SOLUTION: How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound

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Question 938143: How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of walnuts needed
+7.6x+ = cost of walnuts
+12%2A6+=+72+ = cost of cashews
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+%28+7.6x+%2B+72+%29+%2F+%28+x+%2B+6+%29+=+9.25+
+7.6x+%2B+72+=+9.25%2A%28+x+%2B+6+%29+
+7.6x+%2B+72+=+9.25x+%2B+55.5+
+1.65x+=+16.5+
+x+=+10+
10 pounds of walnuts are needed
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check:
+%28+7.6x+%2B+72+%29+%2F+%28+x+%2B+6+%29+=+9.25+
+%28+7.6%2A10+%2B+72+%29+%2F+%28+10+%2B+6+%29+=+9.25+
+148+%2F+16+=+9.25+
+148+=+148+
OK