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19 January, 03:21

A gym membership at A costs $10/month plus a one-time membership fee of $15, and at B, the memberships costs $4/month plus a one-time $40 fee. After about how many months will the gym memberships cost the same amount?

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  1. 19 January, 03:39
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    Answer: it will take about 5 months for the cost to be the same

    Step-by-step explanation:

    Let x represent the number of months it will take for the gym memberships to cost the same amount.

    A gym membership at A costs $10/month plus a one-time membership fee of $15. This means that the total cost for x months would be

    10x + 15

    At B, the memberships costs $4/month plus a one-time $40 fee. This means that the total cost for x months would be

    4x + 40

    For the costs to be the same,

    10x + 15 = 4x + 40

    10x - 4x = 40 - 15

    6x = 25

    x = 25/6 = 4.2
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