Problema Solution
a train ticket in a certain city costs $2.50. People who use the train also have to option of purchasing a frequent rider pass for $17.25 each month. With the pass, each ticket costs only $1.75. 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 provided by our tutors
let 't' represent the number of tickets a rider purchases, then:
monthly cost with a pass: 17.25 + 1.75t
monthly cost without a pass: 2.5t
the want to solve for 't' when the two cost expressions are equal:
17.25 + 1.75t = 2.5t
17.25 = 0.75t
t = 17.25 / 0.75
t = 23
the train must be used 23 times in a month for the total monthly cost without the pass to be the same as the total monthly cost with the pass