One month Ali rented 8 movies and 4 video games for a total of $41. The next month he rented 3 movies and 2 video games for a total of $18. Find the rental cost for each movie and each video game.

Answer 1

8M + 4V = 41

3M + 2V =18

8M+4V = 41

6M+4V = 36

2M = 5

M = 5/2 = $2.50 for a movie

3(5/2) +2V = 18

2V = 18-15/2 =21/2

V = 21/4 = $5.25 for a video

Answer 2

Step 1-

set variables-

movie = x

video games = y

Step 2- make system of equations from problem

8x + 4y = 41 - equation 1

3x + 2y = 18 - equation 2

Step 3 - Solve one equation and plug into another (I chose equation 2 u can choose either tho)

3x+2y = 18

2y = 18-3x

y = 9-1.5x

Step 4- plug y from step 3 into other equation (equation 1)

8x + 4(9-1.5x) = 41

8x + 36-6x = 41

2x+36 = 41

2x = 5

x = 2.5

A movie costs 2.5 dollars to rent

Step 5 - plug movie cost into equation 2

3x + 2y = 18

3(2.5) + 2y = 18

7.5 + 2y = 18

2y = 10.5

y = 5.25

A video game costs 10.25 dollars to rent

So, movie cost is 2.5 dollars and video game is 5.25 dollars.