Let M = movies and V = video games
One month Luck rented 6 movies and 5 video games for a total of $50.
6M + 5V = 50
The next month she rented 2 movies and 3 video games for a total of $24.
2M + 3V = 24
Find the rental cost for each movie and each video game
I am going to choose the method of elimination. If I multiply the second equation by -3, the M will eliminate when I add the equations:
6M + 5V = 50
-3(2M + 3V = 24) = -6M - 9V = -72
ADD: 0M - 4V = -22
Divide by -4 V = 5.50
If video games cost $5.50, then find the cost of Movies by substituting in the second equation:
2M + 3(5.50) = 24
2M + 16.50 = 24
2M = 7.5
M = 3.75
Video games cost $5.50 and Movies cost $3.75
