SOLUTION: A nurse wishes to prepare a 15-ounce topical antiseptic solution containing 3% hydrogen peroxide. To obtain this mixture, purified water is to be added to the existing 1.5% and 10%

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Question 1136848: A nurse wishes to prepare a 15-ounce topical antiseptic solution containing 3% hydrogen peroxide. To obtain this mixture, purified water is to be added to the existing 1.5% and 10% hydrogen peroxide products. If only 3 ounces of the 10% hydrogen peroxide solution is available, how much of the 1.5% hydrogen peroxide solution and water is needed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ounces of 1.5% solution needed
Let +b+ = ounces of water needed
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(1) +a+%2B+b+%2B+3+=+15+
(2) +%28+.015a+%2B+.1%2A3+%29+%2F+15+=+.03+
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(2) +.015a+%2B+.3+=+.45+
(2) +.015a+=+.15+
(2) +a+=+10+
and
(1) +10+%2B+b+%2B+3+=+15+
(1) +b+=+2+
10 ounces of 1.5% solution is needed
2 ounces of water is needed
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check:
(2) +%28+.015a+%2B+.1%2A3+%29+%2F+15+=+.03+
(2) +%28+.015%2A10+%2B+.3+%29+%2F+15+=+.03+
(2) +.45%2F15+=+.03+
(2) +.45+=+.45+
OK