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

Answer:

20 games

Step-by-step 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

$g = 50/2.5$

$g = 20$