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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> 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      Log On

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Question 37212This 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(2101) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the amount sold at $9. Thus 100-x is the amount sold at $12 per pound. So we have
9x + 12(100-x) = (11.25)(100)
9x + 1200 - 12x = 1125
-3x = -75
x = 25 pounds at $9/lb
and then
100-x = 75 pounds at $12/lb