One month Boris rented 2 movies and 5 video games for a total of $30. The next month he rented 8 movies and 3 video games for a total of $35. Find the rental cost for each movie and each video game.

Answer 1

Let's use variables to represent the rental cost for a movie and a video game. Let's call the cost for a movie "m" and the cost for a video game "v".

From the first month, we know that:

2m + 5v = 30

From the second month, we know that:

8m + 3v = 35

We now have two equations with two variables. We can use elimination or substitution to solve for "m" and "v".

Let's use elimination. We can multiply the first equation by 3 and the second equation by -5, so that we can eliminate "v":

6m + 15v = 90

-40m - 15v = -175

Adding the two equations gives:

-34m = -85

Dividing both sides by -34 gives:

m ≈ 2.50

Now we can substitute this value back into one of the original equations to solve for "v". Let's use the first equation:

2(2.50) + 5v = 30

5v = 25

v = 5

Therefore, the rental cost for each movie is $2.50 and the rental cost for each video game is $5.