SOLUTION: The Coffee Counter charges $9.00 per pound of Kenyan French Roast coffee and $11.00 per pound for Sumatran coffee. How much of each type should be used to make a 12 pound bag blen

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Question 748331: The Coffee Counter charges $9.00 per pound of Kenyan French Roast coffee and $11.00 per pound for Sumatran coffee.
How much of each type should be used to make a 12 pound bag blend that sells for $10.00 per pound?
The Coffee Counter should mix____ pounds of Kenyan Roast and _____ pounds of Sumatran coffee to make 12 pounds of the blen that sells for $10.00 per pound.
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
This is a mixture problem in which two items of two strengths are mixed giving a mixture of a certain expected strength, in this case, the strength being a price.

Assign variables to everything:
L = 9 dollars/pound, the Kenyon roasted
H = 11 dollars/pound, the Sumatran
T = 10 dollars/pound, mixture price wanted
u = pounds of Kenyan coffee
v = pounds of Sumatra coffee
M = 12 pounds, mixture wanted

Establish Equations:
and
The unknowns are u and v. Solve the system for u and v.

Computations:
Substitute the known given values to compute u and v.