SOLUTION: One thousand liters of a solution was avaliable, but the solution was 60% alcohol. A solution of 45% alcohol is needed. How many liters of alcohol have to be extracted so that the

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Question 891498: One thousand liters of a solution was avaliable, but the solution was 60% alcohol. A solution of 45% alcohol is needed. How many liters of alcohol have to be extracted so that the solution is 45% alcohol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.6%2A1000+=+600+ liters of alcohol in 60% solution
Let +x+ = liters of alcohol to be extracted
---------------------
+%28+600+-+x+%29+%2F+%28+1000+-+x+%29+=+.45+
+600+-+x+=+.45%2A%28+1000+-+x+%29+
+600+-+x+=+450+-+.45x+
+.55x+=+150+
+x+=+272.73+
272.73 liters of alcohol must be extracted
check:
+%28+600+-+x+%29+%2F+%28+1000+-+x+%29+=+.45+
+%28+600+-+272.73+%29+%2F+%28+1000+-+272.73+%29+=+.45+
+327.27+%2F+727.27+=+.45+
+327.27+=+.45%2A727.27+
+327.27+=+327.27+
OK