Question

One month Mai rented 12 movies and 2 video games for a total of $53. The next month she rented 3 movies and 5 video games for a total of $38. Find the rental cost for each movie and each video game.

Answer 1

Movie cost $3.5 and the video game cost $5.5

Explanation:

Given data

Let the cost of movies be x

and the cost of video game be y

12x+2y= 53----------1

and

3x+5y= 38-----------2

solve 1 and 2

12x+2y= 53X 5

3x+5y= 38 X2

60x+10y= 265

- 6x+10y= 76

54x= 189

x= 189/54

x= $3.5

put x= 3.5 in 1

12(3.5)+2y= 53

42+2y= 53

2y= 53-42

2y= 11

y= 11/2

y= $5.5

Hence the movie cost $3.5 and the video game cost $5.5