The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
Transcribed Image Text:**Problem Statement: Cookie Packing Challenge**
The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
**Instructions:**
- Calculate the total number of crates that can be filled.
- Consider that each crate contains 1,200 cookies (100 boxes of 12 cookies).
- Use division and subtraction to find the solution.
**Answer Submission:**
Enter your calculated answer in the box provided, then click "Submit Answer" to check your solution.
![**Problem Statement:**
The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
**Explanation:**
This problem involves determining how many crates can be filled given a total number of 3,258 cookies, where each crate contains 100 boxes, and each box contains 12 cookies.
To solve the problem:
1. Calculate how many cookies are in one crate:
\[
100 \text{ boxes} \times 12 \text{ cookies/box} = 1,200 \text{ cookies/crate}
\]
2. Divide the total number of cookies by the number of cookies per crate to find out how many full crates can be filled:
\[
3,258 \text{ cookies} \div 1,200 \text{ cookies/crate} = 2 \text{ full crates} \quad \text{(with some cookies left over)}
\]
3. Calculate the remaining cookies:
\[
3,258 \text{ cookies} - (2 \text{ crates} \times 1,200 \text{ cookies/crate}) = 858 \text{ cookies remaining}
\]
**Conclusion:**
- Total number of full crates that can be filled: 2
- Remaining cookies after filling crates: 858
**Interactive Component:**
On the educational website, students are prompted to type their solution in the "Enter answer" field and submit it by pressing the "Submit Answer" button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F471738d0-e56e-462e-90ba-f36e75d31591%2Fae5eeb94-6bb8-4998-ae27-7d01d95e5ae5%2Fmy4xohn_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?
**Explanation:**
This problem involves determining how many crates can be filled given a total number of 3,258 cookies, where each crate contains 100 boxes, and each box contains 12 cookies.
To solve the problem:
1. Calculate how many cookies are in one crate:
\[
100 \text{ boxes} \times 12 \text{ cookies/box} = 1,200 \text{ cookies/crate}
\]
2. Divide the total number of cookies by the number of cookies per crate to find out how many full crates can be filled:
\[
3,258 \text{ cookies} \div 1,200 \text{ cookies/crate} = 2 \text{ full crates} \quad \text{(with some cookies left over)}
\]
3. Calculate the remaining cookies:
\[
3,258 \text{ cookies} - (2 \text{ crates} \times 1,200 \text{ cookies/crate}) = 858 \text{ cookies remaining}
\]
**Conclusion:**
- Total number of full crates that can be filled: 2
- Remaining cookies after filling crates: 858
**Interactive Component:**
On the educational website, students are prompted to type their solution in the "Enter answer" field and submit it by pressing the "Submit Answer" button.
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