Nathan's Boy Scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanuts cost $2 per pound. The Boy Scouts spend $74 to make 30 pounds of trail mix. How many pounds of M&M's did they buy?

Question

Mathematics

Moriah

16 June, 15:31

Nathan's Boy Scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanuts cost $2 per pound. The Boy Scouts spend $74 to make 30 pounds of trail mix. How many pounds of M&M's did they buy?

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Answers (1)

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Helena Morales · Answer 1

14 lbs of M&M's

Step-by-step explanation:

x - pounds of the M&M's;

y - pounds of the peanuts

x + y = 30

3 x + 2 y = 74

y = 30 - x

3 x + 2 (30 - x) = 74

3 x + 60 - 2 x = 74

x = 74 - 60

x = 14