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

Omar

Mathematics

27 July, 07:37

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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Johnathon Herman · 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