Question

One month Alonzo rented 6 movies and 5 video games for a total of $56. The next month he rented 2 movies and 3 video games for a total of

$26. Find the rental cost for each movie and each video game.

Answer 1

1st equation: 6m +5v = 56

2nd equation: 2m + 3v = 26

multiply 2nd eq. by 3

3rd equation = 6m +9v =78

subtract 1st from 3rd: 4v = 22

v = 22/4 = 5.5 so videos cost 5.50 each

now use 1st eq. to solve for m:

6m +5(5.50) = 56 =

6m + 27.50 = 56=

6m = 28.5

m = 28.5/6 = 4.75 each movie

video cost 5.50

movie cost 4.75