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2 February, 10:41

Rachel and Sarah belong to different gyms. Rachel's gym charges a one-time registration fee of $15 and then charges $35 per month. Whereas Sarah only pays $25 per month but had to pay a $75 registration fee. After how many months will Rachel and Sarah have spent the same amount on their gym memberships?

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  1. 2 February, 12:02
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    Rachel's equation: y=35x+15 x=per month y=money earned

    Sarah's equation: y=25x+75

    Set them equal to each other

    35x+15=25x+75

    -25x - 25x

    10x+15=75

    -15 - 15

    10x=60

    /10 / 10

    x=6

    At 6 months, Rachel and Sarah will have spent the same amount of money.
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