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10 October, 08:01

Gym A charges a new member fee of $65 and $20 per month Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly

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  1. 10 October, 11:00
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    Answer: it will take 5 months for both gyms to cost the same.

    Step-by-step explanation:

    Let x represent the number of months for which the total cost of gyms are the same.

    Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be

    20x + 65

    Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.

    20% of 35 is 20/100 * 35 = 7

    The monthly charge would be

    35 - 7 = 28

    This means that the cost of using gym A for x months would be

    28x + 25

    The number of months that it will take for the cost of both gyms to be the same would be

    20x + 65 = 28x + 25

    28x - 20x = 65 - 25

    8x = 40

    x = 40/8 = 5
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