contestada

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.

Respuesta :

MrRoyal

Answer:

20 games

Step-by-step explanation:

Given

Customers:

[tex]Rent = \$5[/tex] per game

Members:

[tex]Membership = \$50[/tex]

[tex]Rent = \$2.50[/tex] 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: [tex]5 * g[/tex]

For Members

g games cost: [tex]50 + 2.50 * g[/tex]

Equate both expressions:

[tex]5 * g = 50 + 2.50 * g[/tex]

[tex]5g = 50 + 2.5 g[/tex]

Collect like terms

[tex]5g -2.5g= 50[/tex]

[tex]2.5g= 50[/tex]

Solve for g

[tex]g = 50/2.5[/tex]

[tex]g = 20[/tex]

Otras preguntas