SOLUTION: How many liters of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution?

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Question 757499: How many liters of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
VARIABLES
L=30%
H=60%
T=50%
u=unknown amount of the 30% alcohol
v=40 liters of the 60% alcohol

%28Lu%2BHv%29%2F%28u%2Bv%29=T Solve for u.

Lu%2BHv=Tu%2BTv
Tu%2BTv=Lu%2BHv
Tu-Lu=Hv-Tv
u%28T-L%29=Hv-Tv
highlight%28u=v%28H-T%29%2F%28T-L%29%29

Substitute the known given values to find the value for u.