Question

a hockey season ticket holder pays $99.26 for her tickets plus $4.50 for a program each game. A second person pays $18.68 for a ticket to evey game, but doesn't buy programs. In how many games will they have paid the same amount

Answer 1

7 games

Explanation:

First Person:

Fixed Cost of 99.26

Variable Cost of 4.50 per game (program cost)

Second Person:

No Fixed Cost

Variable cost of 18.68 per game (ticket cost)

Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:

First Person Equation:

99.26 + 4.50x

Second Person Equation:

18.68x

Now, equate and solve for x:

99.26 + 4.50x = 18.68x

99.26 = 18.68x - 4.50x

99.26 = 14.18x

x = 99.26/14.18

x = 7

So, the answer is 7 games