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18 July, 16:11

Bro Gym charges members $10 per month plus a one time fee of $100 to sign up. Muscles R' Us Gym charges members $20 per month plus a one time fee of $50 to sign up. After how many months would the cost of the gyms be equal?

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  1. 18 July, 16:38
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    Answer: it will take 5 hours for both costs to be equal

    Step-by-step explanation:

    Let x represent the number of months for which the cost of the gyms be equal.

    Bro Gym charges members $10 per month plus a one time fee of $100 to sign up. This means that the total amount that Bro Gym charges for x hours is

    10x + 100

    Muscles R' Us Gym charges members $20 per month plus a one time fee of $50 to sign up. This means that the total amount that Muscles R' Us Gym charges for x hours is

    20x + 50

    For both cost of the gyms to be equal,

    10x + 100 = 20x + 50

    20x - 10x = 100 - 50

    10x = 50

    x = 50/10 = 5
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