Question

A fourth friend, Beth, rents her movies and video games from a different store. At this store, the rental fee for a movie is the same as the rental fee for a video game. The total cost of renting 2 movies and 3 video games is the same at both stores. Determine the rental fee that Beth′s store charges for each movie or video game. Explain your answer. Enter your answer and your explanation in the space provided.

Answer 1

Let's call the rental fee for a movie at Beth's store "m" and the rental fee for a video game "v".

At the first store, the cost of renting 2 movies and 3 video games is:

2m + 3v

At Beth's store, the cost of renting 2 movies and 3 video games is:

2v + 3v = 5v

We know that these two costs are the same, so we can set them equal to each other and solve for "v":

2m + 3v = 5v

2m = 2v

m = v

So, the rental fee for a movie at Beth's store is the same as the rental fee for a video game at Beth's store. Both are represented by the variable "v".

Therefore, the rental fee that Beth's store charges for each movie or video game is "v".