SOLUTION: A snack food is made by mixing 5 lb 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

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Question 11146: A snack food is made by mixing 5 lb 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 Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can set the equation this way: Let x = the amount of caramel required.
5%280.80%29+%2B+x%282.40%29+=+%285%2Bx%29%281.40%29 Simplify and solve for x.
4+%2B+2.40%28x%29+=+7+%2B+1.40%28x%29 Subtract 1.40(x) from both sides.
4+%2B+x+=+7 Subtract 4 from both sides.
x+=+3
3 lbs of caramel are needed.
Check:
5%28.80%29+%2B+3%282.40%29+=+%285%2B3%29%281.40%29
4+%2B+7.20+=+8%281.40%29
11.20+=+11.20 Ok.