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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.

 Sep 7, 2020
 #1
avatar+27847 
+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

 Sep 7, 2020
 #3
avatar+230 
+2

Your method is much easier then mines, great thinking!laugh

Ericthegg123  Sep 7, 2020
 #2
avatar+230 
+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

wink

 Sep 7, 2020

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