SOLUTION: Joe mixes 14 oz of peanuts at $1.20 per oz. with some raisins at $0.7 per oz. to get a mixture at $1.05 per oz. how many ounces of raisins are put in the mixture?

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Question 988642: Joe mixes 14 oz of peanuts at $1.20 per oz. with some raisins at $0.7 per oz. to get a mixture at $1.05 per oz. how many ounces of raisins are put in the mixture?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of raisins to put in mixture
+1.2%2A14+=+16.8+ = cost of the peanuts in mixture
+.7x+ = cost of raisins in mixture
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+%28+16.8+%2B+.7x+%29+%2F+%28+14+%2B+x+%29+=+1.05+
+16.8+%2B+.7x+=+1.05%2A%28+14+%2B+x+%29+
+16.8+%2B+.7x+=+14.7+%2B+1.05x+
+.35x+=+2.1+
+x+=+6+
6 ounces of raisins should be put in the mixture
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check:
+%28+16.8+%2B+.7x+%29+%2F+%28+14+%2B+x+%29+=+1.05+
+%28+16.8+%2B+.7%2A6+%29+%2F+%28+14+%2B+6+%29+=+1.05+
+%28+16.8+%2B+4.2+%29+%2F+20+=+1.05+
+21%2F20+=+1.05+
+21+=+21+
OK