In June, Sam rents 2 movies and 6 video games for a total of $50. In July, she rents 5 movies and 3 video games for a total of $41. Find the cost of renting each movie and each video game.

Question

 In June, Sam rents 2 movies and 6 video games for a total of $50. In July, she rents 5 movies and 3 video games for a total of $41. Find the cost of renting each movie and each video game.

Equation 1: 2m+ 6v=$50

Equation 2: 5m+3v=$41

Answer 1

10m+6v = 82 (after multiplying 2nd equation by 2) then subtract equation 1

2m +6v= 50

8m = 32

m = $4

6v =50-2m = 42

v = $7

$4 for a movie, $7 for a video