SOLUTION: how many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution

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Question 578063: how many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of 15% alcohol solution needed
+.2%2A4+=+.8+ ounces of alcohol in 20% solution
+.15x+ = ounces of alcohol in 15% solution
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+%28+.15x+%2B+.8+%29+%2F+%28+x+%2B+4+%29+=+.17+
+.15x+%2B+.8+=+.17%2A%28+x+%2B+4+%29+
+.15x+%2B+.8+=+.17x+%2B+.68+
+.02x+=+.12+
+x+=+6+
6 ounces of 15% alcohol solution are needed
check:
+%28+.15%2A6+%2B+.8+%29+%2F+%28+6+%2B+4+%29+=+.17+
+%28+.9+%2B+.8+%29+%2F+10+=+.17+
+1.7%2F10+=+.17+
+1.7+=+1.7+
OK