SOLUTION: how many ounces of 5% alchol solution and how many ounces of a 15% alchol solution must be mixed to get 40 ounces of a 9% alchol solution?

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Question 368550: how many ounces of 5% alchol solution and how many ounces of a 15% alchol solution must be mixed to get 40 ounces of a 9% alchol solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of ounces of 5% alchol solution, B the ounces of a 15% alchol solution.
.
.
.
Total volume:
1.A%2BB=40
Total concentration:
5A%2B15B=9%2840%29
2.A%2B3B=72
Subtract eq. 1 from eq. 2,
A%2B3B-A-B=72-40
2B=32
highlight%28B=16%29ounces
From eq. 1,
A%2B16=40
highlight%28A=24%29ounces