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 100lb of a mixture that will sell f
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Question 78642: 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 100lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture? Help, Help. 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 100lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
:
Let x = $12/lb coffee amt
:
It says the resulting amt is to be 100 lb, therefore:
(100-x) = $9/lb coffee amt
;
12x + 9(100-x) = 11.25(100)
:
12x + 900 - 9x = 1125
:
12x - 9x = 1125 - 900
:
3x = 225
:
x = 225/3
:
x = 75 lb of $12 coffee required:
:
100 - 75 = 25 lb of 9$ coffee
:
:
Check solutions:
12(75) + 9(25) =
900 + 225 = 1125
