SOLUTION: How many gallons of distilled water must be added with 50 gallons of 30% alcohol solution to obtain a 25% solution ?

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Question 815190: How many gallons of distilled water must be added with 50 gallons of 30% alcohol solution to obtain a 25% solution ?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
An estimate would be to use 50%2A30%2F%2850%2Bv%29=25, and solve for v, gallons of water.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = gallons of distilled water needed
+.3%2A50+=+15+ gallons of alcohol in 30% solution
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+15+%2F+%28+w+%2B+50%29+=+.25+
+15+=+.25%2A%28+w+%2B+50+%29+
+15+=+.25w+%2B+12.5+
+.25w+=+2.5+
+w+=+2.5%2F.25+
+w+=+10+
10 gallons of water must be added
check:
+15+%2F+%28+w+%2B+50%29+=+.25+
+15+%2F+%28+10+%2B+50%29+=+.25+
+15+=+.25%2A60+
+15+=+15+
OK