Question

One amusement park charges $2 per ride ticket plus $10 to enter. Another charges $1 per ride ticket plus $12 to enter. How many rides can you go on for the cost of the two amusement parks to be the same?

A. 1 ride
B. 2 rides
C. 3 rides
D. 4 rides

Answer 1

By setting up equations for the total cost of each amusement park, we can solve for the number of rides that makes both costs equal. The equation is balanced when the number of rides R equals 2, indicating that for 2 rides, the costs of both parks are the same.

Step-by-step explanation:

To find the number of rides where the cost of the two amusement parks will be the same, we can set up an equation where the total cost for each park is equal. Let's denote the number of rides as R.

• Park A: $10 (entry) + $2(R) per ride
• Park B: $12 (entry) + $1(R) per ride

The equation to find when the costs are equal is:

10 + 2R = 12 + R

To solve for R, we subtract R from both sides and then subtract 10 from both sides:

2R - R = 12 - 10

R = 2

Therefore, the number of rides for the costs to be equal at both parks is 2 rides (Option B).