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GPT-4o 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?

GPT-4o:

To determine how many times the clock will tick in 65 hours, we need to multiply the number of ticks per hour by the number of hours.

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

Calculation:
\[ 225 \text{ ticks/hour} \times 65 \text{ hours} = 14625 \text{ ticks} \]

### Answer: 14625

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?

GPT-4o:

To determine how many times the clock will tick in 37 hours, we need to multiply the number of ticks per hour by the number of hours.

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

Calculation:
\[ 225 \text{ ticks/hour} \times 37 \text{ hours} = 8325 \text{ ticks} \]

### Answer: 8325

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?

GPT-4o:

To determine the number of cameras sold in the holiday season, we need to multiply the usual sales by four.

First, identify the usual sales:
\[ \text{Usual sales} = 302 \]

Next, calculate the holiday season sales:
\[ \text{Holiday season sales} = 4 \times 302 \]

Perform the multiplication:
\[ 4 \times 302 = 1208 \]

### Answer: 1208

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?

GPT-4o:

To find the total number of rings produced, we need to multiply the number of rings produced each day by the number of days of production.

Given:
- Number of rings produced each day = 423
- Number of days of production = 128

We calculate the total number of rings as follows:
\[ 423 \times 128 \]

First, we break down the multiplication for easier calculation:
\[ 423 \times 128 = 423 \times (100 + 20 + 8) \]
\[ = 423 \times 100 + 423 \times 20 + 423 \times 8 \]

Now, we calculate each term separately:
\[ 423 \times 100 = 42300 \]
\[ 423 \times 20 = 8460 \]
\[ 423 \times 8 = 3384 \]

Adding these results together:
\[ 42300 + 8460 + 3384 = 54144 \]

Therefore, the total number of rings produced after 128 days is:
### Answer: 54144

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?

GPT-4o:

To find the total number of rings produced with the new production rate, we need to multiply the number of rings produced each day by the number of days of production.

Given:
- Number of rings produced each day = 713
- Number of days of production = 128

We calculate the total number of rings as follows:
\[ 713 \times 128 \]

First, we break down the multiplication for easier calculation:
\[ 713 \times 128 = 713 \times (100 + 20 + 8) \]
\[ = 713 \times 100 + 713 \times 20 + 713 \times 8 \]

Now, we calculate each term separately:
\[ 713 \times 100 = 71300 \]
\[ 713 \times 20 = 14260 \]
\[ 713 \times 8 = 5704 \]

Adding these results together:
\[ 71300 + 14260 + 5704 = 91264 \]

Therefore, the total number of rings produced after 128 days with the new production rate is:
### Answer: 91264

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?

GPT-4o:

To determine the total number of chocolate bars produced in 17 hours, we need to multiply the number of chocolate bars produced in one hour by the number of hours the factory operates.

Given:
- Chocolate bars produced in one hour = 3771
- Number of hours the factory operates in a day = 17

We perform the multiplication:
\[ 3771 \times 17 \]

First, we can break it down using the distributive property:
\[ 3771 \times 17 = 3771 \times (10 + 7) \]
\[ = 3771 \times 10 + 3771 \times 7 \]

Calculating each part:
\[ 3771 \times 10 = 37710 \]
\[ 3771 \times 7 = 26397 \]

Now, add the two results together:
\[ 37710 + 26397 = 64107 \]

Therefore, the factory produces 64107 chocolate bars in 17 hours.

### Answer: 64107

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?

GPT-4o:

To determine the total number of chocolate bars produced in 17 hours with the new production rate, we need to multiply the number of chocolate bars produced in one hour by the number of hours the factory operates.

Given:
- Chocolate bars produced in one hour = 855
- Number of hours the factory operates in a day = 17

We perform the multiplication:
\[ 855 \times 17 \]

First, we can break it down using the distributive property:
\[ 855 \times 17 = 855 \times (10 + 7) \]
\[ = 855 \times 10 + 855 \times 7 \]

Calculating each part:
\[ 855 \times 10 = 8550 \]
\[ 855 \times 7 = 5985 \]

Now, add the two results together:
\[ 8550 + 5985 = 14535 \]

Therefore, the factory produces 14535 chocolate bars in 17 hours.

### Answer: 14535

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?

GPT-4o:

To determine the total points earned, we need to multiply the number of points per card by the number of cards played.

Given:
- Points per card = 3973
- Number of cards played = 4

We calculate the total points as follows:
\[ \text{Total points} = \text{Points per card} \times \text{Number of cards played} \]
\[ \text{Total points} = 3973 \times 4 \]

Now, performing the multiplication:
\[ 3973 \times 4 = 15892 \]

### 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?

GPT-4o:

To determine the total points earned under the new rules, we need to multiply the number of points per card by the number of cards played.

Given:
- Points per card = 1436
- Number of cards played = 4

We calculate the total points as follows:
\[ \text{Total points} = \text{Points per card} \times \text{Number of cards played} \]
\[ \text{Total points} = 1436 \times 4 \]

Now, performing the multiplication:
\[ 1436 \times 4 = 5744 \]

### 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?

GPT-4o:

To determine the total number of diamonds needed, we need to multiply the number of diamonds used per ring by the number of rings.

Given:
- Number of diamonds per ring = 459
- Number of rings = 141

We perform the multiplication:
\[ 459 \times 141 \]

First, we break it down using the distributive property:
\[ 459 \times 141 = 459 \times (100 + 40 + 1) \]
\[ = 459 \times 100 + 459 \times 40 + 459 \times 1 \]

Now, calculate each term separately:
\[ 459 \times 100 = 45900 \]
\[ 459 \times 40 = 18360 \]
\[ 459 \times 1 = 459 \]

Add these results together:
\[ 45900 + 18360 + 459 = 64719 \]

Thus, the total number of diamonds needed is:
### Answer: 64719

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?

GPT-4o:

To determine the total number of diamonds needed when each ring uses 98 diamonds, we need to multiply the number of diamonds per ring by the number of rings.

Given:
- Number of diamonds per ring = 98
- Number of rings = 141

We perform the multiplication:
\[ 98 \times 141 \]

First, we break it down using the distributive property:
\[ 98 \times 141 = 98 \times (100 + 40 + 1) \]
\[ = 98 \times 100 + 98 \times 40 + 98 \times 1 \]

Now, calculate each term separately:
\[ 98 \times 100 = 9800 \]
\[ 98 \times 40 = 3920 \]
\[ 98 \times 1 = 98 \]

Add these results together:
\[ 9800 + 3920 + 98 = 13818 \]

Thus, the total number of diamonds needed is:
### Answer: 13818

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?

GPT-4o:

To find the total revenue generated from selling 4285 dishes at $20 each, we need to multiply the number of dishes sold by the price per dish.

\[
4285 \text{ dishes} \times 20 \text{ dollars per dish} = 85700 \text{ dollars}
\]

### 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?

GPT-4o:

To find the total revenue generated from selling 1946 dishes at $20 each, we need to multiply the number of dishes sold by the price per dish.

\[
1946 \text{ dishes} \times 20 \text{ dollars per dish} = 38920 \text{ dollars}
\]

### 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?

GPT-4o:

To find the total number of bananas produced by the farmer from the two trees, we need to multiply the number of bananas produced per tree by the number of trees.

Given:
- Number of bananas per tree = 5998
- Number of trees = 2

Calculation:
\[ \text{Total bananas} = 5998 \times 2 \]

Performing the multiplication:
\[ 5998 \times 2 = 11996 \]

### 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?

GPT-4o:

To find the total number of bananas produced by the two trees, we need to multiply the number of bananas produced per tree by the number of trees.

Given:
- Number of bananas per tree = 3185
- Number of trees = 2

Calculation:
\[ \text{Total bananas} = 3185 \times 2 \]

Performing the multiplication:
\[ 3185 \times 2 = 6370 \]

### 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?

GPT-4o:

To determine the total number of screws needed, we need to multiply the number of skateboards by the number of screws used per skateboard.

Given:
- Number of skateboards = 6085
- Screws per skateboard = 14

We calculate:
\[ 6085 \text{ skateboards} \times 14 \text{ screws/skateboard} = 85190 \text{ screws} \]

### Answer: 85190

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?

GPT-4o:

To determine the total number of screws needed for 556 skateboards, we use the same method of multiplication as before.

Given:
- Number of skateboards = 556
- Screws per skateboard = 14

We calculate:
\[ 556 \text{ skateboards} \times 14 \text{ screws/skateboard} = 7784 \text{ screws} \]

### Answer: 7784

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?

GPT-4o:

To find out how many bottles the factory produces in a week, we need to multiply the number of bottles produced in one day by the number of days in a week.

The factory produces 8688 bottles every day. There are 7 days in a week.

So, we calculate:
\[ 8688 \text{ bottles/day} \times 7 \text{ days} = 60816 \text{ bottles} \]

### 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?

GPT-4o:

To determine the number of bottles produced in a week with the new daily production rate, we need to multiply the number of bottles produced each day by the number of days in a week.

The factory now produces 2655 bottles every day. There are 7 days in a week.

So, we calculate:
\[ 2655 \text{ bottles/day} \times 7 \text{ days} = 18585 \text{ bottles} \]

### 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?

GPT-4o:

To find out how many bicycles the company produces in 11 months, we need to multiply the number of bicycles produced in one month by 11.

Given:
- Number of bicycles produced in one month = 6347

Calculation:
\[ 6347 \times 11 \]

We can break this multiplication into simpler steps:
\[ 6347 \times 11 = 6347 \times (10 + 1) \]
\[ = 6347 \times 10 + 6347 \times 1 \]
\[ = 63470 + 6347 \]
\[ = 69817 \]

So, the company produces 69,817 bicycles in 11 months.

### Answer: 69,817

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?

GPT-4o:

To find out how many bicycles the company produces in 11 months when producing 3054 bicycles each month, we need to multiply the number of bicycles produced in one month by 11.

Given:
- Number of bicycles produced in one month = 3054

Calculation:
\[ 3054 \times 11 \]

We can break this multiplication into simpler steps:
\[ 3054 \times 11 = 3054 \times (10 + 1) \]
\[ = 3054 \times 10 + 3054 \times 1 \]
\[ = 30540 + 3054 \]
\[ = 33594 \]

So, the company produces 33,594 bicycles in 11 months.

### Answer: 33,594

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?

GPT-4o:

To find out how many breaths the baby needs in 2 days, we simply multiply the number of breaths per day by the number of days.

Given:
- Number of breaths per day = 9932
- Number of days = 2

Calculation:
\[ 9932 \, \text{breaths/day} \times 2 \, \text{days} = 19864 \, \text{breaths} \]

### 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?

GPT-4o:

To determine how many breaths the baby needs in 2 days, we multiply the number of breaths per day by the number of days.

Given:
- Number of breaths per day = 6860
- Number of days = 2

Calculation:
\[ 6860 \, \text{breaths/day} \times 2 \, \text{days} = 13720 \, \text{breaths} \]

### 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?

GPT-4o:

To find the total time the child spent sliding, we need to multiply the time it takes for one descent by the number of descents.

Given:
- Time for one descent = 8555 seconds
- Number of descents = 9

We calculate the total time as follows:
\[ 8555 \text{ seconds/slide} \times 9 \text{ slides} = 76995 \text{ seconds} \]

### Answer: 76995 seconds

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?

GPT-4o:

To find the total time the child spends sliding down the new slide, we need to multiply the time it takes for one descent by the number of descents.

Given:
- Time for one descent on the new slide = 9780 seconds
- Number of descents = 9

We calculate the total time as follows:
\[ 9780 \text{ seconds/slide} \times 9 \text{ slides} = 88020 \text{ seconds} \]

### Answer: 88020 seconds

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?

GPT-4o:

To find the new length of the slide after increasing it by a factor of 36, we need to multiply the original length by 36.

Original length of the slide: 631 inches
Factor of increase: 36

New length = Original length × Factor of increase
New length = 631 inches × 36

Now, let's perform the multiplication:

\[
631 \times 36 = 631 \times (30 + 6) = (631 \times 30) + (631 \times 6)
\]

First, calculate \(631 \times 30\):

\[
631 \times 30 = 18930
\]

Next, calculate \(631 \times 6\):

\[
631 \times 6 = 3786
\]

Now, add the two results together:

\[
18930 + 3786 = 22716
\]

So, the new length of the slide is 22,716 inches.

### Answer: 22716 inches

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?

GPT-4o:

To find the new length of the slide after increasing it by a factor of 36, we need to multiply the original length by 36.

Original length of the slide: 2148 inches
Factor of increase: 36

New length = Original length × Factor of increase
New length = 2148 inches × 36

Now, let's perform the multiplication:

\[
2148 \times 36 = 2148 \times (30 + 6) = (2148 \times 30) + (2148 \times 6)
\]

First, calculate \(2148 \times 30\):

\[
2148 \times 30 = 64440
\]

Next, calculate \(2148 \times 6\):

\[
2148 \times 6 = 12888
\]

Now, add the two results together:

\[
64440 + 12888 = 77328
\]

So, the new length of the slide is 77,328 inches.

### Answer: 77328 inches

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?

GPT-4o:

To determine the total number of stuffed animals produced, we need to multiply the number of stuffed animals produced per hour by the number of hours the factory operates.

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

We calculate the total production as follows:
\[ 480 \text{ stuffed animals/hour} \times 197 \text{ hours} \]

Performing the multiplication:
\[ 480 \times 197 = 480 \times (200 - 3) = 480 \times 200 - 480 \times 3 \]
\[ 480 \times 200 = 96000 \]
\[ 480 \times 3 = 1440 \]
\[ 96000 - 1440 = 94560 \]

Thus, the total number of stuffed animals produced is:
### Answer: 94560

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?

GPT-4o:

To determine the new total number of stuffed animals produced, we need to multiply the new production rate per hour by the number of hours the factory operates.

Given:
- The new production rate is 452 stuffed animals every hour.
- The factory operates for 197 hours.

We calculate the total production as follows:
\[ 452 \text{ stuffed animals/hour} \times 197 \text{ hours} \]

Performing the multiplication:
\[ 452 \times 197 = 452 \times (200 - 3) = 452 \times 200 - 452 \times 3 \]
\[ 452 \times 200 = 90400 \]
\[ 452 \times 3 = 1356 \]
\[ 90400 - 1356 = 89044 \]

Thus, the total number of stuffed animals produced is:
### Answer: 89044

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?

GPT-4o:

To find the total number of work units required to make all the doors, we need to multiply the number of doors by the work units required for each door.

Given:
- Number of doors = 77
- Work units per door = 1209

We calculate the total work units as follows:
\[ 77 \times 1209 \]

First, we break down the multiplication for clarity:
\[ 77 \times 1209 = 77 \times (1200 + 9) \]
\[ = 77 \times 1200 + 77 \times 9 \]

Now, calculate each part separately:
\[ 77 \times 1200 = 77 \times 12 \times 100 = 924 \times 100 = 92400 \]
\[ 77 \times 9 = 693 \]

Adding these results together:
\[ 92400 + 693 = 93093 \]

Therefore, the total number of work units required to make all the doors is:
### Answer: 93093

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?

GPT-4o:

To find the total number of work units required with the updated information, we need to multiply the number of doors by the new work units required for each door.

Given:
- Number of doors = 77
- Updated work units per door = 723

We calculate the total work units as follows:
\[ 77 \times 723 \]

First, we break down the multiplication for clarity:
\[ 77 \times 723 = 77 \times (700 + 23) \]
\[ = 77 \times 700 + 77 \times 23 \]

Now, calculate each part separately:
\[ 77 \times 700 = 77 \times 7 \times 100 = 539 \times 100 = 53900 \]
\[ 77 \times 23 = 77 \times (20 + 3) = 77 \times 20 + 77 \times 3 \]
\[ 77 \times 20 = 1540 \]
\[ 77 \times 3 = 231 \]

Adding these results together:
\[ 1540 + 231 = 1771 \]

Now, add the two main parts:
\[ 53900 + 1771 = 55671 \]

Therefore, the total number of work units required to make all the doors with the updated work units per door is:
### Answer: 55671

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?

GPT-4o:

To find the total number of tomatoes collected, we need to multiply the number of tomatoes collected from each plant by the number of plants.

Given:
- Number of tomatoes per plant = 2473
- Number of plants = 23

We perform the multiplication:
\[ 2473 \times 23 \]

First, we break it down:
\[ 2473 \times 23 = 2473 \times (20 + 3) \]
\[ = 2473 \times 20 + 2473 \times 3 \]

Calculate each part separately:
\[ 2473 \times 20 = 49460 \]
\[ 2473 \times 3 = 7419 \]

Now, add the two results together:
\[ 49460 + 7419 = 56879 \]

### 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?

GPT-4o:

To find the total number of tomatoes collected, we need to multiply the number of tomatoes collected from each plant by the number of plants.

Given:
- Number of tomatoes per plant = 4156
- Number of plants = 23

We perform the multiplication:
\[ 4156 \times 23 \]

First, we break it down:
\[ 4156 \times 23 = 4156 \times (20 + 3) \]
\[ = 4156 \times 20 + 4156 \times 3 \]

Calculate each part separately:
\[ 4156 \times 20 = 83120 \]
\[ 4156 \times 3 = 12468 \]

Now, add the two results together:
\[ 83120 + 12468 = 95588 \]

### 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?

GPT-4o:

To determine the total number of pairs of pants sold in two months, we need to multiply the number of pairs sold each day by the number of days the store is open.

First, we know the store sells 699 pairs of pants each day. The store is open for 51 days in two months.

We calculate the total number of pairs of pants sold as follows:
\[ 699 \text{ pairs/day} \times 51 \text{ days} = 35,649 \text{ pairs} \]

### Answer: 35,649 pairs

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?

GPT-4o:

To determine the total number of pairs of pants sold in two months with the increased daily sales, we need to multiply the new number of pairs sold each day by the number of days the store is open.

First, we know the store now sells 1462 pairs of pants each day. The store is open for 51 days in two months.

We calculate the total number of pairs of pants sold as follows:
\[ 1462 \text{ pairs/day} \times 51 \text{ days} = 74,562 \text{ pairs} \]

### Answer: 74,562 pairs

Expected answer: 74562

Correct? Yes

🔗 Problem

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

GPT-4o:

To multiply the number 3639 by 10, you simply add a zero to the end of the number. This is because multiplying by 10 shifts all digits one place to the left.

So, \( 3639 \times 10 = 36390 \).

### 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?

GPT-4o:

To multiply the number 7033 by 10, you add a zero to the end of the number. This shifts all digits one place to the left.

So, \( 7033 \times 10 = 70330 \).

### 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?

GPT-4o:

To find the total number of keys sold, we need to multiply the number of packs by the number of keys in each pack.

Number of packs sold: 14
Number of keys per pack: 6314

Total keys sold = Number of packs × Number of keys per pack
Total keys sold = 14 × 6314

Let's perform the multiplication:

\[
14 \times 6314 = 14 \times (6000 + 300 + 10 + 4)
\]

Using the distributive property:

\[
14 \times 6000 = 84000
\]
\[
14 \times 300 = 4200
\]
\[
14 \times 10 = 140
\]
\[
14 \times 4 = 56
\]

Now, add these products together:

\[
84000 + 4200 + 140 + 56 = 88396
\]

### Answer: 88396

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?

GPT-4o:

To find the total number of keys sold from the smaller packs, we need to multiply the number of packs by the number of keys in each pack.

Number of packs sold: 14
Number of keys per pack: 4352

Total keys sold = Number of packs × Number of keys per pack
Total keys sold = 14 × 4352

Let's perform the multiplication:

\[
14 \times 4352 = 14 \times (4000 + 300 + 50 + 2)
\]

Using the distributive property:

\[
14 \times 4000 = 56000
\]
\[
14 \times 300 = 4200
\]
\[
14 \times 50 = 700
\]
\[
14 \times 2 = 28
\]

Now, add these products together:

\[
56000 + 4200 + 700 + 28 = 60928
\]

### Answer: 60928

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?

GPT-4o:

To find the total number of units of sand used, we need to multiply the number of units of sand required for one castle by the number of castles built.

Given:
- Units of sand needed for one castle = 149
- Number of castles built = 478

We calculate the total units of sand used as follows:
\[ 149 \times 478 \]

First, we break down the multiplication for clarity:
\[ 149 \times 478 = 149 \times (400 + 70 + 8) \]
\[ = 149 \times 400 + 149 \times 70 + 149 \times 8 \]

Now, we calculate each term separately:
\[ 149 \times 400 = 59600 \]
\[ 149 \times 70 = 10430 \]
\[ 149 \times 8 = 1192 \]

Adding these results together:
\[ 59600 + 10430 + 1192 = 71222 \]

### Answer: 71222

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?

GPT-4o:

To determine the total amount of honey produced by the colony over 10 days, we need to multiply the daily production by the number of days.

Daily production of honey = 7364 grams
Number of days = 10

Total honey produced = Daily production × Number of days
Total honey produced = 7364 grams/day × 10 days

Calculating the product:
7364 × 10 = 73640 grams

### Answer: 73640 grams

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?

GPT-4o:

To determine the total amount of honey produced by the colony over 10 days with the new daily production rate, we need to multiply the daily production by the number of days.

Daily production of honey = 9201 grams
Number of days = 10

Total honey produced = Daily production × Number of days
Total honey produced = 9201 grams/day × 10 days

Calculating the product:
9201 × 10 = 92010 grams

### Answer: 92010 grams

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?

GPT-4o:

To determine the total number of pairs of ice skates produced by the factory over 3 days, we need to multiply the number of pairs produced in one day by the number of days they operate.

Given:
- Number of pairs of ice skates produced in one day = 591
- Number of days = 3

Calculation:
\[ 591 \text{ pairs/day} \times 3 \text{ days} = 1773 \text{ pairs} \]

### 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?

GPT-4o:

To determine the total number of pairs of ice skates produced by the factory over 3 days with the increased production rate, we need to multiply the new number of pairs produced in one day by the number of days they operate.

Given:
- New number of pairs of ice skates produced in one day = 1924
- Number of days = 3

Calculation:
\[ 1924 \text{ pairs/day} \times 3 \text{ days} = 5772 \text{ pairs} \]

### 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?

GPT-4o:

To find the total number of unique characteristics across all frog species in the region, we need to multiply the number of species by the average number of unique characteristics per species.

Given:
- Number of species of frogs = 1381
- Average number of unique characteristics per species = 18

We calculate the total number of unique characteristics as follows:
\[ 1381 \times 18 \]

First, let's break down the multiplication for clarity:
\[ 1381 \times 18 = 1381 \times (10 + 8) \]
\[ = 1381 \times 10 + 1381 \times 8 \]
\[ = 13810 + 11048 \]

Now, we add these two results together:
\[ 13810 + 11048 = 24858 \]

Thus, the total number of unique characteristics across all frog species in the region is:
### Answer: 24858

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?

GPT-4o:

To find the total number of unique characteristics across all frog species in the region with the corrected number of species, we need to multiply the new number of species by the average number of unique characteristics per species.

Given:
- Corrected number of species of frogs = 878
- Average number of unique characteristics per species = 18

We calculate the total number of unique characteristics as follows:
\[ 878 \times 18 \]

First, let's break down the multiplication for clarity:
\[ 878 \times 18 = 878 \times (10 + 8) \]
\[ = 878 \times 10 + 878 \times 8 \]
\[ = 8780 + 7024 \]

Now, we add these two results together:
\[ 8780 + 7024 = 15804 \]

Thus, the total number of unique characteristics across all frog species in the region is:
### Answer: 15804

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?

GPT-4o:

To find the total number of gold coins in all the treasure chests, we need to multiply the number of gold coins in one chest by the number of chests.

Given:
- Number of gold coins in one chest = 935
- Number of treasure chests = 93

We calculate the total number of gold coins as follows:
\[ 935 \times 93 \]

First, we can break this multiplication into simpler parts using the distributive property:
\[ 935 \times 93 = 935 \times (90 + 3) \]
\[ = 935 \times 90 + 935 \times 3 \]

Now, calculate each part separately:
\[ 935 \times 90 = 935 \times (9 \times 10) = (935 \times 9) \times 10 \]
\[ 935 \times 9 = 8415 \]
\[ 8415 \times 10 = 84150 \]

Next, calculate:
\[ 935 \times 3 = 2805 \]

Finally, add the two results together:
\[ 84150 + 2805 = 86955 \]

### Answer: 86955

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?

GPT-4o:

To find the total number of gold coins in all the treasure chests, we need to multiply the number of gold coins in one chest by the number of chests.

Given:
- Number of gold coins in one chest = 692
- Number of treasure chests = 93

We calculate the total number of gold coins as follows:
\[ 692 \times 93 \]

First, we can break this multiplication into simpler parts using the distributive property:
\[ 692 \times 93 = 692 \times (90 + 3) \]
\[ = 692 \times 90 + 692 \times 3 \]

Now, calculate each part separately:
\[ 692 \times 90 = 692 \times (9 \times 10) = (692 \times 9) \times 10 \]
\[ 692 \times 9 = 6228 \]
\[ 6228 \times 10 = 62280 \]

Next, calculate:
\[ 692 \times 3 = 2076 \]

Finally, add the two results together:
\[ 62280 + 2076 = 64356 \]

### Answer: 64356

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?

GPT-4o:

To determine the number of beds produced in a week, we need to multiply the number of beds produced in a day by the number of days the company operates in a week.

Given:
- Number of beds produced in a day = 4838
- Number of operating days in a week = 6

Calculation:
\[ 4838 \text{ beds/day} \times 6 \text{ days/week} = 29028 \text{ beds/week} \]

### Answer: 29028

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?

GPT-4o:

To determine the number of beds produced in a week with the new production rate, we need to multiply the number of beds produced in a day by the number of days the company operates in a week.

Given:
- New number of beds produced in a day = 7776
- Number of operating days in a week = 6

Calculation:
\[ 7776 \text{ beds/day} \times 6 \text{ days/week} = 46656 \text{ beds/week} \]

### Answer: 46656

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?

GPT-4o:

To determine the total amount of fabric needed to make 3 dresses, we need to multiply the amount of fabric required for one dress by the number of dresses.

Given:
- Fabric needed for one dress = 806 yards
- Number of dresses = 3

Calculation:
\[ 806 \text{ yards/dress} \times 3 \text{ dresses} = 2418 \text{ yards} \]

### Answer: 2418 yards

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?

GPT-4o:

To find the total amount of fabric needed for 3 dresses, we multiply the amount of fabric required for one dress by the number of dresses.

Given:
- Fabric needed for one dress = 7411 yards
- Number of dresses = 3

Calculation:
\[ 7411 \text{ yards/dress} \times 3 \text{ dresses} = 22233 \text{ yards} \]

### Answer: 22233 yards

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).

GPT-4o:

To find the total number of breaths the astronaut takes in a day, we need to multiply the number of breaths per hour by the number of hours in a day.

Given:
- Number of breaths per hour = 1907
- Number of hours in a day = 24

We calculate the total number of breaths in a day as follows:
\[ \text{Total breaths in a day} = 1907 \, \text{breaths/hour} \times 24 \, \text{hours} \]

Now, performing the multiplication:
\[ 1907 \times 24 = 45768 \]

### 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)?

GPT-4o:

To find the total number of breaths the astronaut takes in a day, we need to multiply the number of breaths per hour by the number of hours in a day.

Given:
- Number of breaths per hour = 169
- Number of hours in a day = 24

We calculate the total number of breaths in a day as follows:
\[ \text{Total breaths in a day} = 169 \, \text{breaths/hour} \times 24 \, \text{hours} \]

Now, performing the multiplication:
\[ 169 \times 24 = 4056 \]

### 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?

GPT-4o:

To find out how much money you would have earned in total, you need to multiply the amount you earn per week by the number of weeks.

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

The total earnings can be calculated as follows:
\[ \text{Total earnings} = \text{Weekly earnings} \times \text{Number of weeks} \]
\[ \text{Total earnings} = 817 \times 109 \]

Now, let's perform the multiplication:
\[ 817 \times 109 = 817 \times (100 + 9) \]
\[ = 817 \times 100 + 817 \times 9 \]
\[ = 81700 + 7353 \]
\[ = 89053 \]

### 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?

GPT-4o:

To find out how much money you would have earned in total, you need to multiply the amount you earn per week by the number of weeks.

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

The total earnings can be calculated as follows:
\[ \text{Total earnings} = \text{Weekly earnings} \times \text{Number of weeks} \]
\[ \text{Total earnings} = 597 \times 109 \]

Now, let's perform the multiplication:
\[ 597 \times 109 = 597 \times (100 + 9) \]
\[ = 597 \times 100 + 597 \times 9 \]
\[ = 59700 + 5373 \]
\[ = 65073 \]

### 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?

GPT-4o:

To find out how many sandwiches the shop sells in 103 days, we need to multiply the number of sandwiches sold each day by the number of days.

Number of sandwiches sold each day = 832
Number of days = 103

Now, we perform the multiplication:
\[ 832 \times 103 \]

First, we break it down:
\[ 832 \times 100 = 83200 \]
\[ 832 \times 3 = 2496 \]

Now, we add these two results together:
\[ 83200 + 2496 = 85696 \]

### Answer: 85696

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?

GPT-4o:

To determine how many sandwiches the shop would sell in 15 days, we need to multiply the number of sandwiches sold each day by the number of days.

Number of sandwiches sold each day = 832
Number of days = 15

Now, we perform the multiplication:
\[ 832 \times 15 \]

First, we break it down:
\[ 832 \times 10 = 8320 \]
\[ 832 \times 5 = 4160 \]

Now, we add these two results together:
\[ 8320 + 4160 = 12480 \]

### Answer: 12480

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?

GPT-4o:

To determine how many bananas ten monkeys can peel in one hour, we need to multiply the number of bananas one monkey can peel by the number of monkeys.

Given:
- One monkey can peel 1416 bananas in one hour.

Therefore, for ten monkeys:
\[ 1416 \text{ bananas/monkey} \times 10 \text{ monkeys} = 14160 \text{ bananas} \]

### Answer: 14160 bananas

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?

GPT-4o:

To determine how many bananas ten monkeys can peel in one hour if each monkey can peel 4876 bananas, we need to multiply the number of bananas one monkey can peel by the number of monkeys.

Given:
- One monkey can peel 4876 bananas in one hour.

Therefore, for ten monkeys:
\[ 4876 \text{ bananas/monkey} \times 10 \text{ monkeys} = 48760 \text{ bananas} \]

### Answer: 48760 bananas

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?

GPT-4o:

To determine the total number of scales the dragon has, we need to consider the number of scales on each part of its body and then sum them up.

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

Since each part has the same number of scales, we can calculate the total number of scales by multiplying the number of scales on one part by the total number of parts.

\[ \text{Total scales} = \text{Number of scales on one part} \times \text{Number of parts} \]

\[ \text{Total scales} = 9996 \times 5 \]

Now, let's perform the multiplication:

\[ 9996 \times 5 = 49980 \]

So, the dragon has a total of 49,980 scales.

### 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?

GPT-4o:

To determine the total number of scales the dragon has, we need to consider the number of scales on each part of its body and then sum them up.

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

Since each part has the same number of scales, we can calculate the total number of scales by multiplying the number of scales on one part by the total number of parts.

\[ \text{Total scales} = \text{Number of scales on one part} \times \text{Number of parts} \]

\[ \text{Total scales} = 904 \times 5 \]

Now, let's perform the multiplication:

\[ 904 \times 5 = 4520 \]

So, the dragon has a total of 4,520 scales.

### 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?

GPT-4o:

To find the total number of pairs of sunglasses produced, we need to multiply the number of pairs produced per day by the number of days of production.

Given:
- Number of pairs of sunglasses produced per day = 456
- Number of days of production = 89

We calculate the total production as follows:
\[ 456 \times 89 \]

First, we break down the multiplication for easier calculation:
\[ 456 \times 89 = 456 \times (90 - 1) \]
\[ = 456 \times 90 - 456 \times 1 \]
\[ = 456 \times 90 - 456 \]

Now, calculate each part:
\[ 456 \times 90 = 456 \times (9 \times 10) = (456 \times 9) \times 10 \]

First, calculate \( 456 \times 9 \):
\[ 456 \times 9 = 4104 \]

Then multiply by 10:
\[ 4104 \times 10 = 41040 \]

Now, subtract the second part:
\[ 41040 - 456 = 40584 \]

Thus, the total number of pairs of sunglasses produced is:
\[ 40584 \]

### Answer: 40584

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?

GPT-4o:

To find the total number of pairs of sunglasses produced under the new conditions, we need to multiply the number of pairs produced per day by the number of days of production.

Given:
- Number of pairs of sunglasses produced per day = 188
- Number of days of production = 89

We calculate the total production as follows:
\[ 188 \times 89 \]

First, we break down the multiplication for easier calculation:
\[ 188 \times 89 = 188 \times (90 - 1) \]
\[ = 188 \times 90 - 188 \times 1 \]
\[ = 188 \times 90 - 188 \]

Now, calculate each part:
\[ 188 \times 90 = 188 \times (9 \times 10) = (188 \times 9) \times 10 \]

First, calculate \( 188 \times 9 \):
\[ 188 \times 9 = 1692 \]

Then multiply by 10:
\[ 1692 \times 10 = 16920 \]

Now, subtract the second part:
\[ 16920 - 188 = 16732 \]

Thus, the total number of pairs of sunglasses produced is:
\[ 16732 \]

### Answer: 16732

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?

GPT-4o:

To find out how much time the doctor spends seeing patients in one day, we need to multiply the number of patients by the duration of each visit.

Number of patients: 19
Duration of each visit: 1943 seconds

Total time spent = Number of patients × Duration of each visit
Total time spent = 19 × 1943

Let's perform the multiplication:

\[
19 \times 1943 = 19 \times (2000 - 57) = (19 \times 2000) - (19 \times 57)
\]

First, calculate \(19 \times 2000\):

\[
19 \times 2000 = 38000
\]

Next, calculate \(19 \times 57\):

\[
19 \times 57 = 19 \times (50 + 7) = (19 \times 50) + (19 \times 7)
\]

\[
19 \times 50 = 950
\]

\[
19 \times 7 = 133
\]

Adding these together:

\[
950 + 133 = 1083
\]

Now, subtract \(1083\) from \(38000\):

\[
38000 - 1083 = 36917
\]

So, the total time the doctor spends seeing patients in one day is:

\[
19 \times 1943 = 36917 \text{ seconds}
\]

### Answer: 36917 seconds

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?

GPT-4o:

To find out how much time the doctor spends seeing patients in one day with each visit lasting 2822 seconds, we need to multiply the number of patients by the duration of each visit.

Number of patients: 19
Duration of each visit: 2822 seconds

Total time spent = Number of patients × Duration of each visit
Total time spent = 19 × 2822

Let's perform the multiplication:

\[
19 \times 2822 = 19 \times (2800 + 22) = (19 \times 2800) + (19 \times 22)
\]

First, calculate \(19 \times 2800\):

\[
19 \times 2800 = 19 \times (28 \times 100) = (19 \times 28) \times 100
\]

\[
19 \times 28 = 532
\]

\[
532 \times 100 = 53200
\]

Next, calculate \(19 \times 22\):

\[
19 \times 22 = 19 \times (20 + 2) = (19 \times 20) + (19 \times 2)
\]

\[
19 \times 20 = 380
\]

\[
19 \times 2 = 38
\]

Adding these together:

\[
380 + 38 = 418
\]

Now, add \(53200\) and \(418\):

\[
53200 + 418 = 53618
\]

So, the total time the doctor spends seeing patients in one day is:

\[
19 \times 2822 = 53618 \text{ seconds}
\]

### Answer: 53618 seconds

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?

GPT-4o:

To find the total number of apples the farmer gets in one season, we need to multiply the number of apple trees by the number of apples each tree produces.

Given:
- Number of apple trees = 600
- Number of apples per tree = 123

We calculate the total number of apples as follows:
\[ 600 \times 123 \]

First, we break down the multiplication for easier calculation:
\[ 600 \times 123 = 600 \times (100 + 20 + 3) \]
\[ = 600 \times 100 + 600 \times 20 + 600 \times 3 \]
\[ = 60000 + 12000 + 1800 \]

Now, we add these results together:
\[ 60000 + 12000 + 1800 = 73800 \]

### Answer: 73800

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?

GPT-4o:

To find the total number of pears the farmer gets in one season, we need to multiply the number of pear trees by the number of pears each tree produces.

Given:
- Number of pear trees = 519
- Number of pears per tree = 123

We calculate the total number of pears as follows:
\[ 519 \times 123 \]

First, we break down the multiplication for easier calculation:
\[ 519 \times 123 = 519 \times (100 + 20 + 3) \]
\[ = 519 \times 100 + 519 \times 20 + 519 \times 3 \]

Now, we calculate each term separately:
\[ 519 \times 100 = 51900 \]
\[ 519 \times 20 = 10380 \]
\[ 519 \times 3 = 1557 \]

Next, we add these results together:
\[ 51900 + 10380 + 1557 = 63837 \]

### Answer: 63837

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?

GPT-4o:

To determine how many leaves a giraffe eats in one day, we need to multiply the number of hours it spends eating by the number of leaves it consumes per hour.

Given:
- A giraffe spends 15 hours a day eating.
- A giraffe consumes 5490 leaves per hour.

Calculation:
\[ 15 \text{ hours/day} \times 5490 \text{ leaves/hour} = 82350 \text{ leaves/day} \]

### Answer: 82350

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?

GPT-4o:

To determine the total number of marshmallows produced by the company in 3 hours, we need to multiply the number of marshmallows produced in one hour by the number of hours the company operates.

Given:
- The company produces 4116 marshmallows in one hour.
- The company operates for 3 hours.

Calculation:
\[ 4116 \text{ marshmallows/hour} \times 3 \text{ hours} = 12348 \text{ marshmallows} \]

### 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?

GPT-4o:

To determine the new total number of marshmallows produced by the company in 3 hours, we need to multiply the increased number of marshmallows produced in one hour by the number of hours the company operates.

Given:
- The company now produces 4432 marshmallows in one hour.
- The company operates for 3 hours.

Calculation:
\[ 4432 \text{ marshmallows/hour} \times 3 \text{ hours} = 13296 \text{ marshmallows} \]

### 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?

GPT-4o:

To find the total weight of the clouds, we need to multiply the average weight of one cloud by the number of clouds.

Given:
- Average weight of one cloud = 2885 kg
- Number of clouds = 29

Total weight = Average weight of one cloud × Number of clouds
Total weight = 2885 kg × 29

Now, let's perform the multiplication:

\[
2885 \times 29 = 2885 \times (30 - 1) = 2885 \times 30 - 2885 \times 1
\]

First, calculate \( 2885 \times 30 \):

\[
2885 \times 30 = 2885 \times 3 \times 10 = 8655 \times 10 = 86550
\]

Next, calculate \( 2885 \times 1 \):

\[
2885 \times 1 = 2885
\]

Now, subtract the two results:

\[
86550 - 2885 = 83665
\]

Thus, the total weight of the 29 clouds is:

### Answer: 83665 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?

GPT-4o:

To find the total weight of the clouds with the new average weight, we need to multiply the new average weight of one cloud by the number of clouds.

Given:
- New average weight of one cloud = 1926 kg
- Number of clouds = 29

Total weight = New average weight of one cloud × Number of clouds
Total weight = 1926 kg × 29

Now, let's perform the multiplication:

\[
1926 \times 29 = 1926 \times (30 - 1) = 1926 \times 30 - 1926 \times 1
\]

First, calculate \( 1926 \times 30 \):

\[
1926 \times 30 = 1926 \times 3 \times 10 = 5778 \times 10 = 57780
\]

Next, calculate \( 1926 \times 1 \):

\[
1926 \times 1 = 1926
\]

Now, subtract the two results:

\[
57780 - 1926 = 55854
\]

Thus, the total weight of the 29 clouds with the new average weight is:

### Answer: 55854 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?

GPT-4o:

To determine the total number of tiny sparkling magic dust particles the fairy uses up in one day, we need to multiply the number of times she spreads the magic dust by the number of particles used each time.

The fairy spreads magic dust 43 times a day, and each time she uses 2230 particles.

So, we calculate:
\[ 43 \times 2230 \]

First, let's break it down for easier multiplication:
\[ 43 \times 2230 = 43 \times (2000 + 230) \]
\[ = 43 \times 2000 + 43 \times 230 \]

Now, calculate each part separately:
\[ 43 \times 2000 = 86000 \]
\[ 43 \times 230 = 43 \times (200 + 30) = 43 \times 200 + 43 \times 30 \]
\[ = 8600 + 1290 = 9890 \]

Adding these two results together:
\[ 86000 + 9890 = 95890 \]

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?

GPT-4o:

To find the total number of cameras produced in 27 days, we need to multiply the number of cameras produced in one day by the number of days the factory operates.

Given:
- Number of cameras produced in one day = 2818
- Number of days the factory operates = 27

We perform the multiplication:
\[ 2818 \times 27 \]

First, we break it down:
\[ 2818 \times 27 = 2818 \times (20 + 7) \]
\[ = 2818 \times 20 + 2818 \times 7 \]

Calculate each part separately:
\[ 2818 \times 20 = 56360 \]
\[ 2818 \times 7 = 19726 \]

Now, add the two results together:
\[ 56360 + 19726 = 76086 \]

### Answer: 76086

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?

GPT-4o:

To find the total number of cameras produced in 27 days when the factory produces 2795 cameras per day, we need to multiply the number of cameras produced in one day by the number of days the factory operates.

Given:
- Number of cameras produced in one day = 2795
- Number of days the factory operates = 27

We perform the multiplication:
\[ 2795 \times 27 \]

First, we break it down:
\[ 2795 \times 27 = 2795 \times (20 + 7) \]
\[ = 2795 \times 20 + 2795 \times 7 \]

Calculate each part separately:
\[ 2795 \times 20 = 55900 \]
\[ 2795 \times 7 = 19565 \]

Now, add the two results together:
\[ 55900 + 19565 = 75465 \]

### Answer: 75465

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?

GPT-4o:

To find the total amount of food consumed by all the elephants in a single day, we need to multiply the number of elephants by the amount of food each elephant consumes per day.

Given:
- Number of elephants = 177
- Amount of food consumed by each elephant per day = 326 kg

We perform the multiplication:
\[ 177 \times 326 \]

First, we break it down:
\[ 177 \times 326 = 177 \times (300 + 20 + 6) \]
\[ = 177 \times 300 + 177 \times 20 + 177 \times 6 \]

Now, calculate each term separately:
\[ 177 \times 300 = 53100 \]
\[ 177 \times 20 = 3540 \]
\[ 177 \times 6 = 1062 \]

Add these results together:
\[ 53100 + 3540 + 1062 = 57702 \]

Thus, the total amount of food consumed by all the elephants in a single day is:
### Answer: 57702 kg

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?

GPT-4o:

To find the total amount of food consumed by all the elephants in a single day with the new consumption rate, we need to multiply the number of elephants by the amount of food each elephant consumes per day.

Given:
- Number of elephants = 177
- Amount of food consumed by each elephant per day = 127 kg

We perform the multiplication:
\[ 177 \times 127 \]

First, we break it down:
\[ 177 \times 127 = 177 \times (100 + 20 + 7) \]
\[ = 177 \times 100 + 177 \times 20 + 177 \times 7 \]

Now, calculate each term separately:
\[ 177 \times 100 = 17700 \]
\[ 177 \times 20 = 3540 \]
\[ 177 \times 7 = 1239 \]

Add these results together:
\[ 17700 + 3540 + 1239 = 22479 \]

Thus, the total amount of food consumed by all the elephants in a single day is:
### Answer: 22479 kg

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?

GPT-4o:

To determine how many liters 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.

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

Calculation:
\[ \text{Total liters of water} = \text{Volume of the cloud} \times \text{Liters of water per cubic meter} \]
\[ \text{Total liters of water} = 20 \, \text{cubic meters} \times 1800 \, \text{liters per cubic meter} \]
\[ \text{Total liters of water} = 36000 \, \text{liters} \]

### Answer: 36000 liters

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?

GPT-4o:

To determine how many liters of water the cloud can hold with the new capacity, we need to multiply the volume of the cloud by the new amount of water it can hold per cubic meter.

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

Calculation:
\[ \text{Total liters of water} = \text{Volume of the cloud} \times \text{Liters of water per cubic meter} \]
\[ \text{Total liters of water} = 20 \, \text{cubic meters} \times 830 \, \text{liters per cubic meter} \]
\[ \text{Total liters of water} = 16600 \, \text{liters} \]

### Answer: 16600 liters

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?

GPT-4o:

To find out how much the bakery earned, we need to multiply the number of cakes sold by the price per cake.

Number of cakes sold: 43
Price per cake: $1562

We perform the multiplication:
\[ 43 \times 1562 \]

First, we break it down for easier calculation:
\[ 43 \times 1562 = 43 \times (1500 + 62) \]
\[ = 43 \times 1500 + 43 \times 62 \]

Now, calculate each part separately:
\[ 43 \times 1500 = 64500 \]
\[ 43 \times 62 = 2666 \]

Add the two results together:
\[ 64500 + 2666 = 67166 \]

### Answer: $67166

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?

GPT-4o:

To determine how much the bakery would make from selling 43 cakes at $527 each, we need to multiply the number of cakes sold by the price per cake.

Number of cakes sold: 43
Price per cake: $527

We perform the multiplication:
\[ 43 \times 527 \]

First, we break it down for easier calculation:
\[ 43 \times 527 = 43 \times (500 + 27) \]
\[ = 43 \times 500 + 43 \times 27 \]

Now, calculate each part separately:
\[ 43 \times 500 = 21500 \]
\[ 43 \times 27 = 1161 \]

Add the two results together:
\[ 21500 + 1161 = 22661 \]

### Answer: $22661

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?

GPT-4o:

To determine the total weight that 2452 balloons can lift, we need to multiply the lifting capacity of one balloon by the total number of balloons.

Each balloon can lift 34 grams. Therefore, the total lifting capacity is:
\[ 34 \text{ grams/balloon} \times 2452 \text{ balloons} \]

Let's perform the multiplication:
\[ 34 \times 2452 \]

First, we break it down:
\[ 34 \times 2452 = 34 \times (2400 + 52) \]
\[ = 34 \times 2400 + 34 \times 52 \]

Now, calculate each part:
\[ 34 \times 2400 = 34 \times 24 \times 100 = 816 \times 100 = 81600 \]
\[ 34 \times 52 = 34 \times (50 + 2) = 34 \times 50 + 34 \times 2 \]
\[ = 1700 + 68 = 1768 \]

Adding these results together:
\[ 81600 + 1768 = 83368 \]

Thus, the total weight that 2452 balloons can lift is:
### Answer: 83368 grams

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?

GPT-4o:

To determine the total weight that 2257 balloons can lift, we need to multiply the lifting capacity of one balloon by the total number of balloons.

Each balloon can lift 34 grams. Therefore, the total lifting capacity is:
\[ 34 \text{ grams/balloon} \times 2257 \text{ balloons} \]

Let's perform the multiplication:
\[ 34 \times 2257 \]

First, we break it down:
\[ 34 \times 2257 = 34 \times (2200 + 57) \]
\[ = 34 \times 2200 + 34 \times 57 \]

Now, calculate each part:
\[ 34 \times 2200 = 34 \times 22 \times 100 = 748 \times 100 = 74800 \]
\[ 34 \times 57 = 34 \times (50 + 7) = 34 \times 50 + 34 \times 7 \]
\[ = 1700 + 238 = 1938 \]

Adding these results together:
\[ 74800 + 1938 = 76738 \]

Thus, the total weight that 2257 balloons can lift is:
### Answer: 76738 grams

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?

GPT-4o:

To determine the total number of sets of wheels made, we need to multiply the number of sets produced per day by the number of days in the production run.

Given:
- Number of sets of wheels produced per day = 6857
- Number of days in the production run = 10

We calculate the total production as follows:
\[ 6857 \text{ sets/day} \times 10 \text{ days} = 68570 \text{ sets} \]

### 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?

GPT-4o:

To determine the total number of sets of wheels made under the new condition, we need to multiply the number of sets produced per day by the number of days in the production run.

Given:
- Number of sets of wheels produced per day = 4400
- Number of days in the production run = 10

We calculate the total production as follows:
\[ 4400 \text{ sets/day} \times 10 \text{ days} = 44000 \text{ sets} \]

### 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?

GPT-4o:

To determine the total number of jackets produced, we need to multiply the number of jackets produced per day by the number of days.

Given:
- Jackets produced per day = 25
- Number of days = 1333

We calculate the total production as follows:
\[ \text{Total jackets} = 25 \times 1333 \]

First, let's break down the multiplication for clarity:
\[ 25 \times 1333 = 25 \times (1300 + 33) \]
\[ = 25 \times 1300 + 25 \times 33 \]
\[ = 32500 + 825 \]
\[ = 33325 \]

Thus, the total number of jackets produced in 1333 days is:
### Answer: 33325

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?

GPT-4o:

To determine the total number of jackets produced over 2353 days, we need to multiply the number of jackets produced per day by the number of days.

Given:
- Jackets produced per day = 25
- Number of days = 2353

We calculate the total production as follows:
\[ \text{Total jackets} = 25 \times 2353 \]

First, let's break down the multiplication for clarity:
\[ 25 \times 2353 = 25 \times (2300 + 53) \]
\[ = 25 \times 2300 + 25 \times 53 \]
\[ = 57500 + 1325 \]
\[ = 58825 \]

Thus, the total number of jackets produced in 2353 days is:
### Answer: 58825

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?

GPT-4o:

To determine the total number of bottles produced, we need to multiply the rate of production by the total time the factory runs.

The factory produces 46 bottles per minute. If it runs for 1337 minutes, we calculate the total production as follows:

\[ \text{Total bottles} = \text{Rate of production} \times \text{Total time} \]
\[ \text{Total bottles} = 46 \, \text{bottles/minute} \times 1337 \, \text{minutes} \]

Now, we perform the multiplication:

\[ 46 \times 1337 = 46 \times (1300 + 37) \]
\[ = 46 \times 1300 + 46 \times 37 \]
\[ = 59800 + 1702 \]
\[ = 61502 \]

Thus, the factory produces 61,502 bottles in 1337 minutes.

### Answer: 61502

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?

GPT-4o:

To determine the total number of bottles produced when the factory runs for 2047 minutes, we use the same method as before: multiplying the rate of production by the total time.

The factory produces 46 bottles per minute. If it runs for 2047 minutes, we calculate the total production as follows:

\[ \text{Total bottles} = \text{Rate of production} \times \text{Total time} \]
\[ \text{Total bottles} = 46 \, \text{bottles/minute} \times 2047 \, \text{minutes} \]

Now, we perform the multiplication:

\[ 46 \times 2047 = 46 \times (2000 + 47) \]
\[ = 46 \times 2000 + 46 \times 47 \]
\[ = 92000 + 2162 \]
\[ = 94162 \]

Thus, the factory produces 94,162 bottles in 2047 minutes.

### Answer: 94162

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?

GPT-4o:

To determine the total number of hats produced, we need to multiply the average number of hats manufactured per day by the number of days the machines were running.

Given:
- Average number of hats produced per day = 694
- Number of days the machines were running = 107

We calculate the total number of hats produced as follows:
\[ \text{Total hats} = \text{Average hats per day} \times \text{Number of days} \]
\[ \text{Total hats} = 694 \times 107 \]

Now, let's perform the multiplication:
\[ 694 \times 107 = 694 \times (100 + 7) \]
\[ = 694 \times 100 + 694 \times 7 \]
\[ = 69400 + 4858 \]
\[ = 74258 \]

### 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?

GPT-4o:

To determine the total number of hats produced with the new daily average, we need to multiply the new average number of hats manufactured per day by the number of days the machines were running.

Given:
- New average number of hats produced per day = 554
- Number of days the machines were running = 107

We calculate the total number of hats produced as follows:
\[ \text{Total hats} = \text{Average hats per day} \times \text{Number of days} \]
\[ \text{Total hats} = 554 \times 107 \]

Now, let's perform the multiplication:
\[ 554 \times 107 = 554 \times (100 + 7) \]
\[ = 554 \times 100 + 554 \times 7 \]
\[ = 55400 + 3878 \]
\[ = 59278 \]

### 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?

GPT-4o:

To determine the total number of cucumbers the farmer has grown, we need to multiply the number of cucumbers grown each day by the number of days.

The farmer grows 31 cucumbers each day. Over 2955 days, the total number of cucumbers grown is calculated as follows:

\[ 31 \text{ cucumbers/day} \times 2955 \text{ days} \]

Let's perform the multiplication:

\[ 31 \times 2955 = 31 \times (3000 - 45) \]
\[ = 31 \times 3000 - 31 \times 45 \]
\[ = 93000 - 1395 \]
\[ = 91605 \]

Thus, the farmer has grown a total of 91,605 cucumbers over 2955 days.

### 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?

GPT-4o:

To determine the total number of cucumbers the farmer will have grown, we need to multiply the number of cucumbers grown each day by the number of days.

The farmer grows 469 cucumbers each day. Over 31 days, the total number of cucumbers grown is calculated as follows:

\[ 469 \text{ cucumbers/day} \times 31 \text{ days} \]

Let's perform the multiplication:

\[ 469 \times 31 \]

We can break this down using the distributive property:

\[ 469 \times 31 = 469 \times (30 + 1) \]
\[ = 469 \times 30 + 469 \times 1 \]
\[ = 14070 + 469 \]
\[ = 14539 \]

Thus, the farmer will have grown a total of 14,539 cucumbers after 31 days.

### 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?

GPT-4o:

To determine the total worth of grapes produced by the vine each day, we need to multiply the number of bunches of grapes produced by the price per bunch.

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

We calculate the total worth as follows:
\[ \text{Total worth} = \text{Number of bunches} \times \text{Price per bunch} \]
\[ \text{Total worth} = 10 \times 715 \]

Now, perform the multiplication:
\[ 10 \times 715 = 7150 \]

### Answer: $7150

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?

GPT-4o:

To determine the total distance flown by the plane, we can use the formula for distance, which is:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed of the plane = 850 kilometers per hour
- Time flown = 109 hours

Substitute the given values into the formula:

\[ \text{Distance} = 850 \, \text{km/h} \times 109 \, \text{hours} \]

Now, perform the multiplication:

\[ 850 \times 109 = 850 \times (100 + 9) = (850 \times 100) + (850 \times 9) \]
\[ 850 \times 100 = 85000 \]
\[ 850 \times 9 = 7650 \]

Add these two results together:

\[ 85000 + 7650 = 92650 \]

Therefore, the plane will have flown 92,650 kilometers.

### Answer: 92,650 kilometers

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?

GPT-4o:

To determine the total distance flown by the plane at the slower speed, we use the same distance formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed of the plane = 43 kilometers per hour
- Time flown = 109 hours

Substitute the given values into the formula:

\[ \text{Distance} = 43 \, \text{km/h} \times 109 \, \text{hours} \]

Now, perform the multiplication:

\[ 43 \times 109 = 43 \times (100 + 9) = (43 \times 100) + (43 \times 9) \]
\[ 43 \times 100 = 4300 \]
\[ 43 \times 9 = 387 \]

Add these two results together:

\[ 4300 + 387 = 4687 \]

Therefore, the plane will have flown 4,687 kilometers.

### Answer: 4,687 kilometers

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?

GPT-4o:

To find the total number of pairs of ice skates sold during the ice skating season, we need to multiply the number of pairs sold each week by the number of weeks in the season.

Given:
- Number of pairs sold each week = 548
- Number of weeks in the season = 179

We calculate the total as follows:
\[ 548 \times 179 \]

First, we break down the multiplication for easier calculation:
\[ 548 \times 179 = 548 \times (180 - 1) \]
\[ = 548 \times 180 - 548 \times 1 \]

Now, calculate each part separately:
\[ 548 \times 180 = 548 \times (100 + 80) \]
\[ = 548 \times 100 + 548 \times 80 \]
\[ = 54800 + 43840 \]
\[ = 98640 \]

Next, subtract the second part:
\[ 548 \times 1 = 548 \]

So, the total number of pairs sold is:
\[ 98640 - 548 = 98092 \]

### Answer: 98092

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?

GPT-4o:

To find the total number of pairs of ice skates sold during the 148 weeks, we need to multiply the number of pairs sold each week by the number of weeks.

Given:
- Number of pairs sold each week = 548
- Number of weeks = 148

We calculate the total as follows:
\[ 548 \times 148 \]

First, we break down the multiplication for easier calculation:
\[ 548 \times 148 = 548 \times (150 - 2) \]
\[ = 548 \times 150 - 548 \times 2 \]

Now, calculate each part separately:
\[ 548 \times 150 = 548 \times (100 + 50) \]
\[ = 548 \times 100 + 548 \times 50 \]
\[ = 54800 + 27400 \]
\[ = 82200 \]

Next, subtract the second part:
\[ 548 \times 2 = 1096 \]

So, the total number of pairs sold is:
\[ 82200 - 1096 = 81104 \]

### Answer: 81104

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?

GPT-4o:

To find the total earnings from selling 37 exotic flowers at $2293 each, we need to multiply the price per flower by the number of flowers sold.

\[
2293 \text{ dollars/flower} \times 37 \text{ flowers} = 84841 \text{ dollars}
\]

### Answer: 84841 dollars

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?

GPT-4o:

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.

Given:
- Number of crew members = 475
- Number of gold coins per crew member = 89

We perform the multiplication:

\[ 475 \times 89 \]

First, we break it down using the distributive property:

\[ 475 \times 89 = 475 \times (90 - 1) \]
\[ = 475 \times 90 - 475 \times 1 \]

Now, calculate each part separately:

\[ 475 \times 90 = 475 \times (9 \times 10) = (475 \times 9) \times 10 \]

First, calculate \( 475 \times 9 \):

\[ 475 \times 9 = 4275 \]

Then multiply by 10:

\[ 4275 \times 10 = 42750 \]

Next, calculate \( 475 \times 1 \):

\[ 475 \times 1 = 475 \]

Now, subtract the second part from the first part:

\[ 42750 - 475 = 42275 \]

Thus, the total number of gold coins on the pirate ship is:

### Answer: 42275

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?

GPT-4o:

To find the total number of gold coins on the pirate ship with 103 crew members, each having 89 gold coins, we need to multiply the number of crew members by the number of gold coins per crew member.

Given:
- Number of crew members = 103
- Number of gold coins per crew member = 89

We perform the multiplication:

\[ 103 \times 89 \]

First, we break it down using the distributive property:

\[ 103 \times 89 = 103 \times (90 - 1) \]
\[ = 103 \times 90 - 103 \times 1 \]

Now, calculate each part separately:

\[ 103 \times 90 = 103 \times (9 \times 10) = (103 \times 9) \times 10 \]

First, calculate \( 103 \times 9 \):

\[ 103 \times 9 = 927 \]

Then multiply by 10:

\[ 927 \times 10 = 9270 \]

Next, calculate \( 103 \times 1 \):

\[ 103 \times 1 = 103 \]

Now, subtract the second part from the first part:

\[ 9270 - 103 = 9167 \]

Thus, the total number of gold coins on the pirate ship is:

### Answer: 9167

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?

GPT-4o:

To find the total number of hats sold in one year, we need to multiply the number of hats sold each week by the number of weeks in a year.

Given:
- Number of hats sold each week = 159
- Number of weeks in a year = 52

First, we calculate the total number of hats sold in one year:
\[ 159 \text{ hats/week} \times 52 \text{ weeks/year} \]

Performing the multiplication:
\[ 159 \times 52 = 159 \times (50 + 2) = (159 \times 50) + (159 \times 2) \]
\[ 159 \times 50 = 7950 \]
\[ 159 \times 2 = 318 \]
\[ 7950 + 318 = 8268 \]

### Answer: 8268

Expected answer: 58671

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?

GPT-4o:

To find the total weight of gold the pirate ship is carrying, we need to multiply the weight of one load of gold by the number of loads.

Given:
- Weight of one load of gold = 8690 pounds
- Number of loads = 2

Calculation:
\[ \text{Total weight of gold} = \text{Weight of one load} \times \text{Number of loads} \]
\[ \text{Total weight of gold} = 8690 \, \text{pounds} \times 2 \]
\[ \text{Total weight of gold} = 17380 \, \text{pounds} \]

### Answer: 17380 pounds

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?

GPT-4o:

To find the total weight of gold the pirate ship is carrying on this subsequent trip, we need to multiply the weight of one load of gold by the number of loads.

Given:
- Weight of one load of gold = 3457 pounds
- Number of loads = 2

Calculation:
\[ \text{Total weight of gold} = \text{Weight of one load} \times \text{Number of loads} \]
\[ \text{Total weight of gold} = 3457 \, \text{pounds} \times 2 \]
\[ \text{Total weight of gold} = 6914 \, \text{pounds} \]

### Answer: 6914 pounds

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?

GPT-4o:

To find the total number of books the library can hold, we need to multiply the number of shelves by the number of books each shelf can hold.

Given:
- Number of shelves = 20
- Number of books per shelf = 3909

We perform the multiplication:
\[ 20 \times 3909 \]

First, we can break this down for easier calculation:
\[ 20 \times 3909 = 20 \times (4000 - 91) \]
\[ = 20 \times 4000 - 20 \times 91 \]
\[ = 80000 - 1820 \]
\[ = 78180 \]

Thus, 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?

GPT-4o:

To find the total number of books the library can hold after the remodeling, we need to multiply the number of shelves by the new capacity of books per shelf.

Given:
- Number of shelves = 20
- New number of books per shelf = 1920

We perform the multiplication:
\[ 20 \times 1920 \]

First, we can break this down for easier calculation:
\[ 20 \times 1920 = 20 \times (2000 - 80) \]
\[ = 20 \times 2000 - 20 \times 80 \]
\[ = 40000 - 1600 \]
\[ = 38400 \]

Thus, the library can hold a total of 38,400 books after the remodeling.

### 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?

GPT-4o:

To find the total number of individual superhero action figures, we need to multiply the number of sets by the number of action figures per set.

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

We perform the multiplication:
\[ 8193 \text{ sets} \times 4 \text{ action figures per set} = 32772 \text{ action figures} \]

### 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?

GPT-4o:

To find the total number of individual superhero action figures, we need to multiply the number of sets by the number of action figures per set.

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

We perform the multiplication:
\[ 3706 \text{ sets} \times 4 \text{ action figures per set} = 14824 \text{ action figures} \]

### 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?

GPT-4o:

To find the total number of carrots harvested, we need to multiply the number of plots of land by the number of carrots each plot yields.

Given:
- Number of plots of land = 177
- Carrots per plot = 380

We calculate the total number of carrots as follows:
\[ 177 \times 380 \]

First, we can break this multiplication into simpler parts:
\[ 177 \times 380 = 177 \times (300 + 80) \]
\[ = 177 \times 300 + 177 \times 80 \]

Now, calculate each part separately:
\[ 177 \times 300 = 53100 \]
\[ 177 \times 80 = 14160 \]

Add these two results together:
\[ 53100 + 14160 = 67260 \]

Thus, the total number of carrots harvested is:
### Answer: 67260

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?

GPT-4o:

To find the total number of additional carrots harvested, we need to multiply the number of additional plots of land by the number of carrots each plot yields.

Given:
- Number of additional plots of land = 220
- Carrots per plot = 380

We calculate the total number of additional carrots as follows:
\[ 220 \times 380 \]

First, we can break this multiplication into simpler parts:
\[ 220 \times 380 = 220 \times (300 + 80) \]
\[ = 220 \times 300 + 220 \times 80 \]

Now, calculate each part separately:
\[ 220 \times 300 = 66000 \]
\[ 220 \times 80 = 17600 \]

Add these two results together:
\[ 66000 + 17600 = 83600 \]

Thus, the total number of additional carrots harvested is:
### Answer: 83600

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?

GPT-4o:

To determine the total number of magical orbs produced, we need to multiply the number of orbs produced by one spell by the number of times the spell is cast.

The wizard casts the spell 4 times, and each spell yields 2009 magical orbs. Therefore, we calculate:

\[ 2009 \text{ orbs/spell} \times 4 \text{ spells} = 8036 \text{ orbs} \]

### 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?

GPT-4o:

To find the total number of magical orbs produced, we need to multiply the number of orbs produced by one spell by the number of times the spell is cast.

The wizard casts the spell 4 times, and each spell yields 2769 magical orbs. Therefore, we calculate:

\[ 2769 \text{ orbs/spell} \times 4 \text{ spells} = 11076 \text{ orbs} \]

### 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?

GPT-4o:

To determine how many miles a helicopter can cover in 28 days, we need to multiply the number of miles it can cover in one day by the number of days.

Given:
- The helicopter can cover 2265 miles in one day.
- We need to find the distance covered in 28 days.

Calculation:
\[ 2265 \text{ miles/day} \times 28 \text{ days} \]

Let's perform the multiplication:
\[ 2265 \times 28 \]

First, break it down:
\[ 2265 \times 28 = 2265 \times (20 + 8) \]
\[ = 2265 \times 20 + 2265 \times 8 \]

Calculate each part:
\[ 2265 \times 20 = 45300 \]
\[ 2265 \times 8 = 18120 \]

Now, add the two results together:
\[ 45300 + 18120 = 63420 \]

### Answer: 63420 miles

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?

GPT-4o:

To determine how many miles the helicopter can cover in 28 days when it can only cover 1060 miles in one day, we need to multiply the number of miles it can cover in one day by the number of days.

Given:
- The helicopter can cover 1060 miles in one day.
- We need to find the distance covered in 28 days.

Calculation:
\[ 1060 \text{ miles/day} \times 28 \text{ days} \]

Let's perform the multiplication:
\[ 1060 \times 28 \]

First, break it down:
\[ 1060 \times 28 = 1060 \times (20 + 8) \]
\[ = 1060 \times 20 + 1060 \times 8 \]

Calculate each part:
\[ 1060 \times 20 = 21200 \]
\[ 1060 \times 8 = 8480 \]

Now, add the two results together:
\[ 21200 + 8480 = 29680 \]

### Answer: 29680 miles

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?

GPT-4o:

To find the total number of beads used, we need to multiply the number of beads per necklace by the number of necklaces made.

Given:
- Number of beads per necklace = 1516
- Number of necklaces made = 51

We calculate the total number of beads as follows:
\[ \text{Total beads} = 1516 \times 51 \]

Let's perform the multiplication step-by-step:

\[ 1516 \times 51 = 1516 \times (50 + 1) \]
\[ = 1516 \times 50 + 1516 \times 1 \]
\[ = 1516 \times 50 + 1516 \]
\[ = 75800 + 1516 \]
\[ = 77316 \]

So, the jewelry maker used a total of 77,316 beads.

### 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?

GPT-4o:

To find the total number of beads used with the simplified design, we need to multiply the new number of beads per necklace by the number of necklaces made.

Given:
- New number of beads per necklace = 1196
- Number of necklaces made = 51

We calculate the total number of beads as follows:
\[ \text{Total beads} = 1196 \times 51 \]

Let's perform the multiplication step-by-step:

\[ 1196 \times 51 = 1196 \times (50 + 1) \]
\[ = 1196 \times 50 + 1196 \times 1 \]
\[ = 1196 \times 50 + 1196 \]
\[ = 59800 + 1196 \]
\[ = 60996 \]

So, the jewelry maker would use a total of 60,996 beads with the simplified design.

### 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?

GPT-4o:

To find the total number of tasks completed by all the students, we need to multiply the number of tasks per student by the number of students.

Each student has 425 tasks, and there are 116 students.

So, we calculate:
\[ 425 \times 116 \]

First, we break it down using the distributive property:
\[ 425 \times 116 = 425 \times (100 + 10 + 6) \]
\[ = 425 \times 100 + 425 \times 10 + 425 \times 6 \]

Now, we calculate each term separately:
\[ 425 \times 100 = 42500 \]
\[ 425 \times 10 = 4250 \]
\[ 425 \times 6 = 2550 \]

Adding these results together:
\[ 42500 + 4250 + 2550 = 49300 \]

Therefore, the total number of tasks completed by all the students is:
### Answer: 49300

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?

GPT-4o:

To find the total number of tasks completed by all the students with the new task bundle, we need to multiply the number of tasks per student by the number of students.

Each student now has 725 tasks, and there are 116 students.

So, we calculate:
\[ 725 \times 116 \]

First, we break it down using the distributive property:
\[ 725 \times 116 = 725 \times (100 + 10 + 6) \]
\[ = 725 \times 100 + 725 \times 10 + 725 \times 6 \]

Now, we calculate each term separately:
\[ 725 \times 100 = 72500 \]
\[ 725 \times 10 = 7250 \]
\[ 725 \times 6 = 4350 \]

Adding these results together:
\[ 72500 + 7250 + 4350 = 84100 \]

Therefore, the total number of tasks completed by all the students is:
### Answer: 84100

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?

GPT-4o:

To find the total number of cucumbers the farmer yields, we need to multiply the number of cucumbers per plant by the number of plants.

Given:
- Yield per plant = 72 cucumbers
- Number of plants = 255

We calculate the total yield as follows:
\[ \text{Total yield} = \text{Yield per plant} \times \text{Number of plants} \]
\[ \text{Total yield} = 72 \times 255 \]

Now, let's perform the multiplication:
\[ 72 \times 255 = 72 \times (250 + 5) \]
\[ = 72 \times 250 + 72 \times 5 \]
\[ = 18000 + 360 \]
\[ = 18360 \]

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

### 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?

GPT-4o:

To find the total number of cucumbers the farmer yields with each plant producing 203 cucumbers, we need to multiply the number of cucumbers per plant by the number of plants.

Given:
- Yield per plant = 203 cucumbers
- Number of plants = 255

We calculate the total yield as follows:
\[ \text{Total yield} = \text{Yield per plant} \times \text{Number of plants} \]
\[ \text{Total yield} = 203 \times 255 \]

Now, let's perform the multiplication:
\[ 203 \times 255 = 203 \times (250 + 5) \]
\[ = 203 \times 250 + 203 \times 5 \]
\[ = (203 \times 25 \times 10) + (203 \times 5) \]
\[ = (5075 \times 10) + 1015 \]
\[ = 50750 + 1015 \]
\[ = 51765 \]

Therefore, the farmer yields a total of 51,765 cucumbers.

### 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?

GPT-4o:

To determine how much money the shop makes by selling 84 fireplaces, we need to multiply the cost of one fireplace by the number of fireplaces sold.

The cost of one fireplace is $1047.
The number of fireplaces sold is 84.

We calculate the total revenue as follows:
\[ 1047 \times 84 \]

First, let's break down the multiplication for clarity:
\[ 1047 \times 84 = 1047 \times (80 + 4) \]
\[ = 1047 \times 80 + 1047 \times 4 \]

Now, calculate each part separately:
\[ 1047 \times 80 = 1047 \times 8 \times 10 = 8376 \times 10 = 83760 \]
\[ 1047 \times 4 = 4188 \]

Add these two results together:
\[ 83760 + 4188 = 87948 \]

So, the total revenue the shop makes by selling 84 fireplaces is:
### Answer: $87948

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?

GPT-4o:

To determine how much money the shop makes by selling 84 fireplaces at the reduced price of $944 each, we need to multiply the new price of one fireplace by the number of fireplaces sold.

The new cost of one fireplace is $944.
The number of fireplaces sold is 84.

We calculate the total revenue as follows:
\[ 944 \times 84 \]

First, let's break down the multiplication for clarity:
\[ 944 \times 84 = 944 \times (80 + 4) \]
\[ = 944 \times 80 + 944 \times 4 \]

Now, calculate each part separately:
\[ 944 \times 80 = 944 \times 8 \times 10 = 7552 \times 10 = 75520 \]
\[ 944 \times 4 = 3776 \]

Add these two results together:
\[ 75520 + 3776 = 79296 \]

So, the total revenue the shop makes by selling 84 fireplaces at the reduced price is:
### Answer: $79296

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?

GPT-4o:

To determine how many millimeters the snail will travel in 37 hours, we need to multiply its speed by the time it travels.

The speed of the snail is 1681 millimeters per hour, and it travels for 37 hours. Therefore, we calculate:

\[ 1681 \, \text{mm/hour} \times 37 \, \text{hours} \]

First, let's perform the multiplication:

\[ 1681 \times 37 \]

We can break this down using the distributive property:

\[ 1681 \times 37 = 1681 \times (30 + 7) \]
\[ = 1681 \times 30 + 1681 \times 7 \]

Now, calculate each part separately:

\[ 1681 \times 30 = 50430 \]
\[ 1681 \times 7 = 11767 \]

Add these two results together:

\[ 50430 + 11767 = 62297 \]

So, the snail will travel 62297 millimeters in 37 hours.

### Answer: 62297 millimeters

Expected answer: 62197

Correct? No

🔗 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?

GPT-4o:

To determine how many pencils the store will receive, we need to divide the total number of pencils by the number of stores.

Given:
- Total number of pencils = 9658
- Number of stores = 1

We perform the division:
\[ 9658 \div 1 = 9658 \]

So, 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?

GPT-4o:

To determine how many pencils the store will receive, we need to divide the total number of pencils by the number of stores.

Given:
- Total number of pencils = 7883
- Number of stores = 1

We perform the division:
\[ 7883 \div 1 = 7883 \]

So, 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?

GPT-4o:

To determine how much the designer spends on beads, we need to multiply the cost of one bead by the number of beads she buys.

The cost of one bead is $1056, and she buys 37 beads.

So, we calculate:
\[ 1056 \times 37 \]

First, let's break it down using the distributive property:
\[ 1056 \times 37 = 1056 \times (30 + 7) \]
\[ = 1056 \times 30 + 1056 \times 7 \]

Now, calculate each part separately:
\[ 1056 \times 30 = 1056 \times 3 \times 10 = 3168 \times 10 = 31680 \]
\[ 1056 \times 7 = 7392 \]

Finally, add the two results together:
\[ 31680 + 7392 = 39072 \]

### Answer: 39072 dollars

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?

GPT-4o:

To determine how much the designer spends on beads at the new price, we need to multiply the cost of one bead by the number of beads she buys.

The new cost of one bead is $1978, and she buys 37 beads.

So, we calculate:
\[ 1978 \times 37 \]

First, let's break it down using the distributive property:
\[ 1978 \times 37 = 1978 \times (30 + 7) \]
\[ = 1978 \times 30 + 1978 \times 7 \]

Now, calculate each part separately:
\[ 1978 \times 30 = 1978 \times 3 \times 10 = 5934 \times 10 = 59340 \]
\[ 1978 \times 7 = 13846 \]

Finally, add the two results together:
\[ 59340 + 13846 = 73186 \]

### Answer: 73186 dollars

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?

GPT-4o:

To find the total amount of fish consumed by the group of penguins over 3327 days, we need to multiply the average daily consumption by the number of days.

The average daily consumption is 19 kg, and the number of days is 3327.

\[
\text{Total amount of fish} = 19 \, \text{kg/day} \times 3327 \, \text{days}
\]

Now, we perform the multiplication:

\[
19 \times 3327 = 19 \times (3300 + 27) = (19 \times 3300) + (19 \times 27)
\]

First, calculate \(19 \times 3300\):

\[
19 \times 3300 = 19 \times 33 \times 100 = 627 \times 100 = 62700
\]

Next, calculate \(19 \times 27\):

\[
19 \times 27 = 19 \times (20 + 7) = (19 \times 20) + (19 \times 7) = 380 + 133 = 513
\]

Now, add the two results together:

\[
62700 + 513 = 63213
\]

### Answer: 63213 kg

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?

GPT-4o:

To find the total amount of fish consumed by the group of penguins over 2351 days, we need to multiply the average daily consumption by the number of days.

The average daily consumption is 19 kg, and the number of days is 2351.

\[
\text{Total amount of fish} = 19 \, \text{kg/day} \times 2351 \, \text{days}
\]

Now, we perform the multiplication:

\[
19 \times 2351 = 19 \times (2300 + 51) = (19 \times 2300) + (19 \times 51)
\]

First, calculate \(19 \times 2300\):

\[
19 \times 2300 = 19 \times 23 \times 100 = 437 \times 100 = 43700
\]

Next, calculate \(19 \times 51\):

\[
19 \times 51 = 19 \times (50 + 1) = (19 \times 50) + (19 \times 1) = 950 + 19 = 969
\]

Now, add the two results together:

\[
43700 + 969 = 44669
\]

### Answer: 44669 kg

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?

GPT-4o:

To determine the total number of juice packs sold each day, we need to multiply the number of crates sold by the number of juice packs per crate.

Given:
- Number of crates sold each day = 2921
- Number of juice packs per crate = 25

We perform the multiplication:
\[ 2921 \times 25 \]

First, we can break this multiplication into simpler parts:
\[ 2921 \times 25 = 2921 \times (20 + 5) \]
\[ = 2921 \times 20 + 2921 \times 5 \]

Now, calculate each part separately:
\[ 2921 \times 20 = 58420 \]
\[ 2921 \times 5 = 14605 \]

Add these two results together:
\[ 58420 + 14605 = 73025 \]

Thus, the company sells 73,025 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?

GPT-4o:

To determine the total number of juice packs sold each day with the new packaging, we need to multiply the number of crates sold by the number of juice packs per crate.

Given:
- Number of crates sold each day = 25
- Number of juice packs per crate = 1345

We perform the multiplication:
\[ 25 \times 1345 \]

First, we can break this multiplication into simpler parts:
\[ 25 \times 1345 = 25 \times (1000 + 300 + 40 + 5) \]
\[ = 25 \times 1000 + 25 \times 300 + 25 \times 40 + 25 \times 5 \]

Now, calculate each part separately:
\[ 25 \times 1000 = 25000 \]
\[ 25 \times 300 = 7500 \]
\[ 25 \times 40 = 1000 \]
\[ 25 \times 5 = 125 \]

Add these results together:
\[ 25000 + 7500 + 1000 + 125 = 33625 \]

Thus, the company sells 33,625 packs of juice each day with the new packaging.

### 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?

GPT-4o:

To determine how many tables the factory will produce in 3 weeks, we need to multiply the number of tables produced in one week by the number of weeks.

Given:
- Number of tables produced in one week = 6287
- Number of weeks = 3

Calculation:
\[ 6287 \text{ tables/week} \times 3 \text{ weeks} = 18861 \text{ tables} \]

### 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?

GPT-4o:

To determine how many tables the factory will produce in 3 weeks at the decreased production rate, we need to multiply the number of tables produced in one week by the number of weeks.

Given:
- Number of tables produced in one week = 2093
- Number of weeks = 3

Calculation:
\[ 2093 \text{ tables/week} \times 3 \text{ weeks} = 6279 \text{ tables} \]

### 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?

GPT-4o:

To find the total number of socks produced, we need to multiply the number of socks produced per hour by the number of hours the factory operates.

Given:
- The factory produces 869 socks per hour.
- The factory operates for 31 hours.

We calculate the total production as follows:
\[ 869 \text{ socks/hour} \times 31 \text{ hours} = 26939 \text{ socks} \]

### Answer: 26939

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?

GPT-4o:

To determine how many times the rainbow has been spotted over 22 years, we need to multiply the number of occurrences per year by the number of years.

Given:
- Number of occurrences per year = 1347
- Number of years = 22

We perform the multiplication:
\[ 1347 \times 22 \]

First, break it down:
\[ 1347 \times 22 = 1347 \times (20 + 2) \]
\[ = 1347 \times 20 + 1347 \times 2 \]

Calculate each part:
\[ 1347 \times 20 = 26940 \]
\[ 1347 \times 2 = 2694 \]

Now, add the results:
\[ 26940 + 2694 = 29634 \]

### 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?

GPT-4o:

To determine how many times the rainbow has been spotted over 22 years, we need to multiply the number of occurrences per year by the number of years.

Given:
- Number of occurrences per year = 1661
- Number of years = 22

We perform the multiplication:
\[ 1661 \times 22 \]

First, break it down:
\[ 1661 \times 22 = 1661 \times (20 + 2) \]
\[ = 1661 \times 20 + 1661 \times 2 \]

Calculate each part:
\[ 1661 \times 20 = 33220 \]
\[ 1661 \times 2 = 3322 \]

Now, add the results:
\[ 33220 + 3322 = 36542 \]

### 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?

GPT-4o:

To determine how much water the cloud formation can hold when spread out over 10 square miles, we need to multiply the amount of water it can hold per square mile by the number of square miles.

Given:
- Water per square mile = 1859 gallons
- Number of square miles = 10

Calculation:
\[ 1859 \, \text{gallons/square mile} \times 10 \, \text{square miles} = 18590 \, \text{gallons} \]

### Answer: 18590 gallons

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?

GPT-4o:

To determine how much water the larger cloud formation can hold, we need to multiply the amount of water it can hold per square mile by the number of square miles.

Given:
- Water per square mile = 10 gallons
- Number of square miles = 2622

Calculation:
\[ 10 \, \text{gallons/square mile} \times 2622 \, \text{square miles} = 26220 \, \text{gallons} \]

### Answer: 26220 gallons

Expected answer: 26220

Correct? Yes

🔗 Problem

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

GPT-4o:

To find the total revenue earned by selling 79 packs of cards at 439 dollars per pack, we need to multiply the number of packs by the price per pack.

\[
\text{Total Revenue} = \text{Number of Packs} \times \text{Price per Pack}
\]

Substituting the given values:

\[
\text{Total Revenue} = 79 \times 439
\]

Now, let's perform the multiplication:

\[
79 \times 439 = 79 \times (400 + 39) = (79 \times 400) + (79 \times 39)
\]

First, calculate \(79 \times 400\):

\[
79 \times 400 = 31600
\]

Next, calculate \(79 \times 39\):

\[
79 \times 39 = 79 \times (40 - 1) = (79 \times 40) - (79 \times 1)
\]

\[
79 \times 40 = 3160
\]

\[
79 \times 1 = 79
\]

\[
79 \times 39 = 3160 - 79 = 3081
\]

Now, add the two results together:

\[
31600 + 3081 = 34681
\]

### Answer: 34681 dollars

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?

GPT-4o:

To find the total revenue earned by selling 79 packs of cards at 326 dollars per pack, we need to multiply the number of packs by the new price per pack.

\[
\text{Total Revenue} = \text{Number of Packs} \times \text{Price per Pack}
\]

Substituting the given values:

\[
\text{Total Revenue} = 79 \times 326
\]

Now, let's perform the multiplication:

\[
79 \times 326 = 79 \times (300 + 26) = (79 \times 300) + (79 \times 26)
\]

First, calculate \(79 \times 300\):

\[
79 \times 300 = 23700
\]

Next, calculate \(79 \times 26\):

\[
79 \times 26 = 79 \times (20 + 6) = (79 \times 20) + (79 \times 6)
\]

\[
79 \times 20 = 1580
\]

\[
79 \times 6 = 474
\]

\[
79 \times 26 = 1580 + 474 = 2054
\]

Now, add the two results together:

\[
23700 + 2054 = 25754
\]

### Answer: 25754 dollars

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?

GPT-4o:

To find the total number of bolts used, we need to multiply the number of bolts used for each jungle gym by the number of jungle gyms built.

Given:
- Number of bolts per jungle gym = 1429
- Number of jungle gyms built = 47

We calculate the total number of bolts as follows:
\[ 1429 \times 47 \]

First, we break down the multiplication for easier calculation:
\[ 1429 \times 47 = 1429 \times (40 + 7) \]
\[ = 1429 \times 40 + 1429 \times 7 \]

Now, calculate each part separately:
\[ 1429 \times 40 = 1429 \times 4 \times 10 = 5716 \times 10 = 57160 \]
\[ 1429 \times 7 = 10000 - 1000 + 300 - 70 + 3 = 10003 \]

Adding these two results together:
\[ 57160 + 10003 = 67163 \]

Therefore, the total number of bolts used is:
### Answer: 67163

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?

GPT-4o:

To find the total number of bolts used for the smaller jungle gyms, we need to multiply the number of bolts required for each smaller jungle gym by the number of smaller jungle gyms built.

Given:
- Number of bolts per smaller jungle gym = 385
- Number of smaller jungle gyms built = 47

We calculate the total number of bolts as follows:
\[ 385 \times 47 \]

First, we break down the multiplication for easier calculation:
\[ 385 \times 47 = 385 \times (40 + 7) \]
\[ = 385 \times 40 + 385 \times 7 \]

Now, calculate each part separately:
\[ 385 \times 40 = 385 \times 4 \times 10 = 1540 \times 10 = 15400 \]
\[ 385 \times 7 = 385 \times 7 = 2695 \]

Adding these two results together:
\[ 15400 + 2695 = 18095 \]

Therefore, the total number of bolts used is:
### Answer: 18095

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?

GPT-4o:

To find the total number of backpacks ordered by the school, we need to multiply the number of bundles by the number of backpacks per bundle.

Given:
- Number of bundles = 64
- Number of backpacks per bundle = 1283

We calculate the total number of backpacks as follows:
\[ \text{Total backpacks} = \text{Number of bundles} \times \text{Number of backpacks per bundle} \]
\[ \text{Total backpacks} = 64 \times 1283 \]

Now, let's perform the multiplication:
\[ 64 \times 1283 = 64 \times (1000 + 200 + 80 + 3) \]
\[ = 64 \times 1000 + 64 \times 200 + 64 \times 80 + 64 \times 3 \]
\[ = 64000 + 12800 + 5120 + 192 \]
\[ = 64000 + 12800 + 5120 + 192 \]
\[ = 81920 + 192 \]
\[ = 82112 \]

Therefore, the school orders a total of 82,112 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?

GPT-4o:

To find the total number of backpacks ordered by the smaller school, we need to multiply the number of bundles by the number of backpacks per bundle.

Given:
- Number of bundles = 64
- Number of backpacks per bundle = 424

We calculate the total number of backpacks as follows:
\[ \text{Total backpacks} = \text{Number of bundles} \times \text{Number of backpacks per bundle} \]
\[ \text{Total backpacks} = 64 \times 424 \]

Now, let's perform the multiplication:
\[ 64 \times 424 = 64 \times (400 + 20 + 4) \]
\[ = 64 \times 400 + 64 \times 20 + 64 \times 4 \]
\[ = 25600 + 1280 + 256 \]
\[ = 25600 + 1280 + 256 \]
\[ = 26880 + 256 \]
\[ = 27136 \]

Therefore, the smaller school orders a total of 27,136 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?

GPT-4o:

To determine the total amount of grain produced over 6 months, we need to multiply the monthly production by the number of months.

Given:
- Monthly production = 3813 pounds
- Number of months = 6

Calculation:
\[ 3813 \, \text{pounds/month} \times 6 \, \text{months} = 22878 \, \text{pounds} \]

### Answer: 22878 pounds

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?

GPT-4o:

To find out how many pairs of earrings the jeweler makes in a year, we need to multiply the number of pairs she makes each day by the number of days she works in a year.

Number of pairs of earrings made each day = 158
Number of days worked in a year = 142

Now, we calculate the total number of pairs of earrings made in a year:
\[ 158 \times 142 \]

First, we break down the multiplication for easier calculation:
\[ 158 \times 142 = 158 \times (100 + 40 + 2) \]
\[ = 158 \times 100 + 158 \times 40 + 158 \times 2 \]

Calculating each term separately:
\[ 158 \times 100 = 15800 \]
\[ 158 \times 40 = 6320 \]
\[ 158 \times 2 = 316 \]

Now, we add these results together:
\[ 15800 + 6320 + 316 = 22436 \]

### Answer: 22436

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?

GPT-4o:

To determine how many pairs of earrings the jeweler will produce in a year under the new regimen, we need to multiply the number of pairs she makes each day by the number of days she works in a year.

Number of pairs of earrings made each day = 36
Number of days worked in a year = 142

Now, we calculate the total number of pairs of earrings made in a year:
\[ 36 \times 142 \]

First, we break down the multiplication for easier calculation:
\[ 36 \times 142 = 36 \times (100 + 40 + 2) \]
\[ = 36 \times 100 + 36 \times 40 + 36 \times 2 \]

Calculating each term separately:
\[ 36 \times 100 = 3600 \]
\[ 36 \times 40 = 1440 \]
\[ 36 \times 2 = 72 \]

Now, we add these results together:
\[ 3600 + 1440 + 72 = 5112 \]

### Answer: 5112

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?

GPT-4o:

To determine how many wallets the manufacturer can make in 1244 hours, we need to multiply the number of wallets they can make in one hour by the total number of hours worked.

Given:
- The manufacturer can make 48 wallets in one hour.
- They worked for 1244 hours.

Calculation:
\[ 48 \text{ wallets/hour} \times 1244 \text{ hours} = 59712 \text{ wallets} \]

### Answer: 59712

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?

GPT-4o:

To find the total revenue generated by selling 15 phones, we need to multiply the price of one phone by the number of phones sold.

The price of one phone is $3915.

The number of phones sold is 15.

So, the total revenue is calculated as follows:
\[ \text{Total Revenue} = \text{Price per Phone} \times \text{Number of Phones Sold} \]
\[ \text{Total Revenue} = 3915 \times 15 \]

Now, let's perform the multiplication:
\[ 3915 \times 15 = 3915 \times (10 + 5) \]
\[ = 3915 \times 10 + 3915 \times 5 \]
\[ = 39150 + 19575 \]
\[ = 58725 \]

### Answer: $58725

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?

GPT-4o:

To determine the total amount of sugar needed, we need to multiply the number of cookies by the amount of sugar required for each cookie.

Given:
- Each cookie requires 40 grams of sugar.
- The caterer needs to bake 985 cookies.

Calculation:
\[ 985 \text{ cookies} \times 40 \text{ grams per cookie} = 39400 \text{ grams} \]

### Answer: 39400 grams

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?

GPT-4o:

To determine the total amount of sugar needed for the new order, we need to multiply the number of cookies by the amount of sugar required for each cookie.

Given:
- Each cookie requires 40 grams of sugar.
- The caterer needs to bake 838 cookies.

Calculation:
\[ 838 \text{ cookies} \times 40 \text{ grams per cookie} = 33520 \text{ grams} \]

### Answer: 33520 grams

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?

GPT-4o:

To find out how much oxygen the park produces in a year, we need to multiply the number of trees by the amount of oxygen each tree produces per year.

Number of trees: 4798
Oxygen produced per tree per year: 11 pounds

We perform the multiplication:
\[ 4798 \times 11 \]

First, we can break it down for easier calculation:
\[ 4798 \times 11 = 4798 \times (10 + 1) = 4798 \times 10 + 4798 \times 1 \]

Calculate each part:
\[ 4798 \times 10 = 47980 \]
\[ 4798 \times 1 = 4798 \]

Now, add the two results together:
\[ 47980 + 4798 = 52778 \]

So, the park produces 52,778 pounds of oxygen in a year.

### Answer: 52778 pounds

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?

GPT-4o:

To determine how much oxygen the park produces in a year with 8165 trees, we need to multiply the number of trees by the amount of oxygen each tree produces per year.

Number of trees: 8165
Oxygen produced per tree per year: 11 pounds

We perform the multiplication:
\[ 8165 \times 11 \]

First, we can break it down for easier calculation:
\[ 8165 \times 11 = 8165 \times (10 + 1) = 8165 \times 10 + 8165 \times 1 \]

Calculate each part:
\[ 8165 \times 10 = 81650 \]
\[ 8165 \times 1 = 8165 \]

Now, add the two results together:
\[ 81650 + 8165 = 89815 \]

So, the park produces 89,815 pounds of oxygen in a year.

### Answer: 89815 pounds

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?

GPT-4o:

To find the total number of bottles produced in 46 days, we need to multiply the daily production rate by the number of days.

Daily production rate: 2146 bottles
Number of days: 46

Total production = Daily production rate × Number of days
Total production = 2146 × 46

Now, let's perform the multiplication:

\[ 2146 \times 46 = 2146 \times (40 + 6) \]
\[ = 2146 \times 40 + 2146 \times 6 \]

First, calculate \( 2146 \times 40 \):

\[ 2146 \times 40 = 2146 \times 4 \times 10 \]
\[ = 8584 \times 10 \]
\[ = 85840 \]

Next, calculate \( 2146 \times 6 \):

\[ 2146 \times 6 = 12876 \]

Now, add the two results together:

\[ 85840 + 12876 = 98716 \]

So, the total number of bottles produced in 46 days is 98,716.

### Answer: 98,716

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?

GPT-4o:

To find the total number of bottles produced at the new daily production rate over 46 days, we need to multiply the new daily production rate by the number of days.

New daily production rate: 1747 bottles
Number of days: 46

Total production = New daily production rate × Number of days
Total production = 1747 × 46

Now, let's perform the multiplication:

\[ 1747 \times 46 = 1747 \times (40 + 6) \]
\[ = 1747 \times 40 + 1747 \times 6 \]

First, calculate \( 1747 \times 40 \):

\[ 1747 \times 40 = 1747 \times 4 \times 10 \]
\[ = 6988 \times 10 \]
\[ = 69880 \]

Next, calculate \( 1747 \times 6 \):

\[ 1747 \times 6 = 10482 \]

Now, add the two results together:

\[ 69880 + 10482 = 80362 \]

So, the total number of bottles produced in 46 days at the new production rate is 80,362.

### Answer: 80,362

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?

GPT-4o:

To determine the total amount of fuel the helicopter can hold when fully loaded, we need to multiply the capacity of one fuel tank by the number of fuel tanks.

Each fuel tank can hold 4366 liters of fuel, and there are 10 fuel tanks.

So, we calculate:
\[ 4366 \text{ liters/tank} \times 10 \text{ tanks} = 43660 \text{ liters} \]

### Answer: 43660 liters

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?

GPT-4o:

To find the total number of students that all the school buses can carry, we need to multiply the number of school buses by the number of students each bus can carry.

Given:
- Number of school buses = 148
- Number of students each bus can carry = 637

We perform the multiplication:
\[ 148 \times 637 \]

First, we break it down using the distributive property:
\[ 148 \times 637 = 148 \times (600 + 30 + 7) \]
\[ = 148 \times 600 + 148 \times 30 + 148 \times 7 \]

Now, we calculate each term separately:
\[ 148 \times 600 = 88,800 \]
\[ 148 \times 30 = 4,440 \]
\[ 148 \times 7 = 1,036 \]

Adding these results together:
\[ 88,800 + 4,440 + 1,036 = 94,276 \]

### 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?

GPT-4o:

To find the total number of students that all the school buses can carry with the new capacity, we need to multiply the number of school buses by the new number of students each bus can carry.

Given:
- Number of school buses = 148
- Number of students each bus can carry = 595

We perform the multiplication:
\[ 148 \times 595 \]

First, we break it down using the distributive property:
\[ 148 \times 595 = 148 \times (500 + 90 + 5) \]
\[ = 148 \times 500 + 148 \times 90 + 148 \times 5 \]

Now, we calculate each term separately:
\[ 148 \times 500 = 74,000 \]
\[ 148 \times 90 = 13,320 \]
\[ 148 \times 5 = 740 \]

Adding these results together:
\[ 74,000 + 13,320 + 740 = 88,060 \]

### 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?

GPT-4o:

To find the total amount spent on creating the prototypes, we need to multiply the cost per prototype by the number of prototypes made.

The cost per prototype is $480, and the number of prototypes made is 121.

\[
\text{Total cost} = \text{Cost per prototype} \times \text{Number of prototypes}
\]

\[
\text{Total cost} = 480 \times 121
\]

Now, we perform the multiplication:

\[
480 \times 121 = 480 \times (100 + 20 + 1) = 480 \times 100 + 480 \times 20 + 480 \times 1
\]

\[
480 \times 100 = 48000
\]

\[
480 \times 20 = 9600
\]

\[
480 \times 1 = 480
\]

Adding these together:

\[
48000 + 9600 + 480 = 58080
\]

### Answer: 58080

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?

GPT-4o:

To find the total amount spent on creating the prototypes with the reduced cost, we need to multiply the new cost per prototype by the number of prototypes made.

The new cost per prototype is $158, and the number of prototypes made is 121.

\[
\text{Total cost} = \text{Cost per prototype} \times \text{Number of prototypes}
\]

\[
\text{Total cost} = 158 \times 121
\]

Now, we perform the multiplication:

\[
158 \times 121 = 158 \times (100 + 20 + 1) = 158 \times 100 + 158 \times 20 + 158 \times 1
\]

\[
158 \times 100 = 15800
\]

\[
158 \times 20 = 3160
\]

\[
158 \times 1 = 158
\]

Adding these together:

\[
15800 + 3160 + 158 = 19118
\]

### Answer: 19118

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?

GPT-4o:

To determine how much money the store makes from selling ice skates, we need to multiply the number of pairs of ice skates sold by the price per pair.

Given:
- Price per pair of ice skates = $106
- Number of pairs sold = 406

We calculate the total revenue as follows:
\[ \text{Total Revenue} = \text{Price per pair} \times \text{Number of pairs sold} \]
\[ \text{Total Revenue} = 106 \times 406 \]

Now, let's perform the multiplication:
\[ 106 \times 406 = 106 \times (400 + 6) \]
\[ = 106 \times 400 + 106 \times 6 \]
\[ = 42400 + 636 \]
\[ = 43036 \]

Therefore, the store makes $43,036 from selling ice skates on that day.

### Answer: $43,036

Expected answer: 43036

Correct? Yes

🔗 Follow-up

Problem: On another exceptionally busy day at the skating equipment store, sales are even higher with 757 pairs of ice skates sold. At the same price of $106 each, how much money does the store make from selling ice skates on this second day?

GPT-4o:

To determine the total revenue from selling 757 pairs of ice skates at $106 each, we need to multiply the number of pairs sold by the price per pair.

Given:
- Price per pair of ice skates = $106
- Number of pairs sold = 757

We calculate the total revenue as follows:
\[ \text{Total Revenue} = \text{Price per pair} \times \text{Number of pairs sold} \]
\[ \text{Total Revenue} = 106 \times 757 \]

Now, let's perform the multiplication:
\[ 106 \times 757 = 106 \times (700 + 50 + 7) \]
\[ = 106 \times 700 + 106 \times 50 + 106 \times 7 \]
\[ = 74200 + 5300 + 742 \]
\[ = 80242 \]

Therefore, the store makes $80,242 from selling ice skates on this second day.

### Answer: $80,242

Expected answer: 80242

Correct? Yes

🔗 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?

GPT-4o:

To determine the total amount of light energy the sun emits over a period of 61 seconds, we need to multiply the energy emitted per second by the number of seconds.

Given:
- The sun emits 133 units of light energy every second.
- The time period is 61 seconds.

Calculation:
\[ \text{Total energy} = \text{Energy per second} \times \text{Number of seconds} \]
\[ \text{Total energy} = 133 \, \text{units/second} \times 61 \, \text{seconds} \]

Now, perform the multiplication:
\[ 133 \times 61 = 133 \times (60 + 1) \]
\[ 133 \times 61 = 133 \times 60 + 133 \times 1 \]
\[ 133 \times 60 = 7980 \]
\[ 133 \times 1 = 133 \]
\[ 7980 + 133 = 8113 \]

### Answer: 8113 units

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?

GPT-4o:

To determine the total amount of light energy the sun emits over a period of 150 seconds, we need to multiply the energy emitted per second by the number of seconds.

Given:
- The sun emits 133 units of light energy every second.
- The time period is 150 seconds.

Calculation:
\[ \text{Total energy} = \text{Energy per second} \times \text{Number of seconds} \]
\[ \text{Total energy} = 133 \, \text{units/second} \times 150 \, \text{seconds} \]

Now, perform the multiplication:
\[ 133 \times 150 = 133 \times (100 + 50) \]
\[ 133 \times 150 = 133 \times 100 + 133 \times 50 \]
\[ 133 \times 100 = 13300 \]
\[ 133 \times 50 = 6650 \]
\[ 13300 + 6650 = 19950 \]

### Answer: 19950 units

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?

GPT-4o:

To determine the total number of eggs laid by all the chickens in a day, we need to multiply the number of chickens by the number of eggs each chicken lays per day.

Given:
- Number of chickens = 8714
- Number of eggs each chicken lays per day = 5

We perform the multiplication:
\[ 8714 \times 5 = 43570 \]

Thus, the total number of eggs laid by all the chickens in a day is 43,570.

### 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?

GPT-4o:

To determine the total number of eggs laid by all the chickens in a day with the updated number of chickens, we need to multiply the new number of chickens by the number of eggs each chicken lays per day.

Given:
- Number of chickens = 4714
- Number of eggs each chicken lays per day = 5

We perform the multiplication:
\[ 4714 \times 5 = 23570 \]

Thus, the total number of eggs laid by all the chickens in a day is 23,570.

### 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?

GPT-4o:

To find the total number of drums at the event, we need to multiply the number of drummers by the number of drums each drummer brings.

Given:
- Number of drummers = 4417
- Number of drums each drummer brings = 13

We calculate the total number of drums as follows:
\[ 4417 \times 13 \]

First, we break down the multiplication for clarity:
\[ 4417 \times 13 = 4417 \times (10 + 3) \]
\[ = 4417 \times 10 + 4417 \times 3 \]

Now, calculate each part separately:
\[ 4417 \times 10 = 44170 \]
\[ 4417 \times 3 = 13251 \]

Add the two results together:
\[ 44170 + 13251 = 57421 \]

Thus, the total number of drums at the event is:
### Answer: 57421

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?

GPT-4o:

To find the total number of drums at the event with 2770 drummers, we need to multiply the number of drummers by the number of drums each drummer brings.

Given:
- Number of drummers = 2770
- Number of drums each drummer brings = 13

We calculate the total number of drums as follows:
\[ 2770 \times 13 \]

First, we break down the multiplication for clarity:
\[ 2770 \times 13 = 2770 \times (10 + 3) \]
\[ = 2770 \times 10 + 2770 \times 3 \]

Now, calculate each part separately:
\[ 2770 \times 10 = 27700 \]
\[ 2770 \times 3 = 8310 \]

Add the two results together:
\[ 27700 + 8310 = 36010 \]

Thus, the total number of drums at the event is:
### Answer: 36010

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?

GPT-4o:

To determine the total number of mobile phones produced in 4 days, we need to multiply the daily production rate by the number of days.

Daily production rate: 3017 mobile phones
Number of days: 4

Total production = Daily production rate × Number of days
Total production = 3017 × 4

Let's perform the multiplication:

\[
3017 \times 4 = 12068
\]

### 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?

GPT-4o:

To determine the total number of mobile phones produced in 4 days at the new production rate, we need to multiply the new daily production rate by the number of days.

New daily production rate: 8805 mobile phones
Number of days: 4

Total production = New daily production rate × Number of days
Total production = 8805 × 4

Let's perform the multiplication:

\[
8805 \times 4 = 35220
\]

### 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?

GPT-4o:

To determine the total amount of electricity generated by the wind turbine, we need to multiply the rate of electricity generation by the number of hours it operates.

The wind turbine generates 6843 kilowatt-hours of electricity per hour. If it operates for 4 hours, we calculate the total electricity generated as follows:

\[ 6843 \, \text{kWh/hour} \times 4 \, \text{hours} = 27372 \, \text{kWh} \]

### Answer: 27372 kWh

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?

GPT-4o:

To determine the total amount of electricity generated by the wind turbine at the new rate, we need to multiply the new rate of electricity generation by the number of hours it operates.

The wind turbine now generates 6983 kilowatt-hours of electricity per hour. If it operates for 4 hours, we calculate the total electricity generated as follows:

\[ 6983 \, \text{kWh/hour} \times 4 \, \text{hours} = 27932 \, \text{kWh} \]

### Answer: 27932 kWh

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?

GPT-4o:

To find the total number of birds living in the park, we need to multiply the number of trees by the number of birds per tree.

Given:
- Number of trees = 874
- Number of birds per tree = 68

We perform the multiplication:
\[ 874 \times 68 \]

First, we break it down:
\[ 874 \times 68 = 874 \times (70 - 2) \]
\[ = 874 \times 70 - 874 \times 2 \]

Now, calculate each part:
\[ 874 \times 70 = 874 \times (7 \times 10) = (874 \times 7) \times 10 \]
\[ 874 \times 7 = 6118 \]
\[ 6118 \times 10 = 61180 \]

Next, calculate:
\[ 874 \times 2 = 1748 \]

Finally, subtract the two results:
\[ 61180 - 1748 = 59432 \]

So, the total number of birds living in the park is:
### Answer: 59432

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?

GPT-4o:

To find the total number of birds living in the park with the updated number of trees, we need to multiply the number of trees by the number of birds per tree.

Given:
- Number of trees = 710
- Number of birds per tree = 68

We perform the multiplication:
\[ 710 \times 68 \]

First, we break it down:
\[ 710 \times 68 = 710 \times (70 - 2) \]
\[ = 710 \times 70 - 710 \times 2 \]

Now, calculate each part:
\[ 710 \times 70 = 710 \times (7 \times 10) = (710 \times 7) \times 10 \]
\[ 710 \times 7 = 4970 \]
\[ 4970 \times 10 = 49700 \]

Next, calculate:
\[ 710 \times 2 = 1420 \]

Finally, subtract the two results:
\[ 49700 - 1420 = 48280 \]

So, the total number of birds living in the park is:
### Answer: 48280

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?

GPT-4o:

To determine how much money John will have saved at the end of 50 days, we need to multiply the amount he saves each day by the number of days he saves.

John saves $80 each day, and he plans to save for 50 days. Therefore, the total amount saved is calculated as follows:

\[
80 \text{ dollars/day} \times 50 \text{ days} = 4000 \text{ dollars}
\]

### Answer: 4000 dollars

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?

GPT-4o:

To determine how much money John will have saved at the end of 50 days with his new daily savings amount, we need to multiply the amount he saves each day by the number of days he saves.

John now saves $687 each day, and he plans to save for 50 days. Therefore, the total amount saved is calculated as follows:

\[
687 \text{ dollars/day} \times 50 \text{ days} = 34350 \text{ dollars}
\]

### Answer: 34350 dollars

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?

GPT-4o:

To determine how many tires the bike shop sold altogether, we need to find out how many sets of 21 tires were sold from the total stock of 3978 tires.

First, we divide the total number of tires by the number of tires in each set:
\[ \frac{3978}{21} \]

Performing the division:
\[ 3978 \div 21 = 189.428571 \]

Since the bike shop can only sell whole sets of tires, we take the integer part of the division result, which is 189 sets.

Next, we calculate the total number of tires sold by multiplying the number of sets by the number of tires in each set:
\[ 189 \times 21 = 3969 \]

Thus, 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?

GPT-4o:

To determine the total number of chips produced by the factory, we need to multiply the number of chips produced per hour by the total number of hours worked.

Given:
- Chips produced per hour = 181
- Total hours worked = 475

We calculate the total number of chips as follows:
\[ \text{Total chips} = 181 \times 475 \]

Let's perform the multiplication step-by-step:

1. Multiply 181 by 5:
\[ 181 \times 5 = 905 \]

2. Multiply 181 by 70 (since 70 is 10 times 7):
\[ 181 \times 70 = 181 \times (7 \times 10) = (181 \times 7) \times 10 \]
\[ 181 \times 7 = 1267 \]
\[ 1267 \times 10 = 12670 \]

3. Multiply 181 by 400:
\[ 181 \times 400 = 181 \times (4 \times 100) = (181 \times 4) \times 100 \]
\[ 181 \times 4 = 724 \]
\[ 724 \times 100 = 72400 \]

4. Add the results of the three multiplications:
\[ 905 + 12670 + 72400 = 85975 \]

Thus, the factory would have produced a total of 85,975 chips in 475 hours.

### Answer: 85,975

Expected answer: 85975

Correct? Yes

🔗 Problem

Problem: A computer can execute 293 operations in 1 millisecond. If it runs for 192 milliseconds, how many operations will it have executed?

GPT-4o:

To determine the total number of operations executed by the computer, we need to multiply the number of operations it can execute per millisecond by the total number of milliseconds it runs.

Given:
- The computer executes 293 operations per millisecond.
- The computer runs for 192 milliseconds.

We calculate the total operations as follows:
\[ 293 \text{ operations/millisecond} \times 192 \text{ milliseconds} \]

First, let's perform the multiplication:
\[ 293 \times 192 \]

Breaking it down using the distributive property:
\[ 293 \times 192 = 293 \times (200 - 8) \]
\[ = 293 \times 200 - 293 \times 8 \]

Now, calculate each part:
\[ 293 \times 200 = 58600 \]
\[ 293 \times 8 = 2344 \]

Subtract the second product from the first:
\[ 58600 - 2344 = 56256 \]

Thus, the total number of operations executed by the computer is:
### Answer: 56256

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?

GPT-4o:

To determine the total number of operations executed by the computer at the reduced speed, we need to multiply the number of operations it can execute per millisecond by the total number of milliseconds it runs.

Given:
- The computer executes 125 operations per millisecond.
- The computer runs for 192 milliseconds.

We calculate the total operations as follows:
\[ 125 \text{ operations/millisecond} \times 192 \text{ milliseconds} \]

First, let's perform the multiplication:
\[ 125 \times 192 \]

Breaking it down using the distributive property:
\[ 125 \times 192 = 125 \times (200 - 8) \]
\[ = 125 \times 200 - 125 \times 8 \]

Now, calculate each part:
\[ 125 \times 200 = 25000 \]
\[ 125 \times 8 = 1000 \]

Subtract the second product from the first:
\[ 25000 - 1000 = 24000 \]

Thus, the total number of operations executed by the computer is:
### Answer: 24000

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?

GPT-4o:

To determine the total number of pillows produced in one day, we need to multiply the number of pillows produced in one shift by the number of shifts in a day.

Given:
- Number of pillows produced in one shift = 2796
- Number of shifts in a day = 2

Calculation:
\[ \text{Total pillows produced in one day} = 2796 \times 2 \]

\[ 2796 \times 2 = 5592 \]

### 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?

GPT-4o:

To determine the total number of pillows produced in one day with the new production rate, we need to multiply the number of pillows produced in one shift by the number of shifts in a day.

Given:
- Number of pillows produced in one shift = 6686
- Number of shifts in a day = 2

Calculation:
\[ \text{Total pillows produced in one day} = 6686 \times 2 \]

\[ 6686 \times 2 = 13372 \]

### 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?

GPT-4o:

To find the total number of grapes in the crate, we need to multiply the number of bunches by the number of grapes per bunch.

Given:
- Number of bunches in the crate = 8
- Number of grapes per bunch = 733

We perform the multiplication:
\[ 8 \times 733 = 5864 \]

Thus, the total number of grapes in the crate is 5864.

### Answer: 5864

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?

GPT-4o:

To determine the total number of grapes the grocery store would receive from two crates, we need to multiply the number of grapes in one crate by the number of crates.

From the previous problem, we know that one crate contains 5864 grapes.

Given:
- Number of crates = 2
- Number of grapes per crate = 5864

We perform the multiplication:
\[ 2 \times 5864 = 11728 \]

Thus, the grocery store would receive a total of 11728 grapes.

### Answer: 11728

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?

GPT-4o:

To find the total number of grapes in one crate, we need to multiply the number of bunches by the number of grapes per bunch.

Given:
- Number of bunches in the crate = 8
- Number of grapes per bunch = 3451

We perform the multiplication:
\[ 8 \times 3451 = 27608 \]

Thus, the total number of grapes in one crate is 27608.

### Answer: 27608

Expected answer: 27608

Correct? Yes