SOLUTION: Tea worth $4.10 per pound is to be mixed with tea worth $4.90 per pound. How many pounds of each should be used to obtain 25lb of a blend worth $4.40 per pound?

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Question 1157108: Tea worth $4.10 per pound is to be mixed with tea worth $4.90 per pound.
How many pounds of each should be used to obtain 25lb of a blend worth
$4.40 per pound?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Tea worth $4.10 per pound is to be mixed with tea worth $4.90 per pound.
How many pounds of each should be used to obtain 25lb of a blend worth
$4.40 per pound?
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Tea worth $L per pound is to be mixed with tea worth $H per pound.
How many pounds of each should be used to obtain M lb of a blend worth
$T per pound?
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v pounds of the H dollars per pound ingredient
M-v pounds of the L dollars per pound ingredient

Hv%2BL%28M-v%29=TM
-
%28H-L%29v%2BLM=TM
%28H-L%29v=TM-LM
highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29
Substitute the given values.

v=25%28%284.4-4.1%29%2F%284.9-4.1%29%29
v=25%28%280.3%29%2F%280.8%29%29

v=highlight%289.375%2Apounds%29, the $4.9 per pound tea
(9 pounds 6 ounces)

M-v=highlight%2815.625%2Apounds%29, the $4.1 per pound tea
(15 pounds 10 ounces)