Question

One month Boris rented 2 movies and 5 video games for a total of $33. The next month he rented 8 movies and 3 video games for a total of $30. Find the rental cost of each movie and you each video game.

Answer 1

m=cost per movie
v=cost per video game


2m+5v=33
8m+3v=30

use elimination

eliminate movies

mutliply first equation by -4 and add to 2nd
first equation becomes -8m-20v=-132
add the 2 equations

-8m-20v=-132
8m+3v=30 +
0m-17v=-102

-17v=-102
divide both sides by -17
v=6

subsiutute back

2m+5v=33
2m+5(6)=33
2m+30=33
minus 30 both sides
2m=3
divide 2
m=1.5

rental cost per movie is $1.50
rental cost per video game is $6