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?

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) (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) (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

RELATED QUESTIONS
solution A is 40% acid. Solution B is 80% acid. How much of each is needed to make 120... (answered by robertb)
Solution A is 25% acid and solution B is 40% acid. How much of each is needed to make 60... (answered by nyc_function,modi.kk91)
Solution A is 25% acid and solution B is 40% acid. How much of each solution is needed to (answered by stanbon)
solution A is 40% acid and solution b is 65% acid.How much of each solution is needed to... (answered by Fombitz)
One solution is 80% acid and another one is 30% acid. How much of each solution is... (answered by fractalier,addingup)
Solution A is 30% acid and solution B is 50% acid. How much of each should be used to... (answered by josgarithmetic,mikeebsc)
a chemist needed a 75% acid solution but only has 35% acid and 85% acid solutions. if he... (answered by stanbon)
Solution "A" is 50% acid and solution "B" is 20% acid. How many liters of each should be... (answered by Fombitz)
One solution is 14% acid and another is 19% acid. How much of each solution is needed to... (answered by robertb)