Answer:
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:
[tex]2x+3y=23[/tex]
If in another month he rented 4 movies and 8 video games for a total of $57, this can be expressed as:
[tex]4x+8y=57[/tex]
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
