SOLUTION: A store sells cashews for $6.00 per pound and peanuts for $3.00 per pound. The manager decides to mix 40 pounds of peanuts with some cashews and sell the mixture for $4.00 per poun

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A store sells cashews for $6.00 per pound and peanuts for $3.00 per pound. The manager decides to mix 40 pounds of peanuts with some cashews and sell the mixture for $4.00 per poun      Log On

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Question 1080070: A store sells cashews for $6.00 per pound and peanuts for $3.00 per pound. The manager decides to mix 40 pounds of peanuts with some cashews and sell the mixture for $4.00 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 josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x, pounds of peanutes
40-x, pounds of cashews

3x%2B6%2840-x%29=4%2A40
-
3x%2B240-6x=160
-3x=160-240
3x=80

highlight%28x=26%262%2F3%29, pounds of peanutes

highlight%2840-x=13%261%2F3%29, pounds cashews