Question

One month Lamar rented 12 movies and 2 video games for a total of $ 41 . The next month he rented 3 movies and 5 video games for a total of $ 35 . Find the rental cost for each movie and each video game .

Answer 1

movies: $2.50 a,d video games: $5.50

Explanation:

movies = x

video games = y

a) 12x + 2y = 41

b) 3x + 5y = 35

b) -4 (3x + 5y = 35)

b) -12x -20y = -140

a+b = (12x+2y=41) + (-12x - 20y = -140)

= -18y = -99

y = -99/-18

y = 5.50

a) 12x + 2(5.5) = 41

12x + 11 = 41

12x = 41-11

12x = 30

x = 30/12

x = 2.50