Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.Ronald plans to attend the Greene County Fair and is trying to decide what would be a better deal. He can pay $40 for unlimited rides, or he can pay $14 for admission plus $1 per ride. If Ronald goes on a certain number of rides, the two options wind up costing him the same amount. What is that cost? How many rides is that? rides. It will cost Ronald $__ for both options if he goes on __ rides.

Answer 1

It will cost Ronald $40 for both options if he goes on 26 rides

Let the number of rides be n

For the unlimited, we have a fixed cost of $40

For the second option, the equation below will suffice;

$14\text{ + n(1) = 14 + n}$

Since we are having same costs for the two options, we simply equate

Thus, we have it that;

$\begin{gathered} 14\text{ + n = 40} \\ n\text{ = 40-14} \\ n\text{ = 26} \end{gathered}$