Question

One month Donna rented 5 movies and 3 video games for a total of $39. The next month she rented 2 movies and 12 video games for a total of $75. Find the

rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:

Answer 1

The rental cost for each movie is $4.50 and the rental cost for each video game is $5.50.

Step-by-step explanation:

To find the rental cost for each movie and video game, we can set up a system of equations based on the given information.

Let's assign variables to the rental cost of a movie (m) and a video game (v).

From the first month: 5m + 3v = 39

From the second month: 2m + 12v = 75

We can solve this system of equations either by substitution or elimination. Let's use the elimination method.

Multiplying the first equation by 4 will allow us to eliminate the 'm' variable.

4(5m + 3v) = 4(39) => 20m + 12v = 156

Now, we can subtract the second equation from the new equation:

(20m + 12v) - (2m + 12v) = 156 - 75 => 18m = 81

Dividing both sides of the equation by 18, we find that m = 4.5.

Now, we can substitute the value of m back into either of the original equations to solve for v:

5(4.5) + 3v = 39 => 22.5 + 3v = 39 => 3v = 39 - 22.5 => 3v = 16.5 => v = 5.5

Therefore, the rental cost for each movie is $4.50 and the rental cost for each video game is $5.50.