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. H

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Question 74305: 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 funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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?
Let the amount of $9 coffee be: x
Then the rest of the 100 lb mixture is the amount of $12 coffee: 100-x
The problem to solve:
9x+12(100-x)=11.25(100)
9x+1200-12x=1125
-3x+1200=1125
-3x+1200-1200=1125-1200
-3x=-75
-3x/-3=-75/-3
x=25
The amount of $9 coffee: x=25 lb
The amount of $12 coffee: 100-x=100-25=75 lb.
Happy Calculating!!!!