SOLUTION: how many ounces of water should be added to 24 ounces of an alcohol/ water solution containing 44% alcohol to dilute it to 20% alcohol?

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Question 553600: how many ounces of water should be added to 24 ounces of an alcohol/ water solution containing 44% alcohol to dilute it to 20% alcohol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of water to be added
+.44%2A24+=+10.56+ = ounces of alcohol in 44% solution
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+10.56+%2F+%28+x+%2B+24+%29+=+.2+
+10.56+=+.2%2A%28+x+%2B+24+%29+
+10.56+=+.2x+%2B+4.8+
+.2x+=+5.76+
+x+=+28.8+
28.8 ounces of water should be added
check:
+10.56+%2F+%28+28.8+%2B+24+%29+=+.2+
+10.56+%2F++52.8++=+.2+
+10.56+=+.2%2A52.8+
+10.56+=+10.56+
OK