SOLUTION: How many liters of a 40% solution must be mixed with 60 liters of a 70% solution to get a 50% solution?

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Question 587821: How many liters of a 40% solution must be mixed with 60 liters of a 70% solution to get a 50% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = liters of 40% solution needed
+.7%2A60+=+42+ liters
given:
+%28+.4x+%2B+42+%29+%2F+%28+x+%2B+60+%29+=+.5+
+.4x+%2B+42+=+.5%2A%28+x+%2B+60+%29+
+.4x+%2B+42+=+.5x+%2B+30+
+.1x+=+12+
+x+=+120+
120 liters of the 40% solution are needed