SOLUTION: a pharmacist needs 80 liters of a 50% alcohol solution. she has available of a 20% and 80% alchol solution. how many liters of each solution should she mix to obtain 80 liters of a

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Question 1146648: a pharmacist needs 80 liters of a 50% alcohol solution. she has available of a 20% and 80% alchol solution. how many liters of each solution should she mix to obtain 80 liters of a 50% alcohol soultion?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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... needs 80 liters of a 50% alcohol solution. she has available of a 20% and 80% alchol solution. how many liters of each solution should she mix to obtain 80 liters of a 50% alcohol soultion?
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v, liters volume of the 80%
M=80
M-v, liters volume of the 20%
T=50
H=80
L=20

Hv%2BL%28M-v%29=TM--------solve for v.

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