SOLUTION: A tea merchant wants to make 30 pounds of a blend that he can sell for $4.80 per pound. The blend is made by mixing $6 per pound tea with a $4 per pound tea. How many pounds of eac

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Question 795222: A tea merchant wants to make 30 pounds of a blend that he can sell for $4.80 per pound. The blend is made by mixing $6 per pound tea with a $4 per pound tea. How many pounds of each kind of tea should he use?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES TO ALL QUANTITIES
L, the lower concentration of available material
H, the higher concentration of available material
T, the target concentration of resulting mixture
x, the amount of lower concentrated material to use, unknown
y, the amount of higher concentrated materaial to use, unknown
M, amount of the resulting mixture

The "concentration" here is "Dollars per Pound".

EQUATIONS
highlight%28%28Lx%2ByH%29%2FM=T%29
and
highlight%28x%2By=M%29

Solve for x and y, all in symbols first.
Evaluate x and y according to your given data.