SOLUTION: How many liters of a 1% solution must be added to 12 liters of a 4%solution to obtain a 2% solution?

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Question 783376: How many liters of a 1% solution must be added to 12 liters of a 4%solution to obtain a 2% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 1% solution needed
+.01x+ = liters of chemical in 1% solution
+.04%2A12+=+.48+ liter of chemical in 4% solution
------------------
+%28+.01x+%2B+.48+%29+%2F+%28+x+%2B+12+%29+=+.02+
+.01x+%2B+.48+=+.02%2A%28+x+%2B+12+%29+
+.01x+%2B+.48+=+.02x+%2B+.24+
+.01x+=+.24+
+x+=+24+
24 liters of 1% solution are needed
check:
+%28+.01x+%2B+.48+%29+%2F+%28+x+%2B+12+%29+=+.02+
+%28+.01%2A24+%2B+.48+%29+%2F+%28+24+%2B+12+%29+=+.02+
+%28+.24+%2B+.48+%29+%2F+36+=+.02+
+.72+=+.02%2A36+
+.72+=+.72+
OK