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

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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) About Me  (Show Source):
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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