1953 AHSME Problems/Problem 9
Contents
Problem
The number of ounces of water needed to reduce ounces of shaving lotion containing % alcohol to a lotion containing % alcohol is:
Solution 1
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 .
Solution 2
The concentration of alcohol after adding ounces of water is . To get a solution of 30% alcohol, we solve
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See Also
1953 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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