SOLUTION: at the food store peanuts cost two dollars per pound and raisins cost four dollars per pound. Jillian bought a 7 pound mixture of peanuts and raisins for $20. how many pounds each

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Question 953949: at the food store peanuts cost two dollars per pound and raisins cost four dollars per pound. Jillian bought a 7 pound mixture of peanuts and raisins for $20. how many pounds each of peanuts and raisins were in the mixture
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p peanuts
r raisins
7, pounds of the mixture;
r=7-p, raisins

%282%2Ap%2B4%2A%287-p%29%29=20, to account for cost, not price. The equation is all done for one variable.

This problem CAN be done using two variables, and a lesson is available for such a solution method. The method was avoided here because the focus of the question did not include PRICE of the mixture, and because the "p+r=7" problem fact could be used early to form the key equation in one variable.