SOLUTION: nail polish remover is a mixture of water and acetone. how much pure acetone must be combine with a solution that is 19% acetone to make 27oz of a 37% solution

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Question 954235: nail polish remover is a mixture of water and acetone. how much pure acetone must be combine with a solution that is 19% acetone to make 27oz of a 37% solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of pure acetone to be added
+.19%2A%28+27+-+x+%29+ = ounces of acetone in 19% solution
----------------------
+%28+x+%2B+.19%2A%28+27+-+x+%29+%29+%2F+27+=+.37+
+x+%2B+.19%2A%28+27+-+x+%29+=+.37%2A27+
+x+%2B+5.13+-+.19x+=+9.99+
+.81x+=+4.86+
+x+=+6+
6 ounces of pure acetone must be added
check:
+%28+x+%2B+.19%2A%28+27+-+x+%29+%29+%2F+27+=+.37+
+%28+6+%2B+.19%2A%28+27+-+6+%29+%29+%2F+27+=+.37+
+%28+6+%2B+.19%2A21+%29+%2F+27+=+.37+
+6+%2B+3.99+=+.37%2A27+
+9.99+=+9.99+
OK