Difference between revisions of "1953 AHSME Problems/Problem 9"
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Revision as of 15:29, 23 June 2016
Problem
The number of ounces of water needed to reduce ounces of shaving lotion containing % alcohol to a lotion containing % alcohol is:
Solution
Say we add ounces of water to the shaving lotion. Since half of a ounce bottle of shaving lotion is alcohol, we know that we have ounces of alcohol. We want (because we want the amount of alcohol, , to be , or , of the total amount of shaving lotion, ). Solving, we find that So, the total amount of water we need to add is .