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5] Great America has a season pass that costs $45 plus $7 each time you attend thepark, or you can pay $12 each time you go. How many times do you have to go beforeyou pay the exact same amount?

Respuesta :

Let the number of time he attend the park be represented with n.

So that,

C = 45 + 7n ....eqn(1)

C = 12n ..........eqn(2)

Equating both equations, we have,

[tex]\begin{gathered} 12n=45+7n \\ \text{Collecting like terms, we get} \\ 12n-7n=45 \\ 5n=45 \\ \text{Dividing both sides by 5, we get} \\ n=\frac{45}{5}=9 \end{gathered}[/tex]

He has to attend the park 9 times before he can pay exactly the same amount.

So, the correct answer is 9.

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