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.
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
From the following information in the problem, we construct the following equations: (assuming that we use m=movies and v=video games.)
Using the method of substitution:
and so m=19/2-v.
Substituting this into equation 1, we get:
v=5.75 and so m=3.75