SOLUTION: Two liters of a 3% acid solution needs to be diluted to a 2% solution. How many liters of an 1% acid solution should be mixed with the 2-liter solution?.

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Question 1069188: Two liters of a 3% acid solution needs to be diluted to a 2% solution. How many liters of an 1% acid solution should be mixed with the 2-liter solution?.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of the 1% solution needed
+.01x+ = liters of acid in the 1% solution
+.03%2A2+=+.06+ liters of acid in 3% solution
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+%28+.01x+%2B+.06+%29+%2F+%28+x+%2B+2+%29+=+.02+
+.01x+%2B+.06+=+.02%2A%28+x+%2B+2+%29+
+.01x+%2B+.06+=+.02x+%2B+.04+
+.01x+=+.02+
+x+=+2+
2 liters of the 1% solution are needed
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check:
+%28+.01x+%2B+.06+%29+%2F+%28+x+%2B+2+%29+=+.02+
+%28+.01%2A2+%2B+.06+%29+%2F+%28+2+%2B+2+%29+=+.02+
+%28+.02+%2B+.06+%29+%2F+4+=+.02+
+.08+=+.02%2A4+
+.08+=+.08+
OK