SOLUTION: The owner of a candy store wants to mix some peanuts worth $2 per pound, some cashews worth $9 per pound, and some Brazil nuts worth $7 per pound to get 50 pounds of a mixture that

Question 906774: The owner of a candy store wants to mix some peanuts worth $2 per pound, some cashews worth $9 per pound, and some Brazil nuts worth $7 per pound to get 50 pounds of a mixture that will sell for $4.70 per pound. She uses 20 fewer pounds of cashews than peanuts. How many pounds of each did she use?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
p, c, b for the poundages of peanuts, cashews, brazil nuts.

, account for the cost of 50 pound mixture
, account for amount of mixture
, the described relationship between two of the nuts

Simplify the system by first substituting for c, and simplify the two remaining equations which are now using only variables b and p.
Solve the system.
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