SOLUTION: Peanuts cost $2.50 per pound, almonds cost $6.50 per pound , and cashews cost $8 per pound . How many pounds of peanuts and cashews should be added to one pounds of almonds to obta

Question 840132: Peanuts cost $2.50 per pound, almonds cost $6.50 per pound , and cashews cost $8 per pound . How many pounds of peanuts and cashews should be added to one pounds of almonds to obtain a six-pound mixture at $5 per pound?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
p pounds of peanuts
c pounds of cashews
1 pound of almonds
WANTED: Mixture of 6 pounds

Account for cost of the mixture:
, which uses two variables, p and c.

Account for pounds of the mixture:
, which again uses just those two variables.

SIMPLIFY EACH EQUATION

Cost Equation

Poundage Equation

SOLVE THIS SYSTEM FOR p AND c
----------------
5p-3c=6
----------------
p+c=5
----------------

The HARD PART was analyzing, setting up the equations, and finding the system of equations to solve. You do the rest.
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