Problem:
At Typico High School, of the students like dancing, and the rest dislike it. Of those who like dancing, say that they like it, and the rest say that they dislike it. Of those who dislike dancing, say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
Answer Choices:
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Solution:
The students who like dancing but say they dislike it constitute of the students. Similarly, the students who dislike dancing and say they dislike it constitute of the students. Therefore the requested fraction is .
The problems on this page are the property of the MAA's American Mathematics Competitions