SOLUTION: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger decides to mix 10 pounds of peanuts with some cashews and sell the mix for $3.00 per pound. Ho

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger decides to mix 10 pounds of peanuts with some cashews and sell the mix for $3.00 per pound. Ho      Log On

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Question 1131276: A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger decides to mix 10 pounds of peanuts with some cashews and sell the mix for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of cashews needed
+%28+2%2A10+%2B+5x+%29+%2F+%28+10+%2B+x+%29+=+3+
+20+%2B+5x+=+3%2A%28+10+%2B+x+%29+
+20+%2B+5x+=+30+%2B+3x+
+2x+=+10+
+x+=+5+
5 pounds of cashews are needed
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check:
+2%2A10+%2B+5%2A5+=+20+%2B+25+
+20+%2B+25+=+45+ dollars if sold separately
and
+3%2A%28+10+%2B+x+%29+
+30+%2B+3%2A5+
+45+ dollars if sold in mixture