SOLUTION: Can someone help me on this problem? I need to solve the following problem and show the equation used for the solution: A coffee merchant has coffee beans that sell for $

Question 58286This question is from textbook Beginning Algebra
: Can someone help me on this problem?
I need to solve the following problem and show the equation used for the 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. How much of each type of bean should be used in the mixture?
Thanks,
Ashley This question is from textbook Beginning Algebra

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let a = amount of the $9/pound beans in mixture (in pounds)
Let b = amount of the $12/pound beans in mixture (in pounds)
a + b = 100 (this is given)
Set up this equation:

This simply says "The cost of a pounds of the $9 beans plus
the cost of b pounds of the $12 beans per 100 pound bag must
equal $11.25 per 1 pound."

(given)
(multiply each side by 12)
Now subtract the 1st equation from the second

(amt of the %9 beans to use)

(amt of the $12 beans to use)
check

do the math- checks OK
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