SOLUTION: A backpacker wishes to mix peanuts worth $2 per pound and trail mix worth $5 per pound to make 10 pounds of a cheaper trail mix to take on the family backpacking trip to the Sierra

Question 910903: A backpacker wishes to mix peanuts worth $2 per pound and trail mix worth $5 per pound to make 10 pounds of a cheaper trail mix to take on the family backpacking trip to the Sierra mountains. If the back packer could find the blend in the grocery store it would sell for $3.20 per pound. How many pounds of each should be in the mixture if it's worth $3.20 per pound?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of peanuts needed
Let = pounds of trail mix needed
--------------
(1)
(2)
----------------------------
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
---------------------

and, since
(1)
(1)
(1)
-------------------
6 pounds of peanuts and
4 pounds of trail mix are needed
-------------------
check:
(2)
(2)
(2)
OK

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