MAT103

Franklin College

Erich Prisner

### Writing Project 33:

# A Cinema Word Problem

In a cinema, the price is 12 SF per person. Students however do only pay 9
SF, and children pay only 1 SF each. If the total amount paid by 41 persons is
400 SF, how many of them were students and how many children?

Solve this problem, discuss the method, and explain wether or not your method
can be applied to the general problem where the prices are a, b, c, and the
total amount paid by the n persons is m. How does the choice of a, b, c,
n, m affect the number of solutions?