One month Rita rented 7 movies and 9 video games for a total of $78. The next month she rented 5 movies and 3 video games for a total of $36. Find the rental cost for each movie and each video game.

Guest Sep 7, 2020

#1**+1 **

7m + 9v = 78

5m + 3v = 36 multiply this equation by - 3

-15m - 9v = -108 add this equation to first

-8m = -30

m = 3.75 then v = 5.75

ElectricPavlov Sep 7, 2020

#2**+2 **

From the following information in the problem, we construct the following equations: (assuming that we use m=movies and v=video games.)

1.7m+9v=78

2. 5m+3v=36

Using the method of substitution:

7m+5m+9v+3v=114

12m+12v=114

m+v=19/2

and so m=19/2-v.

Substituting this into equation 1, we get:

7(19/2-v)+9v=78

66.5+2v=78

2v=11.5

v=5.75 and so m=3.75

Ericthegg123 Sep 7, 2020