SOLUTION: How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 50% alcohol to make a pitcher of martinis that contain 30% of alcohol?

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Question 1069119: How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 50% alcohol to make a pitcher of martinis that contain 30% of alcohol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of vermouth needed
+.1x+ = ounces of alcohol in vermouth
+.5%2A20+ = ounces of alcohol in gin
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+%28+.1x+%2B+.5%2A20+%29+%2F+%28+x+%2B+20+%29+=+.3+
+.1x+%2B+10+=+.3%2A%28+x+%2B+20+%29+
+.1x+%2B+10+=+.3x+%2B+6+
+.2x+=+4+
+x+=+20+
20 ounces of vermouth should be added
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check:
+%28+.1x+%2B+.5%2A20+%29+%2F+%28+x+%2B+20+%29+=+.3+
+%28+.1%2A20+%2B+.5%2A20+%29+%2F+%28+20+%2B+20+%29+=+.3+
+%28+2+%2B+10+%29+%2F+40+=+.3+
+12+=+12+
OK