SOLUTION: A snack food is made by mixing 5 lbs. of popcorn that costs $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 pe

Question 153306: A snack food is made by mixing 5 lbs. of popcorn that costs $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
A snack food is made by mixing 5 lbs. of popcorn that costs $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?

5=lbs of popcorn
c=lbs of caramel
80=cost per pound of popcorn (in cents)
240=cost per pound of caramel (in cents)
140=cost of both together (in cents)

cost(lbs popcorn)+cost(lbs caramel)=cost(lbs popcorn and caramel)
80(5)+240(c)=140(5+c)

400+240c=700+140c

Subtract 400 from both sides
240c=300+140c

Subtract 140c from both sides
100c=300

Divide both sides by 100
c=3

Answer: 3 lbs of caramel
RELATED QUESTIONS
A snack food is made by mixing 5 lb of popcorn that costs $.80 per pound with caramel... (answered by Earlsdon)

A snack food is made by mixing 4 lb of popcorn that costs $0.80 per pound with caramel... (answered by josgarithmetic,ewatrrr,greenestamps)

A snack food is made by mixing 6 lb of popcorn that costs $.80 per pound with caramel... (answered by josmiceli)

A snack food is made by mixing 5lb of popcorn that costs $.80 per pound with caramel that (answered by checkley77)

A snack food is made by mixing 2 lb of popcorn that costs $0.80 per pound with caramel... (answered by jorel555)

"A snack food is made by mixing 6 lb of popcorn that costs $0.80 per pound with caramel... (answered by josgarithmetic)

Can you help solve three problems for me? Two planes start from the same point and fly (answered by brenyogi12)

A snack mix is made from peanuts that cost $3.30 per pound and caramel popcorn that cost... (answered by josgarithmetic)

A snack mix is made from peanuts that cost $3.10 per pound and caramel popcorn that cost... (answered by Theo)