Problem:
A restaurant offers three desserts, and exactly twice as many appetizers as main courses. A dinner consists of an appetizer, a main course, and a dessert. What is the least number of main courses that the restaurant should offer so that a customer could have a different dinner each night in the year
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let denote the number of main courses needed to meet the requirement. Then the number of dinners available is . Thus must be at least . Since main courses is enough, but is not.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions