Question

You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13

Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?

Answer 1

Variables

Let m = number of movies rented

Let g = number of video games rented

Given:

• cost of renting one movie = $2
• cost of renting one video game = $3
• total money spent = $13
• total rentals = 5

System of equations

m + g = 5

2m + 3g = 13

Solution

Rewrite m + g = 5 to make m the subject:

⇒ m = 5 - g

Substitute this equation into 2m + 3g = 13 and solve for g:

⇒ 2(5 - g) + 3g = 13

⇒ 10 - 2g + 3g = 13

⇒ 10 + g = 13

⇒ g = 3

Substitute found value of g into m = 5 - g and solve for m:

⇒ m = 5 - 3

⇒ m = 2

Therefore, 2 movies and 3 video games were rented.