Question

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 $11 plus $2.50 per game.

For how many game rentals will the cost be the same at both stores?

Answer 1

2 games

Explanation:

Given data

The Fun Guys game

charges annual fee of $5 plus $5.50 per game

let the number of games be x

and the total charges be y

The expression for the total is

y=5+5.5x---------------1

The Game Bank

charges an annual fee of $11 plus $2.50 per game.

y=11+2.5x---------------2

Equate 1 and 2 above

5+5.5x=11+2.5x

collect like terms

5.5x-2.5x= 11-5

3x= 6

divide both sides by 3

x= 6/3

x= 2

It will take 2 games