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 mixure that will sell for $11.25 per pound. How m
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Question 67477: 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 mixure that will sell for $11.25 per pound. How much of each type of bean should be used in the mixure?
Any help is appreciated. Thanks 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 mixure that will sell for $11.25 per pound. How much of each type of bean should be used in the mixure?
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Amount of $9 coffee is "x" lbs; Value of these is 9x dollars
Amount of $12 coffee is "100-x" lbs; Value of these is 12(100-x)=1200-12x dollars
Amount of mixed coffee is 100 lbs; Value of these is 11.25(100)=1125 dollars
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EQUATION:
vaue + value = value
9x + 1200-12x = 1125
-3x=-75
x=25 lbs (amount of $9 coffee)
100-x=75 lbs (amount of $12 coffee)
Cheers,
Stan H.
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