SOLUTION: Calculate how much 10% acid solution and how much pure acid must be mixed to end up with exactly 12 liters of 30% acid solution. Rounding to the nearest houndredth of a liter, you'

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Question 1087124: Calculate how much 10% acid solution and how much pure acid must be mixed to end up with exactly 12 liters of 30% acid solution. Rounding to the nearest houndredth of a liter, you'll need ____ liters of pure acid.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 10% acid solution needed
++12+-+x+ = liters of pure acid needed
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+%28+.1x+%2B+%28+12+-+x+%29%29+%2F+12+=+.3+
+.1x+%2B+12+-+x+=+3.6+
+.9x+=+12+-+3.6+
+.9x+=+8.4+
+x+=+9.33+
9.33 liters of 10% acid solution is needed
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check answer:
+%28+.1x+%2B+%28+12+-+x+%29%29+%2F+12+=+.3+
+%28+.1%2A9.333+%2B+%28+12+-+9.333+%29%29+%2F+12+=+.3+
+%28+.9333+%2B+2.667+%29+%2F+12+=+.3+
+3.6+=+.3%2A12+
+3.6+=+3.6+
OK