Question

A local water park has two types of season passes. Plan A costs a one-time fee of $142 for admission plus$10 for parking every trip. Plan B costs a one-time fee of $46 for parking plus $22 for admission every trip.How many visits must a person make for plan A and plan B to be equal in value?O 8O 7O 3O 16

Answer 1

To answer this question, we will set an equation that describes the total cost of each plan after a certain number of visits.

Let n be the number of visits for which both plans cost the same, then we can set the following equation:

`142+10n=46+22n\text{.}`

Solving the above equation for n we get:

`\begin{gathered} 142-46=22n-10n, \\ 96=12n, \\ (96)/(12)=n, \\ 8=n\text{.} \end{gathered}`

Therefore, a person must make 8 visits for plans A and B to be equal in value.

Answer: 8.