SOLUTION: How many grams of water must be evaporated from 10 grams of a 40% saline solution to produce a 50% saline solution? Please help! Thank you.

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Question 707474: How many grams of water must be evaporated from 10 grams of a 40% saline solution to produce a 50% saline solution? Please help! Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = grams of water to be evaporated
+.4%2A10+=+4+ grams of salt in solution
---------------
In words:
( grams of salt ) / ( grams of original solution minus water evaporated ) = 50%
+4+%2F+%28+10+-+w+%29+=+.5+
+4+=+.5%2A%28+10+-+w+%29+
+4+=+5+-+.5w+
+.5w+=+1+
+w+=+2+
2 grams of water must be evaporated
check:
+4+%2F+%28+10+-+w+%29+=+.5+
+4+%2F+%28+10+-+2+%29+=+.5+
+4%2F8+=+.5+
+.5+=+.5+
OK