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12 April, 11:10

A phone company charges $25 per month, plus an installation fee of $50. If you have paid the phone company $375, how many months have you had the phone?

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  1. 12 April, 14:20
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    The total bill was inclusive of the one-time payment of $50 and an additional payment of $25 per month. The only unknown variable here is the amount of months you've had the phone. This can be solved by isolating the unknown variable, like so:

    Let: x = number of months

    Total bill = one-time payment + monthly payment * number of months

    $375 = $50 + $25x

    375 - 50 = 25x

    325 = 25x

    325/25 = 25x/25

    x = 13

    Therefore, you've had the phone for 13 months.
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