SOLUTION: an owner of a gourmet food store wishes to mix cashews and peanuts to sell. The cashews cost $6/kg and the peanuts cost $3.50/kg. How many kilograms of cashews should be included w

Algebra ->  Expressions-with-variables -> SOLUTION: an owner of a gourmet food store wishes to mix cashews and peanuts to sell. The cashews cost $6/kg and the peanuts cost $3.50/kg. How many kilograms of cashews should be included w      Log On


   

Question 1107562: an owner of a gourmet food store wishes to mix cashews and peanuts to sell. The cashews cost $6/kg and the peanuts cost $3.50/kg. How many kilograms of cashews should be included with the peanuts to make 20 kg of the mix to sell for $5 /kg?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
c, cashews
p, peanuts
system%28c%2Bp=20%2C6c%2B3.5p=5%2A20%29

6%2820-p%29%2B3.5p=100--------one equation in just one unknown, p
120-6p%2B3.5p=100
-2.5p=-20
p=20%2F2.5
p=8---------kg of peanuts


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You find c=12, or 12 kg of cashews.