Question

A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.

Answer 1

20 games

Explanation:

Given

Customers:

`Rent = \$5` per game

Members:

`Membership = \$50`

`Rent = \$2.50` per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost:
`5 * g`

For Members

g games cost:
`50 + 2.50 * g`

Equate both expressions:

`5 * g = 50 + 2.50 * g`

`5g = 50 + 2.5 g`

Collect like terms

`5g -2.5g= 50`

`2.5g= 50`

Solve for g

`g = 50/2.5`

`g = 20`