Question

Hershey Park cost you $32.00 to get in and $4.00 per ride. Dollywood cost you $24.00 to get in and $5.00 per ride.

Let r represent the number of rides. Write an equation to represent the scenario.

After how many rides did you spend the same amount of money at each park?

Answer 1

HP = 4r + 32

DW = 5r + 24

After 8 rides, you will spend the same amount of money at each park.

Explanation:

Since each park charges a different amount for rides and entry fee, you will need to set up two different equations. The cost given is a flat fee for entry and then the cost per ride. At Hershey Park, it is $4 per ride and an entry fee of $32 or: 4r + 32. At Dollywood, it is $5 per ride and an entry fee of $24 or: 5r + 24. To find out how many rides you will ride to spend the same amount of money at each park, you can set the expressions equal to each other and solve for 'r':

4r + 32 = 5r + 24

Using inverse operations to isolate the variable: 8 = r, or 8 rides.