SOLUTION: A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $17.25 each month. With the pass, each ticket costs

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $17.25 each month. With the pass, each ticket costs      Log On


   

Question 1199679: A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $17.25 each month. With the pass, each ticket costs only $0.75. 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 by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, number of tickets in a month

without the pass: 1.5x
with the pass: 0.75x%2B17.25

Look for the solution of 1.5x=0.75x%2B17.25.

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0.75x=17.25
x=17.25%2F0.75
x=23