1973 AHSME Problems/Problem 33
Problem
When one ounce of water is added to a mixture of acid and water, the new mixture is acid. When one ounce of acid is added to the new mixture, the result is acid. The percentage of acid in the original mixture is
Solution
Let be the original number of ounces of acid and be the original number of ounces of water. We can write two equations since we know the percentage of acid after some water and acid. Cross-multiply to get rid of the fractions. Solve the system to get and . The percentage of acid in the original mixture is .
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 32 |
Followed by Problem 34 | |
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