SOLUTION: How many liters of a 20% salt solution must be added to 45 liters of a 60% salt solution, in order to produce a 35% salt solution? If possible, could you write out how it would be

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Question 724361: How many liters of a 20% salt solution must be added to 45 liters of a 60% salt solution, in order to produce a 35% salt solution? If possible, could you write out how it would be done?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 20% solution needed
+.2x+ = liters of salt in 20% solution
+.6%2A45+=+27+ liters of salt in 60% solution
-----------------
( total liters of salt ) / ( total liters of solution ) = 35%
+%28+.2x+%2B+27+%29+%2F+%28+x+%2B+45+%29+=+.35+
+.2x+%2B+27+=+.35%2A%28+x+%2B+45+%29+
+.2x+%2B+27+=+.35x+%2B+15.75+
+.15x+=+27+-+15.75+
+.15x+=+11.25+
+x+=+75+
75 liters of 20% solution are needed
check:
+%28+.2x+%2B+27+%29+%2F+%28+x+%2B+45+%29+=+.35+
+%28+.2%2A75+%2B+27+%29+%2F+%28+75+%2B+45+%29+=+.35+
+%28+15+%2B+27+%29+%2F+120+=+.35+
+42+=+.35%2A120+
+42+=+42+
OK