SOLUTION: How many liters of a 52% citrus solution must be added to 30 liters of a 24% citrus solution to make a 40% citrus solution?

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Question 996547: How many liters of a 52% citrus solution must be added to 30 liters of a 24% citrus solution to make a 40% citrus solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 52% solution needed
+.24%2A30+=+7.2+ liters of 24% solution
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+%28+.52x+%2B+7.2+%29+%2F+%28+x+%2B+30+%29+=+.4+
+.52x+%2B+7.2+=+.4%2A%28+x+%2B+30+%29+
+.52x+%2B+7.2+=+.4x+%2B+12+
+.12x+=+4.8+
+x+=+40+
40 liters of 52% solution are needed
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check:
+%28+.52x+%2B+7.2+%29+%2F+%28+x+%2B+30+%29+=+.4+
+%28+.52%2A40+%2B+7.2+%29+%2F+%28+40+%2B+30+%29+=+.4+
+%28+20.8+%2B+7.2+%29+%2F+70+=+.4+
+28%2F70+=+.4+
+28+=+.4%2A70+
+28+=+28+
OK