SOLUTION: paula has 400 milliliters of a solution that is 80% alcohol. she plans to dilute it so that it is only 50% alcohol. how much water should she add to this?

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Question 903343: paula has 400 milliliters of a solution that is 80% alcohol. she plans to dilute it so that it is only 50% alcohol. how much water should she add to this?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = ml of water to be added
+.8%2A400+=+320+ ml of alcohol in 80% solution
-------------------
+320+%2F+%28+400+%2B+w+%29+=+.5+
+320+=+.5%2A%28+400+%2B+w+%29+
+320+=+200+%2B+.5w+
+.5w+=+120+
+w+=+240+
240 ml of water should be added
check:
+320+%2F+%28+400+%2B+240+%29+=+.5+
+320+%2F+640+=+.5+
+.5+=+.5+
OK