SOLUTION: A store sells regular coffee for $4 a pound and gourmet coffee for $7 a pound to get rid of 40 pounds of gourmet coffee the shopkeeper plans to make a blend to sell for $5 a pound

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Question 906962: A store sells regular coffee for $4 a pound and gourmet coffee for $7 a pound to get rid of 40 pounds of gourmet coffee the shopkeeper plans to make a blend to sell for $5 a pound how many pounds of reg coffee should be used?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A store sells regular coffee for $4 a pound and gourmet coffee for $7 a pound to
get rid of 40 pounds of gourmet coffee the shopkeeper plans to make a blend to
sell for $5 a pound how many pounds of reg coffee should be used?
The  40   pounds of gourmet coffee is worth $7×40 = $280
The   x   pounds of regular coffee is worth          $4x
--------------------------------------------------------
The x+40  pounds of mixed coffee is worth       $5(x+40)

%28matrix%287%2C1%2C+The%2Cdollar%2Cvalue%2C+of%2C+the%2C+gourmet%2C+coffee%29%29%22%22%2B%22%22%28matrix%287%2C1%2C+The%2Cdollar%2Cvalue%2C+of%2C+the%2C+regular%2C+coffee%29%29 %22%22=%22%22 %28matrix%287%2C1%2C+The%2Cdollar%2Cvalue%2C+of%2C+the%2C+mixed%2C+coffee%29%29

280 + 4x = 5(x+40)

Solve that and get x=80 pounds of regular coffee.

Edwin