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prealgebra intermediate

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?
(A)
(B)
(C)
(D)
Solution
A senior ticket costs , so a regular ticket costs dollars. Therefore children's tickets cost half that, or , so we have: So Grandfather Wen pays , or .
Final answer
B