SOLUTION: Solution X is 40% acid and solution Y is 85% acid. How much of each is needed to make a 90 Liters of a solution that is 70% acid?

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Question 306999: Solution X is 40% acid and solution Y is 85% acid. How much of each is needed to make a 90 Liters of a solution that is 70% acid?
Found 2 solutions by richwmiller, mananth:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=90
.4x+.85y=.7*90
x=30 y=60

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Solution X is 40% acid and solution Y is 85% acid. How much of each is needed to make a 90 Liters of a solution that is 70% acid?
solution X - 40%
solution y -85%
Let quantity of X be x liters
Quantity of Y will be 90-x liters
Total quantity required = x+90 with cocentration of 70%
Concentration of X in the mixture = 0.4x
Concentration of Y in the mixture = 0.85(90-x)
Concentration of mix= 0.7(90+x)
0.4x+0.85(90-x)= 0.7(x+90)
0.4x+76.5-0.85x = 0.7x+63
-1.15x=-13.5
x=11.7 liters
Balance will be solution Y=9.3 liters