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.

Question 108655: 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?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let n=# of lbs of $9/lb; t=# of lbs of $12/lb
.
A) n+t=100
B) 9n+12t=1125
.
A) n=100-t
B) 9(100-t)+12t=1125
900-9t+12t=1125
3t+900=1125
3t+900-900=1125-900
3t=225
t=75 lbs
n=25 lbs
Always check:
9*25+12*75=1125 true
.
Ed
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