Answer:10 games; $60
Explanation:
Let x represent the number of games rented at either stores. Let y represent the cost of renting x games at Fun guys rental.
Let z represent the cost of renting x games at Games bank.
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented.
The cost of x games will be
y = 5 + 5.5x
The Game Bank charges an annual fee of $35 plus $2.50 per game.
The cost of x games will be
z = 35 + 2.5x
Since we want to determine the number of games that will be played for the costs to be the same, we would equate y to z. It becomes
5 + 5.5x = 35 + 2.5x
5.5x - 2.5x = 35 - 5
3x = 30
x = 30/3 = 10
They will make 10 games rentals before the costs become the same.
To find the cost of 10 games, we will substitute x = 10 into one of the equations, it becomes
5 + 5.5× 10 = 5 + 55 = $60