Question

The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon​ book, the fare is reduced to​ $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon​ book?

Answer 1

21

Explanation:

The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Solution

Let

y = number of bus fares.

Cost of bus fares without coupon book = 1.50y

Cost of bus fares with coupon book = .50y + 21

Equate cost of bus fares without coupon book and cost of bus fares with coupon book

1.50y = .50y + 21

Subtract .50y from both sides of the equation

1.50y - .50y = .50y + 21 - .50y

1.00y = 21

Divide both sides by 1.00

y = 21 / 1.00

y = 21 times