Question

One month Justin rented 3 movies and 5 video games for a total of $39. The next month he rented 9 movies and 7 video games for a total of $63. Find the rental cost for each movie and each video game.​

Answer 1

Let m be the rental cost for movies.

Let v be the rental cost for video games.

We have the following system of linear equations:

3m + 5v= 38

6m + 2v = 26

Multiply the first equation by 2

6m + 10v = 76

6m + 2v = 26

Subtract the both equations.

8v = 50

Divide both sides by 50.

v = 6.25

Plug this value into any of the two equations to solve for m.

You get m=2.25

The rental cost for a movie is

$2.25

The rental cost for a video game is

$6.25

Have an awesome day! :)