work problem question

Question

One month Frank rented 3

 movies and 2

 video games for a total of $21

. The next month he rented 8

 movies and 4

 video games for a total of $49

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

what rental cost for each movies?

what renatal cost for each video games?

Answer 1

3m +2v = 21

8m +4v = 49

6m+4v = 2(21) =42

8m-6m = 49-42 =7

2m =7

m =7/2 = $3.50 for a movie

v= (21-3m)/2 = (21-10.5)/2 = 10.5/2 = $5.25 for a video

3(3.5) + 2(5.25)

=10.5 +10.5 = 21

8(3.5)+4(5.25)

= 28+ 21 = 49