SOLUTION: Business and Finance: A coffee merchant has cofee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of mixture that will sell for $
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Question 87874: Business and Finance: A coffee merchant has cofee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture. Answer by ankor@dixie-net.com(22740) (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 mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture.
:
Let x = lbs of $12 coffee
:
Problem states the resulting amt will be 100 lb, therefore
(100-x) = lbs of $9 coffee
:
A simple equation:
12x + 9(100-x) = 11.25(100)
12x + 900 - 9x = 1125
12x - 9x = 1125 - 900
3x = 225
x = 225/3
x = 75 lbs of $12 coffee
Then:
100 - 75 = 25 lbs of $9 coffee
:
Check solution:
12(75) + 9(25) =
900 + 225 = 1125
