Question

The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus can be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book

Answer 1

56 = 56

Explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

2.00x = 1.00x + 28

2.00(28) = 1.00(28) + 28

56 = 28 + 28

56 = 56