SOLUTION: What quantity of 60 per cent acid solution must be mixed with a 25 solution to produce 168 mL of a 50 per cent solution?

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Question 335410: What quantity of 60 per cent acid solution must be mixed with a 25 solution to produce 168 mL of a 50 per cent solution?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 60% solution, B the amount of 25% solution.
1.A%2BB=168
.
.
.
60A%2B25B=50%28168%29
60A%2B25B=8400
2.12A%2B5B=1680
From eq. 1,
A=168-B
Substitute into eq. 2,
12%28168-B%29%2B25B=1680
2016-12B%2B5B=1680
-7B=-336
highlight%28B=48%29ml
Then from eq. 1,
A%2B48=168
highlight%28A=120%29ml