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30 September, 03:18

At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup, but after that, each month at the gym costs $22. After how many months will the cost of both gyms be the same?

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  1. 30 September, 04:51
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    4 months

    Step-by-step explanation:

    At the first gym, $12 is the start-up fee and after that each month at the gym costs $20.

    At the second gym, $4 is the start-up fee and after that each month at the gym costs $22.

    Let us assume that after x months the cost of both the gym will be the same.

    Therefore,

    12 + 20x = 4 + 22x

    ⇒ 2x = 8

    ⇒ x = 4 months. (Answer)
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