Question

The thrill amusement park charges an entry fee of $40 an additional five dollars per ride, X splash water park charge is an entry fee of $60 and an additional three dollars per ride, X based on this information which systems of equations could be used to determine the solution where the cost per right of the two amusement parks, y, is the same ?

Answer 1

Let's use the variables T and R to represent the total cost and the number of rides, respectively, for the two amusement parks:

• For Thrill Amusement Park, the total cost T is given by T = 40 + 5R.
• For X Splash Water Park, the total cost T is given by T = 60 + 3R.

To find the solution where the cost per ride of the two parks is the same, we need to set the two total cost equations equal to each other and solve for R:

40 + 5R = 60 + 3R

Subtracting 3R from both sides, we get:

40 + 2R = 60

Subtracting 40 from both sides, we get:

2R = 20

Dividing both sides by 2, we get:

R = 10

Therefore, the two amusement parks have the same cost per ride when a customer rides for 10 times. We can check this by substituting R = 10 into either of the total cost equations and verifying that the total cost is the same for both parks.