Lionel is planning a one-day outing.

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

Based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

For this case, the first thing we must do is define variables.

We have then:

x: number of rides

y: total cost

We now write the equations for each park.

For The Thrill amusement park:

y = 5x + 40

For The Splash water park:

y = 3x + 60

Answer:

A system of equations that could be used to determine the solution where the cost per ride of the two amusement parks, and, is the same is:

y = 5x + 40

y = 3x + 60