SOLUTION: A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $16 per kilogram and Pennsylvania Jack that costs $12 per kilogram. How many kilograms of e

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Question 819880: A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $16 per kilogram and Pennsylvania Jack that costs $12 per kilogram. How many kilograms of each were used to make a 5 kilogram mixture that costs $13.20 per kilogram
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
H=16
T=13.20
L=12
M=5
u = how much of the L priced cheese
v = how much of the H priced cheese

u%2Bv=M
and
%28Lu%2BHv%29%2FM=T

That is a system of equations in the unknown variables, u and v.
Solve the system for u and v, and you will have essentially solved any two part mixture problem which fits this form. This is like a concentration-mixture problem, but here, the concentration is as DOLLARS PER KILOGRAM. Think of the cheeses as containing dollars.