SOLUTION: In the lab, Maya has two solutions that contain alcohol and is mixing them with each other. She uses 500 milliliters less of Solution A than Solution B. Solution A is 20% a

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Question 1029120: In the lab, Maya has two solutions that contain alcohol and is mixing them with each other. She uses
500
milliliters less of Solution A than Solution B. Solution A is
20%
alcohol and Solution B is
17%
alcohol. How many milliliters of Solution B does she use, if the resulting mixture has
492
milliliters of pure alcohol?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ml of solution B needed
+x+-+500+ = ml of solution A used
-------------------------------
+.17x+%2B+.2%2A%28+x+-+500+%29+=+492+
+.17x+%2B+.2x+-+100+=+492+
+.37x+=+592+
+x+=+1600+
She uses 1600 ml of solution B
------------------
check:
+.17x+%2B+.2%2A%28+x+-+500+%29+=+492+
+.17%2A1600+%2B+.2%2A%28+1600+-+500+%29+=+492+
+272+%2B+.2%2A1100+=+492+
+272+%2B+220+=+492+
+492+=+492+
OK