Question

One month Juan rented 2 movies and 3 video games for a total of $23. Thenext month he rented + movies and & video games for a total of $57. Findthe rental cost for each movie and each video game.

Answer 1

Cost of one movie = $3.25

Cost of one video game = $5.5

Explanations:

Let the rental cost of each movie be "x"

Let the rental cost for each video be "y"

If in one month Juan rented 2 movies and 3 video games for a total of $23, this can be expressed as:

`2x+3y=23`

If in another month he rented 4 movies and 8 video games for a total of $57, this can be expressed as:

`4x+8y=57`

Solve both equations simultaneously using the elimination method.

2x + 3y = 23 .................................... 1 * 2

4x + 8y = 57 .................................... 2 * 1

________________________________________

4x + 6y = 46

4x + 8y = 57

Subtract both equations

6y - 8y = 46 - 57

-2y = -11

y = 11/2

y = $5.5

Substitute y = 5.5 into equation 1

From equation 1, 2x + 3y = 23

2x + 3(5.5) = 23

2x + 16.5 = 23

2x = 23 - 16.5

2x = 6.5

x = 6.5/2

x = $3.25

Hence the cost for each movie is $3.25 and the cost of each video game is $5.5