Tommy plans to attend the Clinton County Fair and is trying to decide what would be a better deal. He can pay $36 for unlimited rides, or he can pay $14 for admission plus $2 per ride. If Tommy 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?

Let, n is the number of rides at which he pays same in both the deal.

Deal 1 :

Amount paid, A = $36 .

Deal 2 :

Amount paid, A = 14 + 2n

Equating both the equation, we get :

14 + 2n = 36

2n = 22

n = 11

Therefore, at a cost of $36 and at 11 rides both the deals are same.

Hence, this is the required solution.

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step-by-step explanation:

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