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The bus fare without a coupon book is $1.50 a coupon book cost $30.00, with the coupon book the fare is reduced $0.50. How many times a month must the bus be used so the total monthly cost is the same with the book as it is without it

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  1. 3 June, 05:54
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    Answer: the bus would be used 30 times for the monthly costs to be the same.

    Step-by-step explanation:

    Let x represent the number of times in a month for which the bus must be used so the total monthly cost is the same with the book as it is without it.

    The bus fare without a coupon book is $1.50. This means that the total monthly cost of using the bus for x times without a coupon book is 1.5x

    A coupon book cost $30.00 and with the coupon book, the fare is reduced $0.50. This means that the total monthly cost of using the bus for x times with a coupon book is

    0.5x + 30

    For the monthly costs to be the same,

    1.5x = 0.5x + 30

    1.5x - 0.5x = 30

    x = 30
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