SOLUTION: How many liters of water should be evaporated from 140 liters of a 12% saline solution so that the solution that remains is a 20% saline solution.

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Question 705998: How many liters of water should be evaporated from 140 liters of a 12% saline solution so that the solution that remains is a 20% saline solution.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The saline quantity stays the same but the water keeping it in solution becomes less. w is water to remove.
140%2A0.12%2F%28140-w%29=0.20
find w.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = liters of water to be evaporated
+.12%2A140+=+16.8+ liters of salt in 12% solution
--------------
You start with +16.8+ liters of salt,
and you finish with the same amount.
+16.8+%2F+%28+140+-+w+%29+=+.2+
+16.8+=+.2%2A%28+140+-+w+%29+
+16.8+=+28+-+.2w+
+.2w+=+28+-+16.8+
+.2w+=+11.2+
+w+=+56+
56 liters of water need to be evaporated
check:
+16.8+%2F+%28+140+-+w+%29+=+.2+
+16.8+%2F+%28+140+-+56+%29+=+.2+
+16.8+%2F+84+=+.2+
+16.8+=+.2%2A84+
+16.8+=+16.8+
OK