SOLUTION: how many cups of an 18% salt solution must be added to 16 cups of a 25% solution to get a 20% solution

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Question 413142: how many cups of an 18% salt solution must be added to 16 cups of a 25% solution to get a 20% solution
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the number of cups of the 18$ solution
Question states*** "Mixing"
.18x + .25*16 = .20(16+x)
Solving for x
18x + 25*16 = 20(16+x) |multiplying thru by 100
5*16 = 2x
40 = x
CHECKING our Answer***
.18*40 + .25*16 = 7.2 + 4 = 11.2 = .20*56