Question

A train ticket in a certain city is $2.00. People who use the train also have the option of puchasing a frequent rider pass for $17.25 each month. With the pass, each ticket costs only $1.25. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.

Answer 1

Without the pass, the rider pays 2.00 * T

With the pass the rider pays 17.25 + 1.25*T

Set the two equal to each other, and solve for T

2.00 * T = 17.25 + 1.25 * T

where T is the number of tickets