SOLUTION: how many liters of a 10% acid solution can be mixed with a 50% acid solution in order to obtain 15 liters of a 30% solution?

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Question 902904: how many liters of a 10% acid solution can be mixed with a 50% acid solution in order to obtain 15 liters of a 30% solution?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=15,
0.1*a+0.5*b=0.3*15
a=15-b
0.1*(15-b)+0.5*b=4.5
1.5-0.1b+0.5*b=4.5
0.4*b=3
b=7.5
a=15-b
a=7.5 liter at 10% b=7.5 liter at 50%
check
0.1*7.5+0.5*7.5=0.3*15
0.75+3.75=4.5
4.5=4.5
ok