Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-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 $18.00 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.
A) 25 times
B) 26 times
C) 23 times
D) 24 times

Question

Quizplus · Accepted Answer

Let $x$ represent the number of times the train is used in a month. Without the pass, the cost is $1.50x$. With the pass, the cost is $18 + 0.75x$. Setting these equal to find when the costs are the same: $1.50x = 18 + 0.75x$. Solving for $x$ gives $x = 24$.

Set Up an Equation That Can Be Used to Solve