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Matt and Ash are selling fruit for a school fundraiser. Customers can buy small boxes of fruit or
large boxes of fruit. Matt sold 3 small boxes and 5 large boxes for a total of $47. Ash sold 11 small
boxes and 10 large boxes for a total of $114. What is the cost of a small box of fruit?

Respuesta :

Answer: The cost of a small box is $4. The cost of a large box is $7.

Step-by-step explanation:

Let s = cost of a small box and L = cost of a large box

3s + 5L = 47

11s + 10L = 114

Multiply the top equation by -2 to combine with the second equation

-6s - 10L = -94

+11s +10L = 114

L cancels out, now solve for s

5s = 20

s = 4

Now, plug the value of s back into an equation to find the value of L

3(4) + 5L =47

12 + 5L = 47

5L = 35

L = 7