SOLUTION: how many grams of water must be evaporated from 10 grams of 40 % saline to produce a 50 % solution

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Question 694318: how many grams of water must be evaporated from 10 grams of 40 % saline to produce a 50 % solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
there is +.4%2A10+=+4+ grams of salt in the 40% solution
Let +w+ = grams of water to be evaporated
When the water is all evaporated, you still have +4+ grams of
salt in the solution
-----------------
+4+%2F+%28+10+-+w+%29+=+.5+
+4+=+.5%2A%28+10+-+w+%29+
+4+=+5+-+.5w+
+.5w+=+5+-+4+
+.5w+=+1+
+w+=+2+
2 grams of water must be evaporated to
produce a 50% solution
--------------------
check:
There is +10+-+4+=+6+ grams of water to start with
There is +6+-+2+=+4+ grams of water left
The solution is +4+%2B+4+=+8+ grams total
++4+%2F+8+=+.5+
OK