A snack food is made by mixing 3 lb of popcorn that costs $0.80 per pound with caramel that costs $2.20 per pound. How much caramel is needed to make a mixture that costs $1.60 per pound?

Question

Mathematics

Bryant

31 December, 20:54

A snack food is made by mixing 3 lb of popcorn that costs $0.80 per pound with caramel that costs $2.20 per pound. How much caramel is needed to make a mixture that costs $1.60 per pound?

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Answers (1)

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Jaelynn Rosales · Answer 1

Assuming you retain the same number of pounds of popcorn (3)

find cost now

3*0.80=2.40

2.20 per pound

(2.4+2.2x) / (3+x) = 1.6

times 3x both sides

2.4+2.2x=4.8+1.6x

minus 1.6x from both sides

2.4+0.6x=4.8

minus 2.4 both sides

0.6x=2.4

divide both sides by 0.6

x=4

4 pounds of caramel are needed