At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22

Question

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

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Bella 3 weeks 2021-11-08T15:02:29+00:00 1 Answer 0 views 0

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    2021-11-08T15:03:40+00:00

    Answer: it will take 6 months for both gyms to cost the same.

    Step-by-step explanation:

    Let m represent the number of months that it will take for the cost of both gyms be the same.

    At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

    12 + 20m

    At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

    For both costs to be the same, the number of months would be

    12 + 20m = 22m

    22m – 20m = 12

    2m = 12

    m = 12/2 = 6

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