SOLUTION: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. Ho

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Question 102920: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
12X+9(100-X)=11.25*100
12X+900-9X=1125
3X=1125-900
3X=225
X=225/3
X=75 POUNDS OF $12 COFFEE IS NEEDED.
100-75=25 POUNDS OF $9 COFFEEE IS NEEDED.
PROOF
12*75+9*25=1125
900+225=1125
1125=1125

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