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3 April, 03:54

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

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  1. 3 April, 07:39
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    7 games

    Step-by-step 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
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