SOLUTION: how many pints of a 11% alcohol solution should jenny mix with 15 pints of a 5% alcohol solution to get a mixture that is 8% alcohol?

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Question 1019298: how many pints of a 11% alcohol solution should jenny mix with 15 pints of a 5% alcohol solution to get a mixture that is 8% alcohol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pints of 11% alcohol solution needed
+.11x+ = pints of alcohol in 11% solution
+.05%2A15+=+.75+ pints of alcohol in 15% solution
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+%28+.11x+%2B+.75+%29%2F+%28+x+%2B+15+%29+=+.08+
+.11x+%2B+.75+=+.08%2A%28+x+%2B+15+%29+
+.11x+%2B+.75+=+.08x+%2B+1.2+
+.03x+=+.45+
+x+=+15+
15 pints of 11% alcohol solution are needed
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check:
+%28+.11x+%2B+.75+%29%2F+%28+x+%2B+15+%29+=+.08+
+%28+.11%2A15+%2B+.75+%29%2F+%28+15+%2B+15+%29+=+.08+
+%28+1.65+%2B+.75+%29+%2F+30+=+.08+
+2.4+=+.08%2A30+
+2.4+=+2.4+
OK