Question

A hockey season ticket holder pays $72.48 for her tickets plus $6.00 for a program each game. A secondperson pays $18.08 for a ticket to every game, but doesn't buy programs. In how many games will they havepaid the same amount?O 6O 5O 13O 4

Answer 1

Let x = the number of games. The problem can be rewritten as a system of equations:

Person 1 = 72.48 + 6x

Person 2 = 18.08x

We are looking for when the number of games for both are the same; so:

72.48 + 6x = 18.08x

Then:

72.48 = 18.08x - 6x

72.48 = 12.08x

x = 72.48/12.08

x = 6