Problem Solving Competition

Third Problem

A professor teaches a graduate level course with 15 students in the class, an upper division course with 21 students in the class, and a Calculus course with 35 students in the class. The professor originally was given 100 tickets to the universities football game to distribute. After giving some out, the professor decides to distribute the rest of the tickets to the class which receives the highest mean score on their upcoming respective exams. If the professor distributes the tickets evenly to the graduate class, there will be 8 tickets left over, if the tickets are distributed evenly to the upper division class, there will be 11 tickets left over, and if the tickets are distributed evenly to the Calculus class, there will be 18 tickets left over. How many tickets does the professor have left to distribute to one of the classes?


Note: you must give your answer and explain how you found it. Answers without reasons will receive 0 points.

Solutions will be accepted till 5 PM Friday, October 28. You can give your solution either to Dominique Banner or to Maria Nogin (PB 341; slip your paper under the door if no one is in).

Please write on your paper:


Questions? Email Dominique Banner at dbanner@csufresno.edu