SOLUTION: In the illustration, how much water should be added to 20 ounces of 15% solution of alcohol to dillute it to a 10% solution? 20oz x oz ? oz to + to

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Question 560447: In the illustration, how much water should be added to 20 ounces of 15% solution of alcohol to dillute it to a 10% solution?

20oz x oz ? oz
to + to = to
15% 0% 10%
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = ounces of water to be added
given:
+.15%2A20+=+3+ ounces of alcohol in 15% solution
-------------
+3+%2F+%28+20+%2B+w+%29+=+.1+
+3+=+.1%2A%28+20+%2B+w+%29+
+3+=+2+%2B+.1w+
+.1w+=+1+
+w+=+10+
10 ounces of water should be added
check:
+3+%2F+%28+20+%2B+w+%29+=+.1+
+3+%2F+%28+20+%2B+10+%29+=+.1+
+3+%2F+30+=+.1+
+.1+=+.1+
OK