https://file.aiquickdraw.com/mathbot/file/1730215998003blvhefe2.jpg

To create a system of equations for this problem, let's define the variables first:

1. **Define Variables:**
   - Let \( x \) = the number of small boxes purchased.
   - Let \( y \) = the number of large boxes purchased.

2. **Formulating Equations:**
   - Since each small box has 10 granola bars and each large box has 12 granola bars, and we know the camp bought a total of 100 granola bars, we can set up the first equation:
     \[
     10x + 12y = 100
     \]
   - The camp bought a total of 9 boxes in all, so:
     \[
     x + y = 9
     \]

3. **System of Equations:**
   - The system of equations to solve for \( x \) and \( y \) is:
     \[
     x + y = 9
     \]
     \[
     10x + 12y = 100
     \]

Would you like a step-by-step solution to solve for \( x \) and \( y \) as well?

---

**Relative Questions to Consider:**
1. How would the system of equations change if there were a different total number of granola bars?
2. What if each small box contained 8 granola bars instead of 10?
3. How can substitution help solve this system of equations?
4. What if the camp bought a total of 120 granola bars? How would you modify the equations?
5. Can you solve for the variables if given an additional constraint?

**Tip:** Always define your variables clearly in word problems to make it easier to translate conditions into equations.

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Learn how to set up a system of equations to find the number of small and large granola boxes purchased, based on given conditions. This problem involves defining variables and creating equations for a real-world scenario. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation