SOLUTION: one month Rita rented 3 movies and 2 video games for a total of $24. The next month she rented 8 movies and 4 videos games for a total of $57. Find the rental cost for each movie

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: one month Rita rented 3 movies and 2 video games for a total of $24. The next month she rented 8 movies and 4 videos games for a total of $57. Find the rental cost for each movie       Log On


   

Question 1028568: one month Rita rented 3 movies and 2 video games for a total of $24. The next month she rented 8 movies and 4 videos games for a total of $57. Find the rental cost for each movie and video game.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make movies = x
Video games = y
3x + 2y = 24.......(1)
8x + 4y = 57.......(2)
Multiply Eq(1) by 2
6x + 4y = 48.......(1)
8x + 4y = 57.......(2)
Subtract Eq(1) from Eq(2)
2x = 9
x = 4.5
Substitute x = 4.5 into
Eq(2)
8x + 4y = 57.......(2)
8(4.5) + 4y = 57
36 + 4y = 57
4y = 57 - 36
4y = 21
y = 5.25
Movies cost $4.50 each
Video Games = $5.25 each
Hope this helps :-)