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

Question 68626: 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 stanbon(75887) (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?
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Let amount of $9 coffee be x lbs. ; Value of this is 9x dollars
Then amount of $12 coffee is "100-x";Value of the is 12(100-x)=1200-12x dollars
Amount of mixed commee is 100 lbs. ; Value of this is $1125
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EQUATION:
value + value = 1125
9x + 1200-12x = 1125
-3x= -75
x=25 lbs (amount of $9 coffee in the mixture)
100-x=75 lbs (amount of $12 coffee in the mixture)
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Cheers,
Stan H.
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