Answer:
Let C represent the total cost of each deal 
Let T be the number of trips down the water slide 
 
C = 32 for the 1st deal since the cost is the same regardless of how much she rides 
C = 18 + T for the 2nd deal 
 
To find when the two costs are equal set them equal to each other and solve for T 
 
32 = 18 + T
T = 14 trips 
 
The cost must be $32 since that is the only cost possible for the 1st deal 
Explanation: