SOLUTION: How much of a 50% solution would have to be added to a 20% solution to make 24 liters of a 30% solution ?

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Question 372093: How much of a 50% solution would have to be added to a 20% solution to make 24 liters of a 30% solution ?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the total amount of 50% solution.
Then(24L-x) would be the amount of the 20% solution.
.50x + .20(24L-x) = .30*24L
solving for x
.50x + .20*24L - .20x = .30*24L
.30x = .10*24L
x = 8L of the 50% solution
checking our answer
(16L of the 20% solution (24-8)
.50*8 + .20*16 = 4 + 3.2 = 7.2= .30*24
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