SOLUTION: a pharmacist has 100 ounces of a solution that is 3 1/2% iodine and 96 1/2% alcohol. how much alcohol should the pharmacist add to get a 1 1/2% iodine solution?

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Question 700831: a pharmacist has 100 ounces of a solution that is 3 1/2% iodine and 96 1/2% alcohol. how much alcohol should the pharmacist add to get a 1 1/2% iodine solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key is the amount of iodine does not change,
only the alcohol.
+.035%2A100+=+3.5+ ounces of iodine in 3.5% solution
Let +a+ = ounces of alcohol to be added
+3.5+%2F+%28+100+%2B+a+%29+=+.015+
+3.5+=+.015%2A%28+100+%2B+a+%29+
+3.5+=+1.5+%2B+.015a+
+.015a+=+2+
+a+=+133.333+
133.333 ounces of alcohol must be added
check:
+3.5+%2F+%28+100+%2B+a+%29+=+.015+
+3.5+%2F+%28+100+%2B+133.333+%29+=+.015+
+3.5+=+.015%2A233.333+
+3.5+=+3.5+
OK