Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297. Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194. What is the cost of one small box of candy, and what is the cost of one large box of candy? Hint: Solve a system of two equations using the elimination method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297. Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.

What is the cost of one small box of candy, and what is the cost of one large box of candy?

Hint: Solve a system of two equations using the elimination method.

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**Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297. Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.**

**What is the cost of one small box of candy, and what is the cost of one large box of candy?**

**Hint: Solve a system of two equations using the elimination method.**

---

_A graphical layout to help you organize your solution:_

**Cost of a small box of candy:** __________

**Cost of a large box of candy:** __________

---

### Explanation of Graphs or Diagrams (if applicable):

The provided image contains text instructions and a graphical user interface for drawing or writing on a virtual whiteboard. The interface includes options to select pencil thickness (THIN) and color (BLACK). The two lines at the end are placeholders for writing answers to the cost of the small and large boxes of candy.
Transcribed Image Text:--- **Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and large boxes of candy. Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297. Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.** **What is the cost of one small box of candy, and what is the cost of one large box of candy?** **Hint: Solve a system of two equations using the elimination method.** --- _A graphical layout to help you organize your solution:_ **Cost of a small box of candy:** __________ **Cost of a large box of candy:** __________ --- ### Explanation of Graphs or Diagrams (if applicable): The provided image contains text instructions and a graphical user interface for drawing or writing on a virtual whiteboard. The interface includes options to select pencil thickness (THIN) and color (BLACK). The two lines at the end are placeholders for writing answers to the cost of the small and large boxes of candy.
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