SOLUTION: Solution A is 30% alcohol and solution B is 60% alcohol.How much of each solution isneeded to make 100 liters of a solution that is 45% alcohol?

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Question 376523: Solution A is 30% alcohol and solution B is 60% alcohol.How much of each solution isneeded to make 100 liters of a solution that is 45% alcohol?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the amount of the more concentrated 60% solution, 

then (100L - x) would be the amount of the 30% solution

Mixing together to form the 100L of 45% solution***

.60x + .30(100L-x) = .45*100L

Solving for x

.30x = .15*100L

x = 50 L, the amount of the more concentrated 60% solution.  50L of the 30% also

CHECKING our Answer***

.6*50 + .3*50 = 30 + 15 = 45 = .45*100