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 37431This question is from textbook
: 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?
This question is from textbook
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let x = number of pounds of $9 coffee.
The 100 - x = number of pounds of $12 coffee.
Then we write the "cost" equation:
9x + 12(100 - x) = (11.25)(100)
9x + 1200 - 12x = 1125
-3x = -75
x = 25
Thus 25 lbs of $9 and 75 lbs of $12 coffee.
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