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24 March, 22:12

Algebra problem: a rental car agency charges a flat fee of $138 plus $27 per day to rent a certain car. Another agency charges a fee of $47 plus $40 per day to rent the same car. Find the number of days for which the costs are the same. Round your answer to the nearest whole number of days.

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  1. 25 March, 00:05
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    Let the number of days be x.

    138 + 27x = 47 + 40x

    40x - 27x = 138 - 47

    13x = 91

    x = 7

    Ans: 7 days

    Detailed working:

    138 + 27x = 47 + 40x

    138 + 27x - 27x = 47 + 40x - 27x

    138 = 47 + 13x

    138 - 47 = 47 + 13x - 47

    91 = 13x

    13x = 91

    x = 91 : 13

    x = 7
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