SOLUTION: How many liters of 400L of 20% NaCl solution must be replaced with 70% NaCl solution so that the resulting solution is 41%?

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Question 736924: How many liters of 400L of 20% NaCl solution must be replaced with 70% NaCl solution so that the resulting solution is 41%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = liters of 20% solution to be removed
Also, +a+ = liters of 70% solution to be added
.2a+ = liters of NaCl removed
+.7a+ = liters of NaCl added
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+.7a+-+.2a+=+.5a+ liters of NaCl are added
+.2%2A400+=+80+ liters of NaCl to start with
--------------
+%28+80+%2B+.5a+%29+%2F+400+=+.41+
+80+%2B+.5a+=+.41%2A400+
+.5a+=+164+-+80+
+.5a+=+84+
+a+=+168+
168 liters of 400L of 20% NaCl solution must be
replaced with 70% NaCl solution
check:
+%28+80+%2B+.5a+%29+%2F+400+=+.41+
+%28+80+%2B+.5%2A168+%29+%2F+400+=+.41+
++80+%2B+84+=+.41%2A400+
+164+=+164+
OK