Problem:
Three generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a discount as children. The two members of the oldest generation receive a discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs , is paying for everyone. How many dollars must he pay?
Answer Choices:
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Solution:
Grandfather Wen's ticket costs , which is of the full price, so each ticket at full price costs dollars, and each child's ticket costs dollars. The cost of all the tickets is .
The problems on this page are the property of the MAA's American Mathematics Competitions