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

Answer:

$M = 1.75$ --- Movies

$V = 5.5$ --- Video games

Step-by-step 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

$M = 1.75$