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11 October, 05:04

Big Gym Fitness charges $22 per month for a membership. All-Day Fitness charges $20 per month plus $50 membership fee. After how many months will the total amount paid to the two fitness clubs be the same?

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  1. 11 October, 07:52
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    25 months

    Step-by-step explanation:

    Big Gym Fitness charges $22 per month for a membership.

    After x months, the charges will be:

    22 * x = 22x

    All-Day Fitness charges $20 per month plus $50 membership fee.

    The membership fee is a one time payment. Hence, after x months, the charges will be:

    50 + 20*x = 50 + 20x

    After a certain number of months (x months), the two fitness clubs will have the same charges. This occurs when:

    22x = 50 + 20x

    Hence, solving for x:

    22x - 20x = 50

    2x = 50

    x = 50 / 2 = 25 months.

    Their charges will be the same after 25 months.
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