SOLUTION: ) Business and finance. 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 sel
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Question 89915: ) Business and finance. 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?
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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$9 coffee DATA:
Amt of coffee = x lbs ; Value = 9x dollars
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$12 coffee DATA:
Amt of coffee = "100-x" lbs ; Value = 12(100-x) = 1200-12x dollars
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$11.25 mixture DATA:
Amt of mixture = 100 lbs ; Value = 11.25*100 = 1125 dollars
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EQUATION:
value + value = value of the mixture
9x + 1200-12x = 1125
-3x = -75
x = 25 lbs ( amt of $9 coffee in the mixture)
100-x = 75 ( amt of $12 coffee in the mixture)
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Cheers,
Stan H.
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