Question

One month Maya rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the

rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:

Answer 1

`M = 1.75` --- Movies

`V = 5.5` --- Video games

Explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

`2M + 3V = 20`

The next month, the expression is:

`6M + 5V = 38`

Required

Find M and V

We have:

`2M + 3V = 20` --- (1)

`6M + 5V = 38` --- (2)

Multiply (1) by 3.

3 *
`2M + 3V = 20`

`6M + 9V = 60` --- (3)

Subtract (1) from (3)

`6M + 9V = 60`

-
`6M + 5V = 38`

-------------------------

`6M - 6M + 9V - 5V = 60 -38`

`4V = 22`

Divide by 4

`V = 5.5`

Substitute 5.5 for V in (1)

`2M + 3V = 20`

`2M + 3 * 5,5 = 20`

`2M + 16.5= 20`

Subtract 16.5 from both sides

`2M = 3.5`

Divide by 2

`M = 1.75`