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A coffee distributor needs to mix a(n) House coffee blend that normally sells for $9.60 per pound with a Gazebo coffee blend that normally sells for $14.00 per pound to create 10 pounds of a coffee that can sell for $12.68 per pound. How many pounds of each kind of coffee should they mix?

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Answer:

House Coffee :     3  pounds

Gazebo  Coffee:   7  pounds

Explanation:

House Coffee  Gazebo  Total

Price  9.60   14.00    12.68

Pounds 3.00    7.00    10.00

   $        28.80  98.00  126.80

((9,60*H)+(14*G))=12.68*10    ---->  H

H+G = 10   ---->    x1 + x2 =  10

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