SOLUTION: A snack mix is made from peanuts that cost $3.30 per pound and caramel popcorn that cost $2.70 per pound. The mixture costs $3.10 per pound. Does the mixture contain more peanuts o

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A snack mix is made from peanuts that cost $3.30 per pound and caramel popcorn that cost $2.70 per pound. The mixture costs $3.10 per pound. Does the mixture contain more peanuts o      Log On


   

Question 1045599: A snack mix is made from peanuts that cost $3.30 per pound and caramel popcorn that cost $2.70 per pound. The mixture costs $3.10 per pound. Does the mixture contain more peanuts or more popcorn?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p, peanuts pounds
c, caramel popcorn pounds

Expect the mixture to be 100 parts.
system%28p%2Bc=100%2C3.3p%2B2.7c=3.10%29

system%28p%2Bc=100%2C33p%2B27c=31%29

Try solving using the Elimination Method.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A snack mix is made from peanuts that cost $3.30 per pound and caramel popcorn that cost $2.70 per pound. The mixture costs $3.10 per pound. Does the mixture contain more peanuts or more popcorn?
Difference in prices of peanuts, per lb and mixture, per lb: $3.30 - 3.10, or $0.20 

Difference in prices of popcorn, per lb and mixture, per lb: $3.10 - 2.70, or $0.40 

As seen the price difference between the prices of peanut, per lb and mixture, per lb is closer ($0.20) than the difference in prices of popcorn,

per lb and mixture, per lb: ($0.40). It follows then that the mixture contained more peanuts than popcorn.

By the way, if there were equal amounts of each, then price of mixture, per lb = matrix%281%2C5%2C+%283.3+%2B+2.7%29%2F2%2C+or%2C+6%2F2%2C+or%2C+%22%243.00%22%29