One month Donna rented 5 movies and 6 video games for a total of $48. The next month she rented 3 movies and 2 video games for a total of $18. Find the

rental cost for each movie and each video game.

Rental cost for each movie: s]

x

5

?

Rental cost for each video game: S

Cost for each movie: $1.50 Cost for each video game: $6.75

Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is + 3x2y dollars.

We're given that this total cost is $18, so we have = + 3x2y18.

The total cost of renting 5 movies and 6 video games is + 5x6y dollars.

We're given that this total cost is $48, so we have = + 5x6y48.

Therefore, we get the following system of equations.

=+3x2y18

=+5x6y48

Multiplying the first equation by - 3 and adding gives us the following.

-9 x - 6 y = - 54 5 x + 6 y = 48 - 4 x + 0 y = - 6

So we get the equation = -4x-6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in = + 3x2y18, the first equation in the system.

Then we solve for y.

+31.52y = 18

+4.52y = 18

2y = 13.5

y = 6.75

So, we have found that = x1.5 and = y6.75.

This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.