SOLUTION: Q16. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 100 pounds of the cashe

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Q16. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 100 pounds of the cashe      Log On


   



Question 1103727: Q16. The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 100 pounds of the cashews to get a cashew-peanut mixture that will sell for $8 per pound. How many pounds of peanuts should be used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of peanuts needed
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+%28+6x+%2B+15%2A100+%29+%2F+%28+x+%2B+100+%29+=+8+
+6x+%2B+1500+=+8%2A%28+x+%2B+100+%29+
+6x+%2B+1500+=+8x+%2B+800+
+2x+=+700+
+x+=+350+
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350 pounds of peanuts are needed
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check:
+%28+6%2A350+%2B+1500+%29+%2F+%28+350+%2B+100+%29+=+8+
+%28+2100+%2B+1500+%29+%2F+450+=+8+
+3600+%2F+450+=+8+
+3600+=+3600+
OK