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

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

step-by-step explanation:

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