Question

A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. A second person pays $14.00 for a ticket to every game but doesn't buy programs. In how many games will they have paid the same amount?

Answer 1

The two person will pay the same amount of money when they both watch 9 hockey games.

How to find the equation and use it to find cost?

A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,

y = 99 + 3x

where

y = total cost

x = number of game

A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,

y = 14x

The number of games they will have the same amount is as follows:

99 + 3x = 14x

99  = 14x - 3x

99 = 11x

x = 99 / 11

x = 9

Therefore, they will have the same amount when they watch 9 games.

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