10) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?

Question

Mathematics

Siena Chan

8 March, 10:25

10) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?

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Answers (1)

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Esperanza Nelson · Answer 1

6 pounds of granola, 2 pounds of cranberries.

Step-by-step explanation:

3g + 5.5c = 29

g + c = 8

g = 8 - c

3 * (8 - c) + 5.5c = 29

24 - 3c + 5.5c = 29

2.5c = 5

c = 2

g = 8 - c

g = 8 - 2

g = 6