SOLUTION: How much pure rubbing alcohol must be added to 20kg of a 12% alcohol solution to give you a 32% ALCOHOL SOLUTION?

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Question 697685: How much pure rubbing alcohol must be added to 20kg of a 12% alcohol solution to give you a 32% ALCOHOL SOLUTION?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.12%2A20+=+2.4+ kg of pure rubbing alcohol in 12% solution
Let +x+ = kg of pure rubbing alcohol to be added
+%28+2.4+%2B+x+%29+%2F+%28+20+%2B+x+%29+=+.32+
+2.4+%2B+x+=+.32%2A%28+20+%2B+x+%29+
+2.4+%2B+x+=+6.4+%2B+.32x+
+.68x+=+4+
+x+=+5.882+
5.882 kg of pure rubbing alcohol must be added
check answer:
+%28+2.4+%2B+x+%29+%2F+%28+20+%2B+x+%29+=+.32+
+%28+2.4+%2B+5.882+%29+%2F+%28+20+%2B+5.882+%29+=+.32+
+8.282+%2F+25.882+=+.32+
+8.282+=+.32%2A25.882+
+8.282+=+8.282+
OK