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

Question

xeze [42]

2 years ago

10

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

Mathematics

1 answer:

valentina_108 [34] · Answer 1 · 2022-07-26T10:05:41+03:00

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