Question

One month Isabel rented 6 movies and 5 video games for a total of $50 . The next month she rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.

Answer 1

Each movie costs $3.75 while each video game costs $5.50.

Explanation:

Let the cost of each movie and the cost of each video game be $x and $y respectively.

6x + 5y = 50 ------ equation (1)

2x + 3y = 24 ------ equation (2)

Subtract 3 times of equation (2) from equation (1):

(6x + 5y) - 3(2x + 3y) = 50 - 3(24)

6x + 5y - 6x - 9y = 50 - 72

-4y = -22

4y = 22

∴ y = 5.5

Substitute y = 5.5 into equation (2):

2x + 3(5.5) = 24

2x = 7.5

∴ x = 3.75