The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?

Group of answer choices

2 games; $16

3 games; $22

6 games; $38

4 games; $27

Answer: it would take 4 game rentals for the cost to be the same at both stores.

Step-by-step explanation:

Let x represent the number of game rentals for which the cost would be the same at both stores.

The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. It means that the cost of renting x games at this store is

5 + 5.5x

The Game Bank charges an annual fee of $17 plus $2.50 per game. It means that the cost of renting x games at this store is

17 + 2.5x

For the cost to be the same at both stores, the number of game rentals would be

5 + 5.5x = 17 + 2.5x

5.5x - 2.5x = 17 - 5

3x = 12

x = 12/3

x = 4