total pairs of sunglasses produced = 16,732 pairs

Therefore, under the new conditions of a daily production rate of 188 pairs of sunglasses and a continuous production for 89 days, the sunglasses manufacturer will produce 16,732 pairs of sunglasses.

### Answer: 16,732

Expected answer: 16732

Correct? Yes

🔗 Problem

Problem: A doctor has 19 patients in a day and each visit lasts 1943 seconds. How much time in seconds does the doctor spend seeing patients in one day?

Claude-3 Sonnet:

To solve this problem, we need to find the total time the doctor spends with all 19 patients in seconds.

Given information:
- The doctor has 19 patients in a day.
- Each visit lasts 1943 seconds.

Step 1: Find the time spent with one patient.
Time spent with one patient = 1943 seconds

Step 2: Find the total time spent with all 19 patients.
Total time spent with all patients = Time spent with one patient × Number of patients
Total time spent with all patients = 1943 seconds × 19 patients
Total time spent with all patients = 36,917 seconds

Therefore, the doctor spends 36,917 seconds seeing patients in one day.

### Answer: 36917

Expected answer: 36917

Correct? Yes

🔗 Follow-up

Problem: If instead of 1943 seconds, each patient's visit lasts 2822 seconds, how much time in seconds does the doctor spend seeing patients in one day?

Claude-3 Sonnet:

To solve this problem, we need to find the total time the doctor spends with all 19 patients in seconds, given that each visit lasts 2822 seconds.

Given information:
- The doctor has 19 patients in a day.
- Each visit lasts 2822 seconds.

Step 1: Find the time spent with one patient.
Time spent with one patient = 2822 seconds

Step 2: Find the total time spent with all 19 patients.
Total time spent with all patients = Time spent with one patient × Number of patients
Total time spent with all patients = 2822 seconds × 19 patients
Total time spent with all patients = 53,618 seconds

Therefore, if each patient's visit lasts 2822 seconds, the doctor spends 53,618 seconds seeing patients in one day.

### Answer: 53618

Expected answer: 53618

Correct? Yes

🔗 Problem

Problem: A farmer has 600 apple trees in his farm. Each apple tree produces 123 apples in a fruiting season. How many apples does the farmer get in one season?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of apples produced by all the apple trees in the farm.

Given information:
- The farmer has 600 apple trees in his farm.
- Each apple tree produces 123 apples in a fruiting season.

Step 1: Find the number of apples produced by one apple tree.
Number of apples produced by one apple tree = 123 apples

Step 2: Find the total number of apples produced by all the apple trees.
Total number of apples produced = Number of apple trees × Number of apples produced by one apple tree
Total number of apples produced = 600 × 123 apples
Total number of apples produced = 73,800 apples

Therefore, the farmer gets 73,800 apples in one fruiting season.

### Answer: 73,800

Expected answer: 73800

Correct? Yes

🔗 Follow-up

Problem: The same farmer decided to plant 519 pear trees on a different part of his farm. If each pear tree produces 123 pears in a fruiting season, how many pears does the farmer get in one season?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pears produced by all the pear trees in the farm.

Given information:
- The farmer planted 519 pear trees.
- Each pear tree produces 123 pears in a fruiting season.

Step 1: Find the number of pears produced by one pear tree.
Number of pears produced by one pear tree = 123 pears

Step 2: Find the total number of pears produced by all the pear trees.
Total number of pears produced = Number of pear trees × Number of pears produced by one pear tree
Total number of pears produced = 519 × 123 pears
Total number of pears produced = 63,837 pears

Therefore, the farmer gets 63,837 pears in one fruiting season from the pear trees.

### Answer: 63,837

Expected answer: 63837

Correct? Yes

🔗 Problem

Problem: A giraffe spends approximately 15 hours a day eating. If a single hour of eating requires them to consume 5490 leaves, how many leaves will a giraffe eat in one day?

Claude-3 Sonnet:

To solve this problem, we need to find the number of leaves a giraffe eats in one day.

Given information:
- A giraffe spends approximately 15 hours a day eating.
- A single hour of eating requires a giraffe to consume 5490 leaves.

Step 1: Find the number of leaves a giraffe eats in one hour.
Number of leaves eaten in one hour = 5490 leaves

Step 2: Find the number of leaves a giraffe eats in 15 hours (one day).
Number of leaves eaten in one day = Number of leaves eaten in one hour × Number of hours spent eating per day
Number of leaves eaten in one day = 5490 leaves × 15 hours
Number of leaves eaten in one day = 82,350 leaves

Therefore, a giraffe will eat 82,350 leaves in one day.

### Answer: 82,350

Expected answer: 82350

Correct? Yes

🔗 Problem

Problem: A marshmallow company can produce 4116 marshmallows in one hour. If the company operates for 3 hours, how many marshmallows will they produce?

Claude-3 Sonnet:

To solve this problem, we need to find the number of marshmallows produced in one hour and then multiply it by the number of hours the company operates.

Given information:
- The marshmallow company can produce 4116 marshmallows in one hour.
- The company operates for 3 hours.

Step 1: Find the number of marshmallows produced in one hour.
Number of marshmallows produced in one hour = 4116 marshmallows

Step 2: Find the number of marshmallows produced in 3 hours.
Number of marshmallows produced in 3 hours = Number of marshmallows produced in one hour × Number of hours
Number of marshmallows produced in 3 hours = 4116 marshmallows × 3 hours
Number of marshmallows produced in 3 hours = 12348 marshmallows

Therefore, the marshmallow company will produce 12348 marshmallows in 3 hours.

### Answer: 12348

Expected answer: 12348

Correct? Yes

🔗 Follow-up

Problem: The marshmallow company found a way to increase their production to 4432 marshmallows in one hour. If the company still operates for 3 hours, how many marshmallows will they now produce?

Claude-3 Sonnet:

To solve this problem, we need to find the number of marshmallows produced in one hour with the increased production rate and then multiply it by the number of hours the company operates.

Given information:
- The marshmallow company can now produce 4432 marshmallows in one hour.
- The company still operates for 3 hours.

Step 1: Find the number of marshmallows produced in one hour with the increased production rate.
Number of marshmallows produced in one hour = 4432 marshmallows

Step 2: Find the number of marshmallows produced in 3 hours with the increased production rate.
Number of marshmallows produced in 3 hours = Number of marshmallows produced in one hour × Number of hours
Number of marshmallows produced in 3 hours = 4432 marshmallows × 3 hours
Number of marshmallows produced in 3 hours = 13296 marshmallows

Therefore, with the increased production rate, the marshmallow company will produce 13296 marshmallows in 3 hours.

### Answer: 13296

Expected answer: 13296

Correct? Yes

🔗 Problem

Problem: Each cloud in a particular region weighs an average of 2885 kg. If there are about 29 of such clouds in the sky at once, how much total weight do they represent?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of all the clouds in the sky.

Given information:
- Each cloud weighs an average of 2885 kg.
- There are approximately 29 clouds in the sky.

Step 1: Find the weight of a single cloud.
Weight of a single cloud = 2885 kg

Step 2: Find the total weight of all the clouds.
Total weight of all the clouds = Weight of a single cloud × Number of clouds
Total weight of all the clouds = 2885 kg × 29
Total weight of all the clouds = 83,665 kg

Therefore, the total weight represented by the 29 clouds in the sky is 83,665 kg.

### Answer: 83,665 kg

Expected answer: 83665

Correct? Yes

🔗 Follow-up

Problem: Each cloud in a particular region originally was thought to weigh an average of 2885 kg. New data corrected this estimate to an average weight of 1926 kg per cloud. If there are still about 29 such clouds in the sky at once, how much total weight do they now represent?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of all the clouds in the sky using the corrected average weight.

Given information:
- The corrected average weight of each cloud is 1926 kg.
- There are approximately 29 clouds in the sky.

Step 1: Find the weight of a single cloud using the corrected average weight.
Weight of a single cloud = 1926 kg

Step 2: Find the total weight of all the clouds.
Total weight of all the clouds = Weight of a single cloud × Number of clouds
Total weight of all the clouds = 1926 kg × 29
Total weight of all the clouds = 55,854 kg

Therefore, with the corrected average weight of 1926 kg per cloud, the 29 clouds in the sky now represent a total weight of 55,854 kg.

### Answer: 55,854 kg

Expected answer: 55854

Correct? Yes

🔗 Problem

Problem: In a fairyland, a fairy can spread magic dust 43 times a day. Each time, she uses up 2230 tiny sparkling magic dust particles. How many particles does she use up in one day?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of magic dust particles the fairy uses in a day.

Given information:
- The fairy can spread magic dust 43 times a day.
- Each time the fairy spreads magic dust, she uses up 2230 tiny sparkling magic dust particles.

Step 1: Find the number of magic dust particles the fairy uses each time she spreads magic dust.
Number of magic dust particles used each time = 2230 particles

Step 2: Find the total number of magic dust particles the fairy uses in a day.
Total number of magic dust particles used in a day = Number of times the fairy spreads magic dust × Number of magic dust particles used each time
Total number of magic dust particles used in a day = 43 × 2230 particles
Total number of magic dust particles used in a day = 95,890 particles

Therefore, the fairy uses up 95,890 tiny sparkling magic dust particles in one day.

### Answer: 95890

Expected answer: 95890

Correct? Yes

🔗 Problem

Problem: A camera making factory produces 2818 cameras in a day. If the factory operates for 27 days, how many cameras were produced in the 27 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cameras produced in 27 days.

Given information:
- The camera factory produces 2818 cameras in a day.
- The factory operates for 27 days.

Step 1: Find the number of cameras produced in 27 days.
Number of cameras produced in 27 days = Number of cameras produced in a day × Number of days
Number of cameras produced in 27 days = 2818 × 27
Number of cameras produced in 27 days = 76,086

Therefore, the camera factory produced 76,086 cameras in 27 days.

### Answer: 76,086

Expected answer: 76086

Correct? Yes

🔗 Follow-up

Problem: Suppose that the camera factory had difficulty in sourcing components and was only able to produce 2795 cameras in a day instead of 2818. If the factory still operates for 27 days, how many cameras will then be produced in these 27 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cameras produced in 27 days with the reduced daily production rate.

Given information:
- The camera factory produces 2795 cameras in a day (reduced from 2818).
- The factory operates for 27 days.

Step 1: Find the number of cameras produced in 27 days with the reduced daily production rate.
Number of cameras produced in 27 days = Number of cameras produced in a day × Number of days
Number of cameras produced in 27 days = 2795 × 27
Number of cameras produced in 27 days = 75,465

Therefore, with the reduced daily production rate of 2795 cameras, the camera factory will produce 75,465 cameras in 27 days.

### Answer: 75,465

Expected answer: 75465

Correct? Yes

🔗 Problem

Problem: On a wildlife reservation, there are 177 elephants. Each elephant consumes 326 kg of food each day. How many kilograms of food do the elephants consume in total in a single day?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of food consumed by all the elephants in a single day.

Given information:
- There are 177 elephants on the wildlife reservation.
- Each elephant consumes 326 kg of food each day.

Step 1: Find the amount of food consumed by a single elephant in a day.
Amount of food consumed by a single elephant = 326 kg

Step 2: Find the total amount of food consumed by all the elephants in a day.
Total amount of food consumed = Number of elephants × Amount of food consumed by a single elephant
Total amount of food consumed = 177 × 326 kg
Total amount of food consumed = 57,702 kg

Therefore, the elephants consume a total of 57,702 kg of food in a single day on the wildlife reservation.

### Answer: 57,702

Expected answer: 57702

Correct? Yes

🔗 Follow-up

Problem: If instead, each elephant consumes 127 kg of food each day, how many kilograms of food do the elephants consume in total in a single day?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of food consumed by all the elephants in a single day, given that each elephant consumes 127 kg of food per day.

Given information:
- There are 177 elephants on the wildlife reservation.
- Each elephant consumes 127 kg of food each day.

Step 1: Find the amount of food consumed by a single elephant in a day.
Amount of food consumed by a single elephant = 127 kg

Step 2: Find the total amount of food consumed by all the elephants in a day.
Total amount of food consumed = Number of elephants × Amount of food consumed by a single elephant
Total amount of food consumed = 177 × 127 kg
Total amount of food consumed = 22,479 kg

Therefore, if each elephant consumes 127 kg of food each day, the elephants consume a total of 22,479 kg of food in a single day on the wildlife reservation.

### Answer: 22,479

Expected answer: 22479

Correct? Yes

🔗 Problem

Problem: A cloud can hold about 1800 liters of water per cubic meter. If a certain cloud has an approximate volume of 20 cubic meters, how many liters of water can this cloud hold?

Claude-3 Sonnet:

To solve this problem, we need to find the total volume of the cloud in cubic meters and then multiply it by the amount of water a cloud can hold per cubic meter.

Given information:
- A cloud can hold about 1800 liters of water per cubic meter.
- The volume of the certain cloud is approximately 20 cubic meters.

Step 1: Find the total volume of the cloud in cubic meters.
Total volume of the cloud = 20 cubic meters

Step 2: Calculate the amount of water the cloud can hold by multiplying the total volume by the amount of water a cloud can hold per cubic meter.
Amount of water the cloud can hold = Total volume of the cloud × Amount of water a cloud can hold per cubic meter
Amount of water the cloud can hold = 20 cubic meters × 1800 liters per cubic meter
Amount of water the cloud can hold = 36,000 liters

Therefore, the cloud with an approximate volume of 20 cubic meters can hold 36,000 liters of water.

### Answer: 36000

Expected answer: 36000

Correct? Yes

🔗 Follow-up

Problem: Assuming the same cloud from the previous problem now holds only about 830 liters of water per cubic meter. How many liters of water would this cloud hold with the same volume of 20 cubic meters?

Claude-3 Sonnet:

In the previous problem, we found that the cloud has an approximate volume of 20 cubic meters.

Given information:
- The cloud can hold about 830 liters of water per cubic meter.
- The volume of the cloud is 20 cubic meters.

To find the amount of water the cloud can hold, we need to multiply the volume of the cloud by the amount of water it can hold per cubic meter.

Step 1: Find the volume of the cloud in cubic meters.
Volume of the cloud = 20 cubic meters

Step 2: Calculate the amount of water the cloud can hold by multiplying the volume by the amount of water it can hold per cubic meter.
Amount of water the cloud can hold = Volume of the cloud × Amount of water it can hold per cubic meter
Amount of water the cloud can hold = 20 cubic meters × 830 liters per cubic meter
Amount of water the cloud can hold = 16,600 liters

Therefore, if the cloud can hold about 830 liters of water per cubic meter and has a volume of 20 cubic meters, it can hold 16,600 liters of water.

### Answer: 16600

Expected answer: 16600

Correct? Yes

🔗 Problem

Problem: A bakery sells each cake for $1562. If they sold 43 cakes in a day, how much did they earn?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue earned by the bakery from selling 43 cakes.

Given information:
- The bakery sells each cake for $1562.
- The bakery sold 43 cakes in a day.

Step 1: Find the revenue from selling one cake.
Revenue from one cake = $1562

Step 2: Find the total revenue from selling 43 cakes.
Total revenue = Revenue from one cake × Number of cakes sold
Total revenue = $1562 × 43
Total revenue = $67,166

Therefore, the bakery earned $67,166 from selling 43 cakes in a day.

### Answer: $67,166

Expected answer: 67166

Correct? Yes

🔗 Follow-up

Problem: In the same bakery, there is another kind of cake that sells for $527. If they also managed to sell 43 of these cakes in a day, how much would they make from these cakes?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue earned by the bakery from selling 43 cakes of the second kind.

Given information:
- The bakery sells the second kind of cake for $527 each.
- The bakery sold 43 of these cakes in a day.

Step 1: Find the revenue from selling one cake of the second kind.
Revenue from one cake = $527

Step 2: Find the total revenue from selling 43 cakes of the second kind.
Total revenue = Revenue from one cake × Number of cakes sold
Total revenue = $527 × 43
Total revenue = $22,661

Therefore, the bakery would earn $22,661 from selling 43 cakes of the second kind in a day.

### Answer: $22,661

Expected answer: 22661

Correct? Yes

🔗 Problem

Problem: A particular kind of balloon can lift 34 grams. If a large experiment requires 2452 of these balloons to lift it, how many grams can the experiment weigh in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total lifting capacity of the balloons and then convert it to grams.

Given information:
- One balloon can lift 34 grams.
- The experiment requires 2452 balloons to lift it.

Step 1: Find the total lifting capacity of the balloons.
Total lifting capacity = Number of balloons × Lifting capacity of one balloon
Total lifting capacity = 2452 × 34 grams
Total lifting capacity = 83,368 grams

Therefore, the experiment can weigh up to 83,368 grams in total.

### Answer: 83368

Expected answer: 83368

Correct? Yes

🔗 Follow-up

Problem: In a similar scenario, if a smaller experiment only requires 2257 of these balloons to lift it instead, how many grams can this smaller experiment weigh in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total lifting capacity of the balloons for the smaller experiment and then convert it to grams.

Given information:
- One balloon can lift 34 grams.
- The smaller experiment requires 2257 balloons to lift it.

Step 1: Find the total lifting capacity of the balloons for the smaller experiment.
Total lifting capacity = Number of balloons × Lifting capacity of one balloon
Total lifting capacity = 2257 × 34 grams
Total lifting capacity = 76,738 grams

Therefore, the smaller experiment can weigh up to 76,738 grams in total.

### Answer: 76738

Expected answer: 76738

Correct? Yes

🔗 Problem

Problem: A roller skate manufacturing company machines 6857 sets of wheels per day. If the full production run lasted for 10 days, how many sets of wheels were made?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of sets of wheels produced in 10 days.

Given information:
- The roller skate manufacturing company machines 6857 sets of wheels per day.
- The full production run lasted for 10 days.

Step 1: Find the number of sets of wheels produced in 1 day.
Number of sets of wheels produced in 1 day = 6857

Step 2: Find the total number of sets of wheels produced in 10 days.
Total number of sets of wheels produced = Number of sets of wheels produced in 1 day × Number of days
Total number of sets of wheels produced = 6857 × 10
Total number of sets of wheels produced = 68570

Therefore, the roller skate manufacturing company made 68570 sets of wheels during the full production run of 10 days.

### Answer: 68570

Expected answer: 68570

Correct? Yes

🔗 Follow-up

Problem: If instead the roller skate manufacturing company produced 4400 sets of wheels per day and continued this for 10 days, how many sets of wheels were made under this new condition?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of sets of wheels produced in 10 days with the new production rate.

Given information:
- The roller skate manufacturing company produces 4400 sets of wheels per day.
- The production run lasted for 10 days.

Step 1: Find the number of sets of wheels produced in 1 day.
Number of sets of wheels produced in 1 day = 4400

Step 2: Find the total number of sets of wheels produced in 10 days.
Total number of sets of wheels produced = Number of sets of wheels produced in 1 day × Number of days
Total number of sets of wheels produced = 4400 × 10
Total number of sets of wheels produced = 44000

Therefore, under the new condition where the roller skate manufacturing company produced 4400 sets of wheels per day for 10 days, they made a total of 44000 sets of wheels.

### Answer: 44000

Expected answer: 44000

Correct? Yes

🔗 Problem

Problem: A designer jacket maker produces 25 jackets per day. If he continues this production rate for 1333 days, how many jackets would he have produced in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of jackets produced by multiplying the daily production rate with the number of days.

Given information:
- The designer jacket maker produces 25 jackets per day.
- The production rate continues for 1333 days.

Step 1: Find the total number of jackets produced.
Total number of jackets produced = Daily production rate × Number of days
Total number of jackets produced = 25 jackets × 1333 days
Total number of jackets produced = 33,325 jackets

Therefore, if the designer jacket maker continues the production rate of 25 jackets per day for 1333 days, he would have produced a total of 33,325 jackets.

### Answer: 33,325

Expected answer: 33325

Correct? Yes

🔗 Follow-up

Problem: If instead of 1333 days, the designer jacket maker continued his production rate of 25 jackets per day over 2353 days, how many jackets would he have produced then?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of jackets produced by multiplying the daily production rate with the new number of days.

Given information:
- The designer jacket maker produces 25 jackets per day.
- The production rate continues for 2353 days.

Step 1: Find the total number of jackets produced.
Total number of jackets produced = Daily production rate × Number of days
Total number of jackets produced = 25 jackets × 2353 days
Total number of jackets produced = 58,825 jackets

Therefore, if the designer jacket maker continues the production rate of 25 jackets per day for 2353 days, he would have produced a total of 58,825 jackets.

### Answer: 58,825

Expected answer: 58825

Correct? Yes

🔗 Problem

Problem: A factory can produce 46 bottles per minute. If it runs continuously for 1337 minutes, how many bottles are produced in total?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bottles produced in 1337 minutes.

Given information:
- The factory can produce 46 bottles per minute.
- The factory runs continuously for 1337 minutes.

Step 1: Find the number of bottles produced in 1337 minutes.
Number of bottles produced = Production rate per minute × Number of minutes
Number of bottles produced = 46 bottles/minute × 1337 minutes
Number of bottles produced = 61,502 bottles

Therefore, the factory will produce a total of 61,502 bottles in 1337 minutes.

### Answer: 61,502

Expected answer: 61502

Correct? Yes

🔗 Follow-up

Problem: What if the factory ran for a longer time? If the factory was producing 46 bottles per minute and it ran continuously for 2047 minutes, then how many bottles would it have produced in total?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bottles produced in 2047 minutes.

Given information:
- The factory can produce 46 bottles per minute.
- The factory runs continuously for 2047 minutes.

Step 1: Find the number of bottles produced in 2047 minutes.
Number of bottles produced = Production rate per minute × Number of minutes
Number of bottles produced = 46 bottles/minute × 2047 minutes
Number of bottles produced = 94,162 bottles

Therefore, if the factory ran continuously for 2047 minutes while producing 46 bottles per minute, it would have produced a total of 94,162 bottles.

### Answer: 94,162

Expected answer: 94162

Correct? Yes

🔗 Problem

Problem: A hat company manufactures an average of 694 hats each day. After keeping the machines running for 107 continuous days, how many hats were produced?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of hats produced in 107 days.

Given information:
- The hat company manufactures an average of 694 hats each day.
- The machines were running for 107 continuous days.

Step 1: Find the number of hats produced per day.
Number of hats produced per day = 694 hats

Step 2: Find the total number of hats produced in 107 days.
Total number of hats produced = Number of hats produced per day × Number of days
Total number of hats produced = 694 hats × 107 days
Total number of hats produced = 74,258 hats

Therefore, after keeping the machines running for 107 continuous days, the hat company produced 74,258 hats.

### Answer: 74,258

Expected answer: 74258

Correct? Yes

🔗 Follow-up

Problem: Suppose the hat company had a slightly lower daily average, only manufacturing 554 hats each day instead of 694. If they kept the machines running for the same period of 107 days, how many hats were produced now?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of hats produced in 107 days with the new daily average of 554 hats.

Given information:
- The hat company manufactures an average of 554 hats each day.
- The machines were running for 107 continuous days.

Step 1: Find the number of hats produced per day.
Number of hats produced per day = 554 hats

Step 2: Find the total number of hats produced in 107 days.
Total number of hats produced = Number of hats produced per day × Number of days
Total number of hats produced = 554 hats × 107 days
Total number of hats produced = 59,278 hats

Therefore, with the new daily average of 554 hats and keeping the machines running for 107 continuous days, the hat company produced 59,278 hats.

### Answer: 59,278

Expected answer: 59278

Correct? Yes

🔗 Problem

Problem: A farmer grows 31 cucumbers each day. After 2955 days, how many cucumbers has the farmer grown?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cucumbers grown by multiplying the number of cucumbers grown per day by the number of days.

Given information:
- The farmer grows 31 cucumbers each day.
- The number of days is 2955.

Step 1: Multiply the number of cucumbers grown per day by the number of days.
Number of cucumbers grown = Number of cucumbers grown per day × Number of days
Number of cucumbers grown = 31 × 2955
Number of cucumbers grown = 91,605

Therefore, after 2955 days, the farmer has grown 91,605 cucumbers.

### Answer: 91,605

Expected answer: 91605

Correct? Yes

🔗 Follow-up

Problem: If the farmer instead grows 469 cucumbers each day, how many cucumbers will he have grown after 31 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cucumbers grown by multiplying the number of cucumbers grown per day by the number of days.

Given information:
- The farmer grows 469 cucumbers each day.
- The number of days is 31.

Step 1: Multiply the number of cucumbers grown per day by the number of days.
Number of cucumbers grown = Number of cucumbers grown per day × Number of days
Number of cucumbers grown = 469 × 31
Number of cucumbers grown = 14,539

Therefore, after 31 days, the farmer will have grown 14,539 cucumbers.

### Answer: 14,539

Expected answer: 14539

Correct? Yes

🔗 Problem

Problem: A grape vine produces 10 bunches of grapes in a day. If each bunch of grapes sells for 715 dollars, how much worth of grapes does a vine produce each day?

Claude-3 Sonnet:

To solve this problem, we need to find the total value of grapes produced by a vine in a day.

Given information:
- A grape vine produces 10 bunches of grapes in a day.
- Each bunch of grapes sells for $715.

Step 1: Find the value of grapes produced by a vine in a day.
Value of grapes produced by a vine in a day = Number of bunches of grapes × Value of each bunch of grapes
Value of grapes produced by a vine in a day = 10 × $715
Value of grapes produced by a vine in a day = $7,150

Therefore, a grape vine produces grapes worth $7,150 each day.

### Answer: $7,150

Expected answer: 7150

Correct? Yes

🔗 Problem

Problem: A plane flies at a speed of 850 kilometers per hour. If it flies continuously for 109 hours, how many kilometers will it have flown?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance covered by the plane by multiplying its speed with the time it flies.

Given information:
- The plane flies at a speed of 850 kilometers per hour.
- The plane flies continuously for 109 hours.

Step 1: Find the total distance covered by the plane.
Total distance = Speed × Time
Total distance = 850 kilometers per hour × 109 hours
Total distance = 92,650 kilometers

Therefore, the plane will have flown 92,650 kilometers after flying continuously for 109 hours.

### Answer: 92,650

Expected answer: 92650

Correct? Yes

🔗 Follow-up

Problem: If the plane was flying at a slower speed of 43 kilometers per hour instead of 850 kilometers per hour. How many kilometers would the plane have flown now after 109 hours?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance covered by the plane by multiplying its new speed with the time it flies.

Given information:
- The plane flies at a speed of 43 kilometers per hour.
- The plane flies continuously for 109 hours.

Step 1: Find the total distance covered by the plane.
Total distance = Speed × Time
Total distance = 43 kilometers per hour × 109 hours
Total distance = 4,687 kilometers

Therefore, if the plane was flying at a slower speed of 43 kilometers per hour instead of 850 kilometers per hour, it would have flown 4,687 kilometers after flying continuously for 109 hours.

### Answer: 4,687

Expected answer: 4687

Correct? Yes

🔗 Problem

Problem: An ice skate store sold 548 pairs of ice skates each week. If ice skating season lasts 179 weeks, how many pairs of ice skates did the store sell in total during that time?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of ice skates sold during the entire ice skating season.

Given information:
- The ice skate store sold 548 pairs of ice skates each week.
- The ice skating season lasts for 179 weeks.

Step 1: Find the number of pairs of ice skates sold in one week.
Number of pairs of ice skates sold in one week = 548 pairs

Step 2: Find the total number of pairs of ice skates sold during the entire ice skating season.
Total number of pairs of ice skates sold = Number of pairs of ice skates sold in one week × Number of weeks in the season
Total number of pairs of ice skates sold = 548 pairs × 179 weeks
Total number of pairs of ice skates sold = 98,092 pairs

Therefore, the ice skate store sold a total of 98,092 pairs of ice skates during the 179-week ice skating season.

### Answer: 98,092

Expected answer: 98092

Correct? Yes

🔗 Follow-up

Problem: If the same ice skate store only sold 548 pairs of ice skates for 148 weeks instead of 179 weeks, how many pairs of ice skates did the store sell in total during that time?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of ice skates sold during the 148 weeks.

Given information:
- The ice skate store sold 548 pairs of ice skates each week.
- The duration is 148 weeks.

Step 1: Find the number of pairs of ice skates sold in one week.
Number of pairs of ice skates sold in one week = 548 pairs

Step 2: Find the total number of pairs of ice skates sold during the 148 weeks.
Total number of pairs of ice skates sold = Number of pairs of ice skates sold in one week × Number of weeks
Total number of pairs of ice skates sold = 548 pairs × 148 weeks
Total number of pairs of ice skates sold = 81,104 pairs

Therefore, the ice skate store sold a total of 81,104 pairs of ice skates during the 148 weeks.

### Answer: 81,104

Expected answer: 81104

Correct? Yes

🔗 Problem

Problem: A flower shop sells an exotic flower for 2293 dollars. If they sold 37 of these flowers, how much did they earn in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue earned by the flower shop from selling the exotic flowers.

Given information:
- The flower shop sells an exotic flower for $2,293 each.
- The flower shop sold 37 of these exotic flowers.

To find the total revenue, we need to multiply the price of one exotic flower by the number of flowers sold.

Total revenue = Price of one exotic flower × Number of flowers sold
Total revenue = $2,293 × 37
Total revenue = $84,841

Therefore, the flower shop earned a total of $84,841 from selling 37 exotic flowers.

### Answer: 84841

Expected answer: 84841

Correct? Yes

🔗 Problem

Problem: A pirate ship has 475 crew members, each having their personal 89 gold coins stash. How many gold coins are there in total on the pirate ship?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of gold coins on the pirate ship by multiplying the number of crew members by the number of gold coins each crew member has.

Given information:
- The pirate ship has 475 crew members.
- Each crew member has a personal stash of 89 gold coins.

Step 1: Find the total number of gold coins on the pirate ship.
Total number of gold coins = Number of crew members × Number of gold coins per crew member
Total number of gold coins = 475 × 89
Total number of gold coins = 42,275

Therefore, there are 42,275 gold coins in total on the pirate ship.

### Answer: 42,275

Expected answer: 42275

Correct? Yes

🔗 Follow-up

Problem: Suppose the pirate ship only had 103 crew members, each still having their personal stash of 89 gold coins. How many gold coins would there be in total on the pirate ship in this scenario?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- The pirate ship has 103 crew members.
- Each crew member has a personal stash of 89 gold coins.

To find the total number of gold coins on the pirate ship, we need to multiply the number of crew members by the number of gold coins each crew member has.

Step 1: Find the total number of gold coins on the pirate ship.
Total number of gold coins = Number of crew members × Number of gold coins per crew member
Total number of gold coins = 103 × 89
Total number of gold coins = 9,167

Therefore, with 103 crew members and each crew member having a personal stash of 89 gold coins, there would be a total of 9,167 gold coins on the pirate ship.

### Answer: 9,167

Expected answer: 9167

Correct? Yes

🔗 Problem

Problem: A hat shop sells 159 hats each week. In one year, which is 369 weeks, how many hats are sold in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of hats sold in one year, given that the shop sells 159 hats each week and there are 52 weeks in a year.

Given information:
- The hat shop sells 159 hats each week.
- There are 52 weeks in a year.

Step 1: Find the number of hats sold in one year.
Number of hats sold in one year = Number of hats sold per week × Number of weeks in a year
Number of hats sold in one year = 159 × 52
Number of hats sold in one year = 8,268 hats

Therefore, the hat shop sells 8,268 hats in one year.

However, the question states that there are 369 weeks, which is incorrect since there are only 52 weeks in a year.

Assuming the question meant to ask for the total number of hats sold in 369 weeks, we can calculate it as follows:

Step 2: Find the total number of hats sold in 369 weeks.
Total number of hats sold in 369 weeks = Number of hats sold per week × Number of weeks
Total number of hats sold in 369 weeks = 159 × 369
Total number of hats sold in 369 weeks = 58,671 hats

### Answer: 58,671

Expected answer: 58671

Correct? Yes

🔗 Follow-up

Problem: Imagine the same hat shop increases its weekly sales to 239 hats. Then, how many hats would the shop sell in one year, given each year contains 369 weeks?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of hats sold in 369 weeks, given that the hat shop sells 239 hats each week.

Given information:
- The hat shop sells 239 hats each week.
- There are 369 weeks.

Step 1: Find the total number of hats sold in 369 weeks.
Total number of hats sold in 369 weeks = Number of hats sold per week × Number of weeks
Total number of hats sold in 369 weeks = 239 × 369
Total number of hats sold in 369 weeks = 88,191 hats

However, the question states that there are 369 weeks in one year, which is incorrect since there are only 52 weeks in a year.

Assuming the question meant to ask for the total number of hats sold in one year, with the increased weekly sales of 239 hats, we can calculate it as follows:

Step 2: Find the total number of hats sold in one year.
Total number of hats sold in one year = Number of hats sold per week × Number of weeks in a year
Total number of hats sold in one year = 239 × 52
Total number of hats sold in one year = 12,428 hats

### Answer: 12,428

Expected answer: 88191

Correct? No

🔗 Problem

Problem: A pirate ship can carry 8690 pounds of gold. If the ship is carrying 2 loads of gold on their trip, how much total weight of gold does the ship have?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of gold the ship is carrying by multiplying the weight of one load by the number of loads.

Given information:
- The pirate ship can carry 8690 pounds of gold.
- The ship is carrying 2 loads of gold.

Step 1: Find the weight of one load of gold.
Weight of one load of gold = 8690 pounds

Step 2: Find the total weight of gold by multiplying the weight of one load by the number of loads.
Total weight of gold = Weight of one load × Number of loads
Total weight of gold = 8690 pounds × 2 loads
Total weight of gold = 17380 pounds

Therefore, the total weight of gold the ship is carrying is 17380 pounds.

### Answer: 17380

Expected answer: 17380

Correct? Yes

🔗 Follow-up

Problem: In a subsequent trip, the pirate ship is only able to carry 3457 pounds of gold per load instead of the usual 8690. If the ship is still carrying 2 loads of gold, how much total weight of gold does the ship have now?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of gold the ship is carrying by multiplying the weight of one load by the number of loads.

Given information:
- The pirate ship can carry 3457 pounds of gold per load.
- The ship is carrying 2 loads of gold.

Step 1: Find the weight of one load of gold.
Weight of one load of gold = 3457 pounds

Step 2: Find the total weight of gold by multiplying the weight of one load by the number of loads.
Total weight of gold = Weight of one load × Number of loads
Total weight of gold = 3457 pounds × 2 loads
Total weight of gold = 6914 pounds

Therefore, the total weight of gold the ship is carrying now is 6914 pounds.

### Answer: 6914

Expected answer: 6914

Correct? Yes

🔗 Problem

Problem: A library has 20 shelves and each shelf can hold 3909 books. How many books can the library hold in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of books that can be held on all the shelves.

Given information:
- The library has 20 shelves.
- Each shelf can hold 3909 books.

Step 1: Find the number of books that can be held on one shelf.
Number of books on one shelf = 3909 books

Step 2: Find the total number of books that can be held on all 20 shelves.
Total number of books = Number of books on one shelf × Number of shelves
Total number of books = 3909 books × 20 shelves
Total number of books = 78,180 books

Therefore, the library can hold a total of 78,180 books.

### Answer: 78,180

Expected answer: 78180

Correct? Yes

🔗 Follow-up

Problem: If the library was remodeled and now only has the capacity to hold 1920 books per shelf instead of 3909 books, how many books can the library hold in total with 20 shelves?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of books that can be held on all the shelves with the new capacity.

Given information:
- The library has 20 shelves.
- Each shelf can now hold 1920 books.

Step 1: Find the number of books that can be held on one shelf.
Number of books on one shelf = 1920 books

Step 2: Find the total number of books that can be held on all 20 shelves.
Total number of books = Number of books on one shelf × Number of shelves
Total number of books = 1920 books × 20 shelves
Total number of books = 38,400 books

Therefore, with the new capacity of 1920 books per shelf, the library can hold a total of 38,400 books with 20 shelves.

### Answer: 38,400

Expected answer: 38400

Correct? Yes

🔗 Problem

Problem: Each superhero action figure comes in a set of 4. If there are 8193 of these sets, how many individual superhero action figures do we have in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of individual superhero action figures by multiplying the number of sets by the number of action figures in each set.

Given information:
- Each set contains 4 superhero action figures.
- There are 8193 sets.

Step 1: Find the number of individual superhero action figures in one set.
Number of action figures in one set = 4

Step 2: Find the total number of individual superhero action figures by multiplying the number of sets by the number of action figures in each set.
Total number of individual superhero action figures = Number of sets × Number of action figures in each set
Total number of individual superhero action figures = 8193 × 4
Total number of individual superhero action figures = 32772

Therefore, we have a total of 32772 individual superhero action figures.

### Answer: 32772

Expected answer: 32772

Correct? Yes

🔗 Follow-up

Problem: If in reality, each superhero action figure comes in a set of 4 but there are only 3706 sets, how many individual superhero action figures do we have in total now?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- Each set contains 4 superhero action figures.
- There are 3706 sets.

Step 1: Find the number of individual superhero action figures in one set.
Number of action figures in one set = 4

Step 2: Find the total number of individual superhero action figures by multiplying the number of sets by the number of action figures in each set.
Total number of individual superhero action figures = Number of sets × Number of action figures in each set
Total number of individual superhero action figures = 3706 × 4
Total number of individual superhero action figures = 14824

Therefore, with 3706 sets and each set containing 4 superhero action figures, we have a total of 14824 individual superhero action figures.

### Answer: 14824

Expected answer: 14824

Correct? Yes

🔗 Problem

Problem: A farmer has 177 plots of land, each of which yields 380 carrots. How many carrots does the farmer harvest in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of carrots harvested from all the plots of land.

Given information:
- The farmer has 177 plots of land.
- Each plot of land yields 380 carrots.

Step 1: Find the number of carrots harvested from one plot of land.
Number of carrots harvested from one plot = 380 carrots

Step 2: Find the total number of carrots harvested from all the plots of land.
Total number of carrots harvested = Number of plots of land × Number of carrots harvested from one plot
Total number of carrots harvested = 177 × 380
Total number of carrots harvested = 67,260 carrots

Therefore, the farmer harvests a total of 67,260 carrots from all the plots of land.

### Answer: 67,260

Expected answer: 67260

Correct? Yes

🔗 Follow-up

Problem: Suppose the farmer planted an additional kind of carrot on 220 plots of land, each of which yielded 380 carrots. How many of these additional kinds of carrots would the farmer harvest in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of additional carrots harvested from the 220 plots of land.

Given information:
- The farmer planted an additional kind of carrot on 220 plots of land.
- Each plot of land yielded 380 carrots.

Step 1: Find the number of carrots harvested from one plot of land.
Number of carrots harvested from one plot = 380 carrots

Step 2: Find the total number of carrots harvested from all the 220 plots of land.
Total number of carrots harvested = Number of plots of land × Number of carrots harvested from one plot
Total number of carrots harvested = 220 × 380
Total number of carrots harvested = 83,600 carrots

Therefore, the farmer would harvest a total of 83,600 carrots of the additional kind from the 220 plots of land.

### Answer: 83,600

Expected answer: 83600

Correct? Yes

🔗 Problem

Problem: A wizard casts a spell that yields 2009 magical orbs. If he cast this spell 4 times, how many magical orbs did he produce in total?

Claude-3 Sonnet:

To solve this problem, we need to find the number of magical orbs produced by the wizard in one spell, and then multiply it by the number of times he cast the spell.

Given information:
- The wizard casts a spell that yields 2009 magical orbs.
- The wizard cast the spell 4 times.

Step 1: Find the number of magical orbs produced in one spell.
Number of magical orbs produced in one spell = 2009

Step 2: Find the total number of magical orbs produced by multiplying the number of orbs in one spell by the number of times the spell was cast.
Total number of magical orbs produced = Number of magical orbs produced in one spell × Number of times the spell was cast
Total number of magical orbs produced = 2009 × 4
Total number of magical orbs produced = 8036

Therefore, the wizard produced a total of 8036 magical orbs by casting the spell 4 times.

### Answer: 8036

Expected answer: 8036

Correct? Yes

🔗 Follow-up

Problem: In a different magical scenario, the wizard casts a similar spell, but this time it only yields 2769 magical orbs. If he cast this reduced orb spell four times, how many magical orbs did he produce in total?

Claude-3 Sonnet:

To solve this problem, we need to find the number of magical orbs produced by the wizard in one spell with the reduced orb yield, and then multiply it by the number of times he cast the spell.

Given information:
- The wizard casts a spell that yields 2769 magical orbs.
- The wizard cast the spell 4 times.

Step 1: Find the number of magical orbs produced in one spell with the reduced orb yield.
Number of magical orbs produced in one spell = 2769

Step 2: Find the total number of magical orbs produced by multiplying the number of orbs in one spell by the number of times the spell was cast.
Total number of magical orbs produced = Number of magical orbs produced in one spell × Number of times the spell was cast
Total number of magical orbs produced = 2769 × 4
Total number of magical orbs produced = 11076

Therefore, the wizard produced a total of 11076 magical orbs by casting the reduced orb spell 4 times.

### Answer: 11076

Expected answer: 11076

Correct? Yes

🔗 Problem

Problem: A helicopter can cover 2265 miles in a day. How many miles can it cover in 28 days?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the helicopter can cover in 28 days given that it can cover 2265 miles in a day.

Given information:
- The helicopter can cover 2265 miles in a day.

Step 1: Find the distance the helicopter can cover in 28 days.
Distance covered in 28 days = Distance covered in 1 day × Number of days
Distance covered in 28 days = 2265 miles × 28 days
Distance covered in 28 days = 63,420 miles

Therefore, the helicopter can cover 63,420 miles in 28 days.

### Answer: 63,420

Expected answer: 63420

Correct? Yes

🔗 Follow-up

Problem: If the same helicopter could only cover 1060 miles in a day instead of 2265 miles, how many miles could it cover in 28 days?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the helicopter can cover in 28 days given that it can cover 1060 miles in a day.

Given information:
- The helicopter can cover 1060 miles in a day.

Step 1: Find the distance the helicopter can cover in 28 days.
Distance covered in 28 days = Distance covered in 1 day × Number of days
Distance covered in 28 days = 1060 miles × 28 days
Distance covered in 28 days = 29,680 miles

Therefore, if the helicopter could only cover 1060 miles in a day instead of 2265 miles, it could cover 29,680 miles in 28 days.

### Answer: 29,680

Expected answer: 29680

Correct? Yes

🔗 Problem

Problem: A jewelry maker uses 1516 beads to create one necklace. If he made 51 necklaces, how many beads did he use in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of beads used for 51 necklaces.

Given information:
- The jewelry maker uses 1516 beads to create one necklace.
- The jewelry maker made 51 necklaces.

Step 1: Find the number of beads used for one necklace.
Number of beads used for one necklace = 1516 beads

Step 2: Find the total number of beads used for 51 necklaces.
Total number of beads used = Number of beads used for one necklace × Number of necklaces made
Total number of beads used = 1516 beads × 51 necklaces
Total number of beads used = 77,316 beads

Therefore, the jewelry maker used a total of 77,316 beads to make 51 necklaces.

### Answer: 77316

Expected answer: 77316

Correct? Yes

🔗 Follow-up

Problem: If the jewelry maker decided to simplify his necklace design and now only used 1196 beads to create one necklace instead of 1516, how many beads would he use if he still made 51 necklaces?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of beads used for 51 necklaces with the new design that uses 1196 beads per necklace.

Given information:
- The jewelry maker now uses 1196 beads to create one necklace.
- The jewelry maker still made 51 necklaces.

Step 1: Find the number of beads used for one necklace with the new design.
Number of beads used for one necklace = 1196 beads

Step 2: Find the total number of beads used for 51 necklaces with the new design.
Total number of beads used = Number of beads used for one necklace × Number of necklaces made
Total number of beads used = 1196 beads × 51 necklaces
Total number of beads used = 60,996 beads

Therefore, if the jewelry maker simplified his necklace design and used 1196 beads to create one necklace, he would use a total of 60,996 beads to make 51 necklaces.

### Answer: 60996

Expected answer: 60996

Correct? Yes

🔗 Problem

Problem: A teacher has decided to use a new teaching method where every student must tackle a bundle of 425 tasks independently. If the teacher has 116 students in their class, how many tasks in total will these students be completing?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of tasks that all students will be completing.

Given information:
- Each student must tackle a bundle of 425 tasks independently.
- The teacher has 116 students in their class.

Step 1: Find the number of tasks for one student.
Number of tasks per student = 425

Step 2: Find the total number of tasks for all students.
Total number of tasks = Number of tasks per student × Number of students
Total number of tasks = 425 × 116
Total number of tasks = 49,300

Therefore, the students in the teacher's class will be completing a total of 49,300 tasks.

### Answer: 49,300

Expected answer: 49300

Correct? Yes

🔗 Follow-up

Problem: The teacher decided to expand the task bundle for every student to 725 tasks instead of 425. If the teacher still has 116 students in their class, how many tasks in total will these students be completing now?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- Each student must tackle a bundle of 725 tasks independently.
- The teacher has 116 students in their class.

Step 1: Find the number of tasks for one student.
Number of tasks per student = 725

Step 2: Find the total number of tasks for all students.
Total number of tasks = Number of tasks per student × Number of students
Total number of tasks = 725 × 116
Total number of tasks = 84,100

Therefore, with the expanded task bundle of 725 tasks per student, the students in the teacher's class will be completing a total of 84,100 tasks.

### Answer: 84,100

Expected answer: 84100

Correct? Yes

🔗 Problem

Problem: A farmer's yield is 72 cucumbers per plant. If the farmer has 255 plants, how many cucumbers does he yield altogether?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cucumbers yielded by multiplying the number of plants with the yield per plant.

Given information:
- The farmer's yield is 72 cucumbers per plant.
- The farmer has 255 plants.

Step 1: Find the total number of cucumbers yielded.
Total number of cucumbers = Number of plants × Yield per plant
Total number of cucumbers = 255 × 72
Total number of cucumbers = 18,360

Therefore, the farmer yields a total of 18,360 cucumbers altogether.

### Answer: 18,360

Expected answer: 18360

Correct? Yes

🔗 Follow-up

Problem: If each plant instead produced a yield of 203 cucumbers, how many cucumbers would the farmer yield from his 255 plants?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of cucumbers yielded by multiplying the number of plants with the new yield per plant.

Given information:
- The new yield per plant is 203 cucumbers.
- The farmer has 255 plants.

Step 1: Find the total number of cucumbers yielded with the new yield per plant.
Total number of cucumbers = Number of plants × New yield per plant
Total number of cucumbers = 255 × 203
Total number of cucumbers = 51,765

Therefore, if each plant produced a yield of 203 cucumbers, the farmer would yield a total of 51,765 cucumbers from his 255 plants.

### Answer: 51,765

Expected answer: 51765

Correct? Yes

🔗 Problem

Problem: In a fireplace shop, each fireplace costs $1047. If they sell 84 fireplaces, how much money does the shop make?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue generated by selling 84 fireplaces.

Given information:
- Each fireplace costs $1047.
- The shop sold 84 fireplaces.

Step 1: Find the total revenue by multiplying the cost of one fireplace by the number of fireplaces sold.
Total revenue = Cost of one fireplace × Number of fireplaces sold
Total revenue = $1047 × 84
Total revenue = $87,948

Therefore, the shop makes $87,948 by selling 84 fireplaces.

### Answer: $87,948

Expected answer: 87948

Correct? Yes

🔗 Follow-up

Problem: In the same fireplace shop, they decide to reduce the price of each fireplace to $944. If they still sell 84 fireplaces, how much money does the shop make now?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue generated by selling 84 fireplaces at the reduced price of $944 each.

Given information:
- The new price of each fireplace is $944.
- The shop sold 84 fireplaces.

Step 1: Find the total revenue by multiplying the new cost of one fireplace by the number of fireplaces sold.
Total revenue = New cost of one fireplace × Number of fireplaces sold
Total revenue = $944 × 84
Total revenue = $79,296

Therefore, with the reduced price of $944 per fireplace, the shop makes $79,296 by selling 84 fireplaces.

### Answer: $79,296

Expected answer: 79296

Correct? Yes

🔗 Problem

Problem: A snail travels at a speed of 1681 millimeters per hour. If it continues moving for 37 hours, how many millimeters will it travel?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled by the snail in 37 hours.

Given information:
- The snail travels at a speed of 1681 millimeters per hour.
- The snail travels for 37 hours.

Step 1: Find the distance traveled by the snail in 1 hour.
Distance traveled in 1 hour = Speed of the snail
Distance traveled in 1 hour = 1681 millimeters

Step 2: Find the distance traveled by the snail in 37 hours.
Distance traveled in 37 hours = Distance traveled in 1 hour × Number of hours
Distance traveled in 37 hours = 1681 millimeters × 37 hours
Distance traveled in 37 hours = 62197 millimeters

Therefore, the snail will travel 62197 millimeters in 37 hours.

### Answer: 62197

Expected answer: 62197

Correct? Yes

🔗 Follow-up

Problem: If that same snail were to travel at a slightly slower speed of 1208 millimeters per hour instead, how many millimeters would it travel after moving for the same 37 hours?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled by the snail at a speed of 1208 millimeters per hour for 37 hours.

Given information:
- The snail travels at a speed of 1208 millimeters per hour.
- The snail travels for 37 hours.

Step 1: Find the distance traveled by the snail in 1 hour.
Distance traveled in 1 hour = Speed of the snail
Distance traveled in 1 hour = 1208 millimeters

Step 2: Find the distance traveled by the snail in 37 hours.
Distance traveled in 37 hours = Distance traveled in 1 hour × Number of hours
Distance traveled in 37 hours = 1208 millimeters × 37 hours
Distance traveled in 37 hours = 44696 millimeters

Therefore, if the snail travels at a speed of 1208 millimeters per hour for 37 hours, it will travel 44696 millimeters.

### Answer: 44696

Expected answer: 44696

Correct? Yes

🔗 Problem

Problem: A pencil maker has 9658 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store receive?

Claude-3 Sonnet:

To solve this problem, we need to find out how many pencils each store will receive if the total number of pencils is distributed evenly among them.

Given information:
- The pencil maker has 9658 pencils.
- The pencils will be distributed evenly over 1 store.

Since there is only one store, it will receive all the pencils.

Therefore, the store will receive 9658 pencils.

### Answer: 9658

Expected answer: 9658

Correct? Yes

🔗 Follow-up

Problem: Instead of 9658 pencils, suppose the pencil maker originally had 7883 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store now receive?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- The pencil maker has 7883 pencils.
- The pencils will be distributed evenly over 1 store.

Since there is only one store, it will receive all the pencils.

Therefore, the store will receive 7883 pencils.

### Answer: 7883

Expected answer: 7883

Correct? Yes

🔗 Problem

Problem: A bead shop sells individual beads for making necklaces. Each bead costs 1056 dollars and a designer buys 37 of them for a fancy necklace. How much does she spend on beads?

Claude-3 Sonnet:

To solve this problem, we need to find the total cost of the beads by multiplying the cost of each bead by the number of beads the designer bought.

Given information:
- Each bead costs $1056.
- The designer bought 37 beads.

Step 1: Find the cost of 37 beads.
Cost of 37 beads = Cost of each bead × Number of beads
Cost of 37 beads = $1056 × 37
Cost of 37 beads = $39,072

Therefore, the designer spent $39,072 on beads for the fancy necklace.

### Answer: 39072

Expected answer: 39072

Correct? Yes

🔗 Follow-up

Problem: Considering the previous scenario, what if each bead for the fancy necklace was pricier at 1978 dollars instead of 1056 dollars. How much would the designer spend on 37 beads now?

Claude-3 Sonnet:

Okay, let's recalculate the cost with the new price for each bead.

Given information:
- Each bead now costs $1978.
- The designer still bought 37 beads.

Step 1: Find the cost of 37 beads with the new price.
Cost of 37 beads = Cost of each bead × Number of beads
Cost of 37 beads = $1978 × 37
Cost of 37 beads = $73,186

Therefore, with each bead costing $1978, the designer would spend $73,186 on 37 beads for the fancy necklace.

### Answer: 73186

Expected answer: 73186

Correct? Yes

🔗 Problem

Problem: A group of penguins usually eats an average of 19 kg of fish per day. If this continuous for 3327 days, then what's the total amount of fish that the group would consume?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of fish consumed by the group of penguins over the given number of days.

Given information:
- The group of penguins eats an average of 19 kg of fish per day.
- The duration is 3327 days.

Step 1: Find the amount of fish consumed per day.
Amount of fish consumed per day = 19 kg

Step 2: Find the total amount of fish consumed over 3327 days.
Total amount of fish consumed = Amount of fish consumed per day × Number of days
Total amount of fish consumed = 19 kg × 3327 days
Total amount of fish consumed = 63,213 kg

Therefore, the total amount of fish that the group of penguins would consume over 3327 days is 63,213 kg.

### Answer: 63213

Expected answer: 63213

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of 3327 days, the group of penguins continues eating an average of 19 kg of fish per day for a period of 2351 days. In that case, what would be the total amount of fish that the group would consume?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of fish consumed by the group of penguins over the given number of days.

Given information:
- The group of penguins eats an average of 19 kg of fish per day.
- The duration is 2351 days.

Step 1: Find the amount of fish consumed per day.
Amount of fish consumed per day = 19 kg

Step 2: Find the total amount of fish consumed over 2351 days.
Total amount of fish consumed = Amount of fish consumed per day × Number of days
Total amount of fish consumed = 19 kg × 2351 days
Total amount of fish consumed = 44,669 kg

Therefore, the total amount of fish that the group of penguins would consume over 2351 days is 44,669 kg.

### Answer: 44669

Expected answer: 44669

Correct? Yes

🔗 Problem

Problem: A juice company sells 2921 crates of juice each day. If a crate contains 25 juice packs, how many packs of juice does the company sell each day?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of juice packs sold by the company each day.

Given information:
- The juice company sells 2921 crates of juice each day.
- Each crate contains 25 juice packs.

Step 1: Find the number of juice packs in one crate.
Number of juice packs in one crate = 25

Step 2: Find the total number of juice packs sold each day.
Total number of juice packs sold each day = Number of crates sold each day × Number of juice packs in one crate
Total number of juice packs sold each day = 2921 × 25
Total number of juice packs sold each day = 73025

Therefore, the juice company sells 73025 packs of juice each day.

### Answer: 73025

Expected answer: 73025

Correct? Yes

🔗 Follow-up

Problem: If the juice company changed the packaging such that a crate now contains only 1345 juice packs instead of 2921, how many juice packs would the company sell each day if they still sold 25 crates a day?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of juice packs sold by the company each day with the new packaging.

Given information:
- The juice company now sells 25 crates of juice each day.
- Each crate contains 1345 juice packs.

Step 1: Find the number of juice packs in one crate.
Number of juice packs in one crate = 1345

Step 2: Find the total number of juice packs sold each day.
Total number of juice packs sold each day = Number of crates sold each day × Number of juice packs in one crate
Total number of juice packs sold each day = 25 × 1345
Total number of juice packs sold each day = 33625

Therefore, with the new packaging, the juice company would sell 33625 packs of juice each day if they still sold 25 crates a day.

### Answer: 33625

Expected answer: 33625

Correct? Yes

🔗 Problem

Problem: A furniture factory can produce 6287 tables in a week. If they maintain their current production rate, how many tables will they produce in 3 weeks?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tables produced in one week and then multiply it by the number of weeks.

Given information:
- The furniture factory can produce 6287 tables in a week.
- We need to find the number of tables produced in 3 weeks.

Step 1: Find the number of tables produced in one week.
Number of tables produced in one week = 6287 tables

Step 2: Find the number of tables produced in 3 weeks.
Number of tables produced in 3 weeks = Number of tables produced in one week × Number of weeks
Number of tables produced in 3 weeks = 6287 tables × 3 weeks
Number of tables produced in 3 weeks = 18861 tables

Therefore, if the furniture factory maintains their current production rate, they will produce 18861 tables in 3 weeks.

### Answer: 18861

Expected answer: 18861

Correct? Yes

🔗 Follow-up

Problem: If the furniture factory could only produce 2093 tables a week instead of 6287, how many tables would they make in 3 weeks at this decreased production rate?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tables produced in one week at the decreased production rate and then multiply it by the number of weeks.

Given information:
- The furniture factory can produce 2093 tables in a week at the decreased production rate.
- We need to find the number of tables produced in 3 weeks at the decreased production rate.

Step 1: Find the number of tables produced in one week at the decreased production rate.
Number of tables produced in one week = 2093 tables

Step 2: Find the number of tables produced in 3 weeks at the decreased production rate.
Number of tables produced in 3 weeks = Number of tables produced in one week × Number of weeks
Number of tables produced in 3 weeks = 2093 tables × 3 weeks
Number of tables produced in 3 weeks = 6279 tables

Therefore, if the furniture factory could only produce 2093 tables a week instead of 6287, they would produce 6279 tables in 3 weeks at this decreased production rate.

### Answer: 6279

Expected answer: 6279

Correct? Yes

🔗 Problem

Problem: A sock production factory has the capacity to produce 869 socks in an hour. If they operate 31 hours in a row, how many socks do they produce in total during that period?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of socks produced by multiplying the production rate per hour by the number of hours the factory operates.

Given information:
- The factory can produce 869 socks in an hour.
- The factory operates for 31 hours in a row.

Step 1: Find the number of socks produced in 1 hour.
Number of socks produced in 1 hour = 869 socks

Step 2: Find the total number of socks produced in 31 hours.
Total number of socks produced = Number of socks produced in 1 hour × Number of hours
Total number of socks produced = 869 socks × 31 hours
Total number of socks produced = 26,939 socks

Therefore, the sock production factory produces a total of 26,939 socks during the 31-hour period of continuous operation.

### Answer: 26,939

Expected answer: 26939

Correct? Yes

🔗 Problem

Problem: A rainbow was said to occur 1347 times in a year in a particular area. If 22 years have passed since the record was kept, how many times has the rainbow been spotted in those years?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of times the rainbow has been spotted over the course of 22 years.

Given information:
- A rainbow occurred 1347 times in a particular area in one year.
- 22 years have passed since the record was kept.

Assumption:
- The number of times the rainbow occurred in a year remained constant over the 22 years.

Step 1: Find the number of times the rainbow occurred in one year.
Number of times the rainbow occurred in one year = 1347

Step 2: Find the total number of times the rainbow occurred over 22 years.
Total number of times the rainbow occurred = Number of times the rainbow occurred in one year × Number of years
Total number of times the rainbow occurred = 1347 × 22
Total number of times the rainbow occurred = 29,634

Therefore, the rainbow has been spotted 29,634 times in those 22 years.

### Answer: 29634

Expected answer: 29634

Correct? Yes

🔗 Follow-up

Problem: Instead, consider that the rainbow was actually seen 1661 times a year. In that case, how many times would the rainbow have been spotted in those 22 years?

Claude-3 Sonnet:

Okay, let's recalculate with the new information that the rainbow was seen 1661 times a year.

Given information:
- A rainbow occurred 1661 times in a particular area in one year.
- 22 years have passed since the record was kept.

Assumption:
- The number of times the rainbow occurred in a year remained constant over the 22 years.

Step 1: Find the number of times the rainbow occurred in one year.
Number of times the rainbow occurred in one year = 1661

Step 2: Find the total number of times the rainbow occurred over 22 years.
Total number of times the rainbow occurred = Number of times the rainbow occurred in one year × Number of years
Total number of times the rainbow occurred = 1661 × 22
Total number of times the rainbow occurred = 36,542

Therefore, with the rainbow being seen 1661 times a year, it would have been spotted 36,542 times in those 22 years.

### Answer: 36542

Expected answer: 36542

Correct? Yes

🔗 Problem

Problem: A certain cloud formation can hold 1859 gallons of water per square mile. If the cloud was spread out over 10 square miles, how much water could it hold?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of water the cloud formation can hold when spread out over 10 square miles.

Given information:
- The cloud formation can hold 1859 gallons of water per square mile.
- The cloud is spread out over 10 square miles.

Step 1: Find the amount of water the cloud formation can hold for 1 square mile.
Amount of water per square mile = 1859 gallons

Step 2: Find the total amount of water the cloud formation can hold for 10 square miles.
Total amount of water = Amount of water per square mile × Number of square miles
Total amount of water = 1859 gallons × 10 square miles
Total amount of water = 18590 gallons

Therefore, the cloud formation can hold 18590 gallons of water when spread out over 10 square miles.

### Answer: 18590

Expected answer: 18590

Correct? Yes

🔗 Follow-up

Problem: Suppose the cloud formation from the previous problem turned out to be a bit larger, and is instead spread over 2622 square miles. If it still retains the same holding capacity of 10 gallons per square mile, how much water could this larger cloud formation hold now?

Claude-3 Sonnet:

In this problem, we need to find the total amount of water the larger cloud formation can hold when spread over 2622 square miles, given that it has a holding capacity of 1859 gallons per square mile.

Given information:
- The cloud formation can hold 1859 gallons of water per square mile.
- The cloud formation is spread over 2622 square miles.

Step 1: Find the amount of water the cloud formation can hold for 1 square mile.
Amount of water per square mile = 1859 gallons

Step 2: Find the total amount of water the cloud formation can hold for 2622 square miles.
Total amount of water = Amount of water per square mile × Number of square miles
Total amount of water = 1859 gallons × 2622 square miles
Total amount of water = 4,875,898 gallons

Therefore, the larger cloud formation can hold 4,875,898 gallons of water when spread over 2622 square miles.

### Answer: 4875898

Expected answer: 26220

Correct? No

🔗 Problem

Problem: A card shop sells a pack of cards for 439 dollars. If they sell 79 packs, how much revenue will they earn?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue earned by the card shop by multiplying the cost of one pack of cards by the number of packs sold.

Given information:
- The cost of one pack of cards is $439.
- The card shop sold 79 packs.

Step 1: Find the total revenue earned by multiplying the cost of one pack by the number of packs sold.
Total revenue = Cost of one pack × Number of packs sold
Total revenue = $439 × 79

Step 2: Calculate the total revenue.
Total revenue = $439 × 79
Total revenue = $34,681

Therefore, the card shop will earn a revenue of $34,681 by selling 79 packs of cards.

### Answer: $34,681

Expected answer: 34681

Correct? Yes

🔗 Follow-up

Problem: The card shop decided to lower the price of a pack of cards to 326 dollars. If they still sell 79 packs of cards, how much revenue will they earn now?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue earned by the card shop by multiplying the new cost of one pack of cards by the number of packs sold.

Given information:
- The new cost of one pack of cards is $326.
- The card shop still sells 79 packs.

Step 1: Find the total revenue earned by multiplying the new cost of one pack by the number of packs sold.
Total revenue = New cost of one pack × Number of packs sold
Total revenue = $326 × 79

Step 2: Calculate the total revenue.
Total revenue = $326 × 79
Total revenue = $25,754

Therefore, if the card shop lowers the price of a pack of cards to $326 and still sells 79 packs, they will earn a revenue of $25,754.

### Answer: $25,754

Expected answer: 25754

Correct? Yes

🔗 Problem

Problem: A jungle gym manufacturer uses 1429 bolts for each jungle gym they build. If they built 47 jungle gyms, how many bolts did they use in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bolts used for building 47 jungle gyms.

Given information:
- The jungle gym manufacturer uses 1429 bolts for each jungle gym.
- They built 47 jungle gyms.

Step 1: Find the number of bolts used for one jungle gym.
Number of bolts used for one jungle gym = 1429 bolts

Step 2: Find the total number of bolts used for 47 jungle gyms.
Total number of bolts used = Number of bolts used for one jungle gym × Number of jungle gyms built
Total number of bolts used = 1429 × 47
Total number of bolts used = 67,163 bolts

Therefore, the jungle gym manufacturer used a total of 67,163 bolts to build 47 jungle gyms.

### Answer: 67,163

Expected answer: 67163

Correct? Yes

🔗 Follow-up

Problem: If the jungle gym manufacturer decided to make a smaller model that only requires 385 bolts, and they built 47 of these smaller jungle gyms, how many bolts did they use in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bolts used for building 47 smaller jungle gyms.

Given information:
- The smaller jungle gym model requires 385 bolts for each jungle gym.
- They built 47 smaller jungle gyms.

Step 1: Find the number of bolts used for one smaller jungle gym.
Number of bolts used for one smaller jungle gym = 385 bolts

Step 2: Find the total number of bolts used for 47 smaller jungle gyms.
Total number of bolts used = Number of bolts used for one smaller jungle gym × Number of smaller jungle gyms built
Total number of bolts used = 385 × 47
Total number of bolts used = 18,095 bolts

Therefore, the jungle gym manufacturer used a total of 18,095 bolts to build 47 smaller jungle gyms.

### Answer: 18,095

Expected answer: 18095

Correct? Yes

🔗 Problem

Problem: A backpack company sells backpacks in bundles of 1283. If a big school orders 64 bundles, how many backpacks does the school order in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of backpacks in 64 bundles.

Given information:
- Each bundle contains 1283 backpacks.
- The school orders 64 bundles.

Step 1: Find the number of backpacks in one bundle.
Number of backpacks in one bundle = 1283

Step 2: Find the total number of backpacks in 64 bundles.
Total number of backpacks = Number of backpacks in one bundle × Number of bundles
Total number of backpacks = 1283 × 64
Total number of backpacks = 82112

Therefore, the school orders a total of 82112 backpacks.

### Answer: 82112

Expected answer: 82112

Correct? Yes

🔗 Follow-up

Problem: The backpack company decides to sell backpacks in smaller bundles of 424 to accommodate smaller schools. If a smaller school orders 64 bundles, how many backpacks does the school order in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of backpacks in 64 bundles when each bundle contains 424 backpacks.

Given information:
- Each bundle contains 424 backpacks.
- The smaller school orders 64 bundles.

Step 1: Find the number of backpacks in one bundle.
Number of backpacks in one bundle = 424

Step 2: Find the total number of backpacks in 64 bundles.
Total number of backpacks = Number of backpacks in one bundle × Number of bundles
Total number of backpacks = 424 × 64
Total number of backpacks = 27136

Therefore, the smaller school orders a total of 27136 backpacks.

### Answer: 27136

Expected answer: 27136

Correct? Yes

🔗 Problem

Problem: A farmer produces 3813 pounds of grain each month. If they continue this production for 6 months, how many pounds of grain will they have produced?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of grain produced in 6 months.

Given information:
- The farmer produces 3813 pounds of grain each month.
- The farmer continues this production for 6 months.

Step 1: Find the amount of grain produced in 1 month.
Amount of grain produced in 1 month = 3813 pounds

Step 2: Find the amount of grain produced in 6 months.
Amount of grain produced in 6 months = Amount of grain produced in 1 month × Number of months
Amount of grain produced in 6 months = 3813 pounds × 6 months
Amount of grain produced in 6 months = 22,878 pounds

Therefore, if the farmer continues the production of 3813 pounds of grain each month for 6 months, they will have produced a total of 22,878 pounds of grain.

### Answer: 22,878

Expected answer: 22878

Correct? Yes

🔗 Problem

Problem: A jeweler makes 158 pairs of earrings each day. If she works 142 days a year, how many pairs of earrings does she make in a year?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of earrings the jeweler makes in a year.

Given information:
- The jeweler makes 158 pairs of earrings each day.
- The jeweler works 142 days a year.

Step 1: Find the number of pairs of earrings the jeweler makes in a year.
Number of pairs of earrings made in a year = Number of pairs of earrings made per day × Number of days worked in a year
Number of pairs of earrings made in a year = 158 × 142
Number of pairs of earrings made in a year = 22,436

Therefore, the jeweler makes 22,436 pairs of earrings in a year.

### Answer: 22,436

Expected answer: 22436

Correct? Yes

🔗 Follow-up

Problem: After reviewing her productivity, the jeweler decides to limit her daily output to maintain the quality of her work. If she now only produces 36 pairs of earrings each day, but still works the same 142 days a year, how many pairs of earrings will she produce in a year under this new regimen?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of earrings the jeweler will produce in a year under the new regimen.

Given information:
- The jeweler now produces 36 pairs of earrings each day.
- The jeweler still works 142 days a year.

Step 1: Find the number of pairs of earrings the jeweler will produce in a year under the new regimen.
Number of pairs of earrings produced in a year = Number of pairs of earrings produced per day × Number of days worked in a year
Number of pairs of earrings produced in a year = 36 × 142
Number of pairs of earrings produced in a year = 5,112

Therefore, under the new regimen, the jeweler will produce 5,112 pairs of earrings in a year.

### Answer: 5,112

Expected answer: 5112

Correct? Yes

🔗 Problem

Problem: A manufacturer can make 48 wallets in one hour. If they worked for 1244 hours straight without any breaks, how many wallets could they make?

Claude-3 Sonnet:

To solve this problem, we need to find the number of wallets the manufacturer can make in 1244 hours.

Given information:
- The manufacturer can make 48 wallets in one hour.
- The manufacturer worked for 1244 hours straight without any breaks.

Step 1: Find the number of wallets the manufacturer can make in 1244 hours.
Number of wallets made in 1244 hours = Number of wallets made in one hour × Number of hours worked
Number of wallets made in 1244 hours = 48 × 1244
Number of wallets made in 1244 hours = 59,712 wallets

Therefore, the manufacturer could make 59,712 wallets if they worked for 1244 hours straight without any breaks.

### Answer: 59,712

Expected answer: 59712

Correct? Yes

🔗 Problem

Problem: A new phone model sells for $3915 each. If a store sells 15 of these phones, how much revenue does the store generate from them?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue generated by selling 15 phones at $3915 each.

Given information:
- The price of one phone is $3915.
- The store sold 15 phones.

Step 1: Find the revenue generated by selling one phone.
Revenue from one phone = Price of one phone
Revenue from one phone = $3915

Step 2: Find the total revenue generated by selling 15 phones.
Total revenue = Revenue from one phone × Number of phones sold
Total revenue = $3915 × 15
Total revenue = $58,725

Therefore, the store generates a revenue of $58,725 from selling 15 phones of the new model.

### Answer: $58,725

Expected answer: 58725

Correct? Yes

🔗 Problem

Problem: A caterer needs 40 grams of sugar to bake one cookie. If they need to bake 985 cookies for an event, how much sugar will they need in grams?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of sugar required for baking 985 cookies.

Given information:
- The caterer needs 40 grams of sugar to bake one cookie.
- The caterer needs to bake 985 cookies.

Step 1: Find the amount of sugar required for 985 cookies.
Amount of sugar required for 985 cookies = Amount of sugar required for one cookie × Number of cookies
Amount of sugar required for 985 cookies = 40 grams × 985
Amount of sugar required for 985 cookies = 39,400 grams

Therefore, the caterer will need 39,400 grams of sugar to bake 985 cookies for the event.

### Answer: 39,400

Expected answer: 39400

Correct? Yes

🔗 Follow-up

Problem: The caterer has received another order, this time for 838 cookies. If they still need 40 grams of sugar per cookie, how much sugar will they need for the new order?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of sugar required for baking 838 cookies.

Given information:
- The caterer needs 40 grams of sugar to bake one cookie.
- The caterer needs to bake 838 cookies.

Step 1: Find the amount of sugar required for 838 cookies.
Amount of sugar required for 838 cookies = Amount of sugar required for one cookie × Number of cookies
Amount of sugar required for 838 cookies = 40 grams × 838
Amount of sugar required for 838 cookies = 33,520 grams

Therefore, the caterer will need 33,520 grams of sugar to bake 838 cookies for the new order.

### Answer: 33,520

Expected answer: 33520

Correct? Yes

🔗 Problem

Problem: A park has 4798 trees. If each tree produces 11 pounds of oxygen per year, how much oxygen does the park produce in a year?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of oxygen produced by all the trees in the park in a year.

Given information:
- The park has 4798 trees.
- Each tree produces 11 pounds of oxygen per year.

Step 1: Find the amount of oxygen produced by one tree in a year.
Amount of oxygen produced by one tree in a year = 11 pounds

Step 2: Find the total amount of oxygen produced by all the trees in the park in a year.
Total amount of oxygen produced = Number of trees × Amount of oxygen produced by one tree
Total amount of oxygen produced = 4798 × 11 pounds
Total amount of oxygen produced = 52,778 pounds

Therefore, the park produces 52,778 pounds of oxygen in a year.

### Answer: 52,778

Expected answer: 52778

Correct? Yes

🔗 Follow-up

Problem: If instead the park had 8165 trees and each tree continues to produce 11 pounds of oxygen per year, how much oxygen would the park produce in a year?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of oxygen produced by all the trees in the park in a year, given the new number of trees.

Given information:
- The park has 8165 trees.
- Each tree produces 11 pounds of oxygen per year.

Step 1: Find the amount of oxygen produced by one tree in a year.
Amount of oxygen produced by one tree in a year = 11 pounds

Step 2: Find the total amount of oxygen produced by all the trees in the park in a year.
Total amount of oxygen produced = Number of trees × Amount of oxygen produced by one tree
Total amount of oxygen produced = 8165 × 11 pounds
Total amount of oxygen produced = 89,815 pounds

Therefore, if the park had 8165 trees and each tree continues to produce 11 pounds of oxygen per year, the park would produce 89,815 pounds of oxygen in a year.

### Answer: 89,815

Expected answer: 89815

Correct? Yes

🔗 Problem

Problem: A juice company produces 2146 bottles of juice daily. If they are able to keep up this production rate for 46 days, how many bottles do they produce in that time?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of bottles produced in 46 days.

Given information:
- The juice company produces 2146 bottles of juice daily.
- The production rate is maintained for 46 days.

Step 1: Find the number of bottles produced in one day.
Number of bottles produced in one day = 2146 bottles

Step 2: Find the number of bottles produced in 46 days.
Number of bottles produced in 46 days = Number of bottles produced in one day × Number of days
Number of bottles produced in 46 days = 2146 bottles × 46 days
Number of bottles produced in 46 days = 98,716 bottles

Therefore, the juice company produces 98,716 bottles of juice in 46 days.

### Answer: 98716

Expected answer: 98716

Correct? Yes

🔗 Follow-up

Problem: Now, consider that the juice company changed their production to 1747 bottles of juice daily instead of 2146. Maintaining this new production rate for the same duration of 46 days, how many bottles do they produce now?

Claude-3 Sonnet:

Okay, let's solve this problem with the new production rate.

Given information:
- The new production rate is 1747 bottles of juice daily.
- The production rate is maintained for 46 days.

Step 1: Find the number of bottles produced in one day with the new production rate.
Number of bottles produced in one day = 1747 bottles

Step 2: Find the number of bottles produced in 46 days with the new production rate.
Number of bottles produced in 46 days = Number of bottles produced in one day × Number of days
Number of bottles produced in 46 days = 1747 bottles × 46 days
Number of bottles produced in 46 days = 80,362 bottles

Therefore, with the new production rate of 1747 bottles of juice daily, the juice company produces 80,362 bottles of juice in 46 days.

### Answer: 80362

Expected answer: 80362

Correct? Yes

🔗 Problem

Problem: A helicopter is equipped with 10 fuel tanks. Each of these tanks can hold 4366 liters of fuel. When fully loaded, how much fuel does the helicopter hold?

Claude-3 Sonnet:

To solve this problem, we need to find the total capacity of all the fuel tanks in the helicopter.

Given information:
- The helicopter has 10 fuel tanks.
- Each fuel tank can hold 4366 liters of fuel.

Step 1: Find the capacity of one fuel tank.
Capacity of one fuel tank = 4366 liters

Step 2: Find the total capacity of all 10 fuel tanks.
Total capacity = Capacity of one fuel tank × Number of fuel tanks
Total capacity = 4366 liters × 10
Total capacity = 43660 liters

Therefore, when fully loaded, the helicopter holds 43660 liters of fuel.

### Answer: 43660

Expected answer: 43660

Correct? Yes

🔗 Problem

Problem: A school bus can carry 637 students. If there are 148 school buses, how many students can all of the school buses carry in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of students that all the school buses can carry.

Given information:
- One school bus can carry 637 students.
- There are 148 school buses.

Step 1: Find the number of students that one school bus can carry.
Number of students per school bus = 637

Step 2: Find the total number of students that all the school buses can carry.
Total number of students = Number of students per school bus × Number of school buses
Total number of students = 637 × 148
Total number of students = 94,276

Therefore, all the 148 school buses can carry a total of 94,276 students.

### Answer: 94,276

Expected answer: 94276

Correct? Yes

🔗 Follow-up

Problem: If each school bus could instead carry 595 students, how many students could all 148 school buses carry in total now?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of students that all the school buses can carry with the new capacity of 595 students per bus.

Given information:
- Each school bus can carry 595 students.
- There are 148 school buses.

Step 1: Find the number of students that one school bus can carry.
Number of students per school bus = 595

Step 2: Find the total number of students that all the school buses can carry.
Total number of students = Number of students per school bus × Number of school buses
Total number of students = 595 × 148
Total number of students = 88,060

Therefore, with the new capacity of 595 students per bus, all the 148 school buses can carry a total of 88,060 students.

### Answer: 88,060

Expected answer: 88060

Correct? Yes

🔗 Problem

Problem: A jacket designer pays $480 to create each prototype. If the designer made 121 prototypes before finalizing the design, how much total did she spend on creating the prototypes?

Claude-3 Sonnet:

To solve this problem, we need to find the cost of creating one prototype and then multiply it by the number of prototypes made.

Given information:
- The cost of creating each prototype is $480.
- The designer made 121 prototypes before finalizing the design.

Step 1: Find the cost of creating one prototype.
Cost of creating one prototype = $480

Step 2: Find the total cost of creating 121 prototypes.
Total cost = Cost of creating one prototype × Number of prototypes
Total cost = $480 × 121
Total cost = $58,080

Therefore, the designer spent a total of $58,080 on creating the 121 prototypes before finalizing the design.

### Answer: $58,080

Expected answer: 58080

Correct? Yes

🔗 Follow-up

Problem: Following the same jacket designer, she realized that she could reduce her prototype costs to $158 per prototype. If she still made 121 prototypes, how much total would she spend on creating the prototypes with this reduced cost?

Claude-3 Sonnet:

To solve this problem, we need to find the new cost of creating one prototype with the reduced cost and then multiply it by the number of prototypes made.

Given information:
- The new cost of creating each prototype is $158.
- The designer made 121 prototypes.

Step 1: Find the new cost of creating one prototype.
New cost of creating one prototype = $158

Step 2: Find the total cost of creating 121 prototypes with the reduced cost.
Total cost = New cost of creating one prototype × Number of prototypes
Total cost = $158 × 121
Total cost = $19,118

Therefore, with the reduced cost of $158 per prototype, the designer would spend a total of $19,118 on creating the 121 prototypes.

### Answer: $19,118

Expected answer: 19118

Correct? Yes

🔗 Problem

Problem: In a skating equipment store, they sell ice skates for $106 each. On a particularly successful day, the store sells 406 pairs of ice skates. How much money does the store make from selling ice skates on that day?

Claude-3 Sonnet:

To solve this problem, we need to find the total revenue from selling ice skates on that day.

Given information:
- The store sells ice skates for $106 each.
- The store sold 406 pairs of ice skates on a particular day.

Step 1: Find the total number of ice skates sold.
Total number of ice skates sold = Number of pairs of ice skates sold × 2 (since each pair has 2 skates)
Total number of ice skates sold = 406 × 2 = 812 ice skates

Step 2: Find the total revenue from selling ice skates.
Total revenue = Total number of ice skates sold × Price of one ice skate
Total revenue = 812 × $106 = $86,072

Therefore, the store made $86,072 from selling ice skates on that day.

### Answer: $86,072

Expected answer: 43036

Correct? No

🔗 Problem

Problem: The sun emits 133 units of light energy every second. If the energy is measured over a period of 61 seconds, how much energy does the sun emit in that time?

Claude-3 Sonnet:

To solve this problem, we need to find the total energy emitted by the sun over the given period of time.

Given information:
- The sun emits 133 units of light energy every second.
- The energy is measured over a period of 61 seconds.

Step 1: Find the energy emitted by the sun in 1 second.
Energy emitted in 1 second = 133 units

Step 2: Find the energy emitted by the sun in 61 seconds.
Energy emitted in 61 seconds = Energy emitted in 1 second × Number of seconds
Energy emitted in 61 seconds = 133 units × 61 seconds
Energy emitted in 61 seconds = 8,113 units

Therefore, the sun emits 8,113 units of energy over a period of 61 seconds.

### Answer: 8,113

Expected answer: 8113

Correct? Yes

🔗 Follow-up

Problem: If instead of 61 seconds, the sun's emitted energy is measured over 150 seconds, how much light energy does the sun emit in that duration?

Claude-3 Sonnet:

To solve this problem, we need to find the total energy emitted by the sun over a period of 150 seconds.

Given information:
- The sun emits 133 units of light energy every second.
- The energy is measured over a period of 150 seconds.

Step 1: Find the energy emitted by the sun in 1 second.
Energy emitted in 1 second = 133 units

Step 2: Find the energy emitted by the sun in 150 seconds.
Energy emitted in 150 seconds = Energy emitted in 1 second × Number of seconds
Energy emitted in 150 seconds = 133 units × 150 seconds
Energy emitted in 150 seconds = 19,950 units

Therefore, the sun emits 19,950 units of light energy over a period of 150 seconds.

### Answer: 19,950

Expected answer: 19950

Correct? Yes

🔗 Problem

Problem: A farmer has 8714 chickens and each of them lays 5 eggs every day. How many eggs are laid by all the chickens in a day?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of eggs laid by all the chickens in a day.

Given information:
- The farmer has 8714 chickens.
- Each chicken lays 5 eggs every day.

Step 1: Find the number of eggs laid by one chicken in a day.
Number of eggs laid by one chicken in a day = 5 eggs

Step 2: Find the total number of eggs laid by all the chickens in a day.
Total number of eggs laid by all the chickens in a day = Number of chickens × Number of eggs laid by one chicken in a day
Total number of eggs laid by all the chickens in a day = 8714 × 5 eggs
Total number of eggs laid by all the chickens in a day = 43,570 eggs

Therefore, all the chickens lay a total of 43,570 eggs in a day.

### Answer: 43,570

Expected answer: 43570

Correct? Yes

🔗 Follow-up

Problem: Now consider that the farmer only has 4714 chickens instead of 8714. Assuming each chicken still lays 5 eggs every day, how many eggs are laid by all the chickens in a day now?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of eggs laid by all the chickens in a day with the new information.

Given information:
- The farmer has 4714 chickens.
- Each chicken lays 5 eggs every day.

Step 1: Find the number of eggs laid by one chicken in a day.
Number of eggs laid by one chicken in a day = 5 eggs

Step 2: Find the total number of eggs laid by all the chickens in a day.
Total number of eggs laid by all the chickens in a day = Number of chickens × Number of eggs laid by one chicken in a day
Total number of eggs laid by all the chickens in a day = 4714 × 5 eggs
Total number of eggs laid by all the chickens in a day = 23,570 eggs

Therefore, with 4714 chickens, all the chickens lay a total of 23,570 eggs in a day.

### Answer: 23,570

Expected answer: 23570

Correct? Yes

🔗 Problem

Problem: A drum circle event has 4417 drummers attending. If each drummer brings 13 drums, how many drums are at the event in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of drums brought by all the drummers.

Given information:
- There are 4417 drummers attending the drum circle event.
- Each drummer brings 13 drums.

To find the total number of drums, we need to multiply the number of drummers by the number of drums each drummer brings.

Step 1: Multiply the number of drummers by the number of drums each drummer brings.
Total number of drums = Number of drummers × Number of drums per drummer
Total number of drums = 4417 × 13

Step 2: Calculate the result.
Total number of drums = 4417 × 13
Total number of drums = 57,421

Therefore, there are 57,421 drums at the drum circle event in total.

### Answer: 57,421

Expected answer: 57421

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, suppose instead of having 4417 drummers attending, only 2770 drummers attend. If each drummer still brings 13 drums, how many drums are at the event now?

Claude-3 Sonnet:

Okay, let's solve this new scenario.

Given information:
- There are 2770 drummers attending the drum circle event.
- Each drummer brings 13 drums.

To find the total number of drums, we need to multiply the number of drummers by the number of drums each drummer brings.

Step 1: Multiply the number of drummers by the number of drums each drummer brings.
Total number of drums = Number of drummers × Number of drums per drummer
Total number of drums = 2770 × 13

Step 2: Calculate the result.
Total number of drums = 2770 × 13
Total number of drums = 36,010

Therefore, with 2770 drummers attending and each drummer bringing 13 drums, there are 36,010 drums at the drum circle event.

### Answer: 36,010

Expected answer: 36010

Correct? Yes

🔗 Problem

Problem: A factory produces 3017 mobile phones per day. If they continue this rate of production for 4 days, how many phones will they produce?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of mobile phones produced in 4 days.

Given information:
- The factory produces 3017 mobile phones per day.
- The factory will continue this rate of production for 4 days.

Step 1: Find the number of mobile phones produced in 1 day.
Number of mobile phones produced in 1 day = 3017

Step 2: Find the number of mobile phones produced in 4 days.
Number of mobile phones produced in 4 days = Number of mobile phones produced in 1 day × 4
Number of mobile phones produced in 4 days = 3017 × 4
Number of mobile phones produced in 4 days = 12068

Therefore, the factory will produce 12068 mobile phones in 4 days at the given rate of production.

### Answer: 12068

Expected answer: 12068

Correct? Yes

🔗 Follow-up

Problem: Consider the same mobile phone factory from the previous question. But this time, instead of producing 3017 phones per day, they ramp up their production to 8805 phones per day. If they continue this rate of production for 4 days, how many phones will they produce now?

Claude-3 Sonnet:

In this problem, we need to find the total number of mobile phones produced by the factory in 4 days with the new production rate of 8805 phones per day.

Given information:
- The factory produces 8805 mobile phones per day.
- The factory will continue this rate of production for 4 days.

Step 1: Find the number of mobile phones produced in 1 day.
Number of mobile phones produced in 1 day = 8805

Step 2: Find the number of mobile phones produced in 4 days.
Number of mobile phones produced in 4 days = Number of mobile phones produced in 1 day × 4
Number of mobile phones produced in 4 days = 8805 × 4
Number of mobile phones produced in 4 days = 35220

Therefore, with the new production rate of 8805 phones per day, the factory will produce 35220 mobile phones in 4 days.

### Answer: 35220

Expected answer: 35220

Correct? Yes

🔗 Problem

Problem: A wind turbine generates 6843 kilowatt-hours of electricity per hour. If it operates for 4 hours, how many kilowatt-hours of electricity does it generate?

Claude-3 Sonnet:

To solve this problem, we need to multiply the amount of electricity generated per hour by the number of hours the wind turbine operates.

Given information:
- The wind turbine generates 6843 kilowatt-hours of electricity per hour.
- The wind turbine operates for 4 hours.

Step 1: Multiply the amount of electricity generated per hour by the number of hours.
Amount of electricity generated = Amount of electricity generated per hour × Number of hours
Amount of electricity generated = 6843 kilowatt-hours × 4 hours
Amount of electricity generated = 27,372 kilowatt-hours

Therefore, if the wind turbine operates for 4 hours, it generates 27,372 kilowatt-hours of electricity.

### Answer: 27,372

Expected answer: 27372

Correct? Yes

🔗 Follow-up

Problem: If the wind turbine was only able to generate 6983 kilowatt-hours of electricity per hour, as opposed to 6843, how many kilowatt-hours of electricity would it generate when running for 4 hours?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- The wind turbine generates 6983 kilowatt-hours of electricity per hour.
- The wind turbine operates for 4 hours.

Step 1: Multiply the amount of electricity generated per hour by the number of hours.
Amount of electricity generated = Amount of electricity generated per hour × Number of hours
Amount of electricity generated = 6983 kilowatt-hours × 4 hours
Amount of electricity generated = 27,932 kilowatt-hours

Therefore, if the wind turbine generates 6983 kilowatt-hours of electricity per hour and operates for 4 hours, it will generate 27,932 kilowatt-hours of electricity.

### Answer: 27,932

Expected answer: 27932

Correct? Yes

🔗 Problem

Problem: In a park, there are 874 trees. Each tree is home to 68 birds. How many birds live in the park?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of birds living in all the trees in the park.

Given information:
- There are 874 trees in the park.
- Each tree is home to 68 birds.

Step 1: Find the number of birds living in one tree.
Number of birds in one tree = 68

Step 2: Find the total number of birds living in all the trees.
Total number of birds = Number of trees × Number of birds in one tree
Total number of birds = 874 × 68

Step 3: Calculate the total number of birds.
Total number of birds = 874 × 68
Total number of birds = 59,432

Therefore, there are 59,432 birds living in the park.

### Answer: 59,432

Expected answer: 59432

Correct? Yes

🔗 Follow-up

Problem: Suppose the number of trees in the park was actually 710 instead of 874. If each tree is still home to 68 birds, how many birds would live in the park then?

Claude-3 Sonnet:

Okay, let's solve this problem with the updated information.

Given information:
- There are 710 trees in the park.
- Each tree is home to 68 birds.

Step 1: Find the number of birds living in one tree.
Number of birds in one tree = 68

Step 2: Find the total number of birds living in all the trees.
Total number of birds = Number of trees × Number of birds in one tree
Total number of birds = 710 × 68

Step 3: Calculate the total number of birds.
Total number of birds = 710 × 68
Total number of birds = 48,280

Therefore, if there are 710 trees in the park and each tree is home to 68 birds, then there would be 48,280 birds living in the park.

### Answer: 48,280

Expected answer: 48280

Correct? Yes

🔗 Problem

Problem: John wants to save money to buy a designer wallet. Each day, he manages to save 80 dollars, and he plans to do this for the next 50 days. How much money will he have saved at the end of these 50 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money John will save in 50 days.

Given information:
- John saves $80 per day.
- John plans to save for 50 days.

Step 1: Find the amount of money John saves in one day.
Amount saved per day = $80

Step 2: Find the total amount of money John will save in 50 days.
Total amount saved = Amount saved per day × Number of days
Total amount saved = $80 × 50
Total amount saved = $4,000

Therefore, John will have saved $4,000 at the end of 50 days.

### Answer: $4,000

Expected answer: 4000

Correct? Yes

🔗 Follow-up

Problem: John has realized that he needs to save more each day to buy the designer wallet sooner. He has now managed to save 687 dollars a day for the next 50 days. How much money will he have saved at the end of these 50 days?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money John will save in 50 days with the new daily savings rate.

Given information:
- John saves $687 per day.
- John plans to save for 50 days.

Step 1: Find the amount of money John saves in one day.
Amount saved per day = $687

Step 2: Find the total amount of money John will save in 50 days.
Total amount saved = Amount saved per day × Number of days
Total amount saved = $687 × 50
Total amount saved = $34,350

Therefore, John will have saved $34,350 at the end of 50 days with the new daily savings rate of $687.

### Answer: $34,350

Expected answer: 34350

Correct? Yes

🔗 Problem

Problem: A bike shop had 3978 bicycle tires in stock. If the bike shop sold the tires in sets of 21, how many tires did they sell altogether?

Claude-3 Sonnet:

To solve this problem, we need to find the number of sets of 21 tires that can be formed from the total number of tires in stock, and then multiply it by 21 to find the total number of tires sold.

Given information:
- The bike shop had 3978 bicycle tires in stock.
- The tires are sold in sets of 21.

Step 1: Find the number of sets of 21 tires that can be formed from 3978 tires.
Number of sets = Total number of tires / Number of tires per set
Number of sets = 3978 / 21
Number of sets = 189

Step 2: Find the total number of tires sold by multiplying the number of sets by the number of tires per set.
Total number of tires sold = Number of sets × Number of tires per set
Total number of tires sold = 189 × 21
Total number of tires sold = 3969

Therefore, the bike shop sold 3969 tires altogether.

### Answer: 3969

Expected answer: 83538

Correct? No

🔗 Problem

Problem: A factory produces 181 chips for a computer every hour. If it works non-stop for 475 hours, how many chips would the factory have produced in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of chips produced by multiplying the number of chips produced per hour by the number of hours the factory works.

Given information:
- The factory produces 181 chips per hour.
- The factory works non-stop for 475 hours.

Step 1: Find the number of chips produced per hour.
Number of chips produced per hour = 181 chips

Step 2: Find the total number of chips produced by multiplying the number of chips produced per hour by the number of hours the factory works.
Total number of chips produced = Number of chips produced per hour × Number of hours the factory works
Total number of chips produced = 181 chips × 475 hours
Total number of chips produced = 86,025 chips

Therefore, the factory would have produced a total of 86,025 chips in 475 hours.

### Answer: 86025

Expected answer: 85975

Correct? No

🔗 Problem

Problem: A computer can execute 293 operations in 1 millisecond. If it runs for 192 milliseconds, how many operations will it have executed?

Claude-3 Sonnet:

To solve this problem, we need to find the number of operations the computer can execute in 192 milliseconds.

Given information:
- The computer can execute 293 operations in 1 millisecond.
- The computer runs for 192 milliseconds.

Step 1: Find the number of operations the computer can execute in 1 millisecond.
Number of operations in 1 millisecond = 293

Step 2: Find the number of operations the computer can execute in 192 milliseconds.
Number of operations in 192 milliseconds = Number of operations in 1 millisecond × 192
Number of operations in 192 milliseconds = 293 × 192
Number of operations in 192 milliseconds = 56,256

Therefore, the computer will have executed 56,256 operations in 192 milliseconds.

### Answer: 56,256

Expected answer: 56256

Correct? Yes

🔗 Follow-up

Problem: Suppose the computer's speed was reduced and it was only able to execute 125 operations in 1 millisecond. If it still ran for 192 milliseconds, how many operations would it be able to execute now?

Claude-3 Sonnet:

To solve this problem, we need to find the number of operations the computer can execute in 192 milliseconds with the reduced speed of 125 operations per millisecond.

Given information:
- The computer can execute 125 operations in 1 millisecond.
- The computer runs for 192 milliseconds.

Step 1: Find the number of operations the computer can execute in 1 millisecond.
Number of operations in 1 millisecond = 125

Step 2: Find the number of operations the computer can execute in 192 milliseconds.
Number of operations in 192 milliseconds = Number of operations in 1 millisecond × 192
Number of operations in 192 milliseconds = 125 × 192
Number of operations in 192 milliseconds = 24,000

Therefore, with the reduced speed of 125 operations per millisecond, the computer will be able to execute 24,000 operations in 192 milliseconds.

### Answer: 24,000

Expected answer: 24000

Correct? Yes

🔗 Problem

Problem: A pillow factory can produce 2796 pillows in one shift. If the factory operates two shifts in a day, how many pillows are produced in one day?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pillows produced in one shift and then multiply it by the number of shifts in a day.

Given information:
- The pillow factory can produce 2796 pillows in one shift.
- The factory operates two shifts in a day.

Step 1: Find the number of pillows produced in one shift.
Number of pillows produced in one shift = 2796

Step 2: Find the number of pillows produced in two shifts (one day).
Number of pillows produced in one day = Number of pillows produced in one shift × Number of shifts in a day
Number of pillows produced in one day = 2796 × 2
Number of pillows produced in one day = 5592

Therefore, the pillow factory produces 5592 pillows in one day.

### Answer: 5592

Expected answer: 5592

Correct? Yes

🔗 Follow-up

Problem: If instead the pillow factory could produce 6686 pillows in one shift, how many pillows would be produced in one day with two shifts?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pillows produced in one shift and then multiply it by the number of shifts in a day.

Given information:
- The pillow factory can produce 6686 pillows in one shift.
- The factory operates two shifts in a day.

Step 1: Find the number of pillows produced in one shift.
Number of pillows produced in one shift = 6686

Step 2: Find the number of pillows produced in two shifts (one day).
Number of pillows produced in one day = Number of pillows produced in one shift × Number of shifts in a day
Number of pillows produced in one day = 6686 × 2
Number of pillows produced in one day = 13372

Therefore, if the pillow factory could produce 6686 pillows in one shift, it would produce 13372 pillows in one day with two shifts.

### Answer: 13372

Expected answer: 13372

Correct? Yes

🔗 Problem

Problem: A vineyard crate contains 8 bunches of grapes and each bunch has 733 grapes. How many grapes are there in the crate?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of grapes in the crate by multiplying the number of bunches by the number of grapes in each bunch.

Given information:
- A vineyard crate contains 8 bunches of grapes.
- Each bunch has 733 grapes.

Step 1: Find the number of grapes in one bunch.
Number of grapes in one bunch = 733

Step 2: Find the total number of grapes in the crate by multiplying the number of bunches by the number of grapes in each bunch.
Total number of grapes in the crate = Number of bunches × Number of grapes in each bunch
Total number of grapes in the crate = 8 × 733
Total number of grapes in the crate = 5,864

Therefore, there are 5,864 grapes in the crate.

### Answer: 5,864

Expected answer: 5864

Correct? Yes

🔗 Follow-up

Problem: If a grocery store orders two crates from the vineyard, how many grapes in total would they receive?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of grapes in two crates from the vineyard.

Given information:
- A vineyard crate contains 8 bunches of grapes.
- Each bunch has 733 grapes.
- The grocery store orders two crates from the vineyard.

Step 1: Find the number of grapes in one crate.
Number of grapes in one crate = Number of bunches × Number of grapes in each bunch
Number of grapes in one crate = 8 × 733
Number of grapes in one crate = 5,864

Step 2: Find the total number of grapes in two crates by multiplying the number of grapes in one crate by the number of crates ordered.
Total number of grapes in two crates = Number of grapes in one crate × Number of crates
Total number of grapes in two crates = 5,864 × 2
Total number of grapes in two crates = 11,728

Therefore, if the grocery store orders two crates from the vineyard, they would receive a total of 11,728 grapes.

### Answer: 11,728

Expected answer: 11728

Correct? Yes

🔗 Follow-up

Problem: Suppose instead that each crate from the vineyard actually contained 8 bunches of grapes, and each bunch had 3451 grapes. In that case, how many grapes are there in one crate?

Claude-3 Sonnet:

Okay, let's solve this problem with the new information.

Given information:
- A vineyard crate contains 8 bunches of grapes.
- Each bunch has 3,451 grapes.

Step 1: Find the number of grapes in one bunch.
Number of grapes in one bunch = 3,451

Step 2: Find the total number of grapes in the crate by multiplying the number of bunches by the number of grapes in each bunch.
Total number of grapes in the crate = Number of bunches × Number of grapes in each bunch
Total number of grapes in the crate = 8 × 3,451
Total number of grapes in the crate = 27,608

Therefore, with each bunch containing 3,451 grapes, there are 27,608 grapes in one crate.

### Answer: 27,608

Expected answer: 27608

Correct? Yes