Question

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21, and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

Answer 1

14 videos

Explanation:

4n=21+2.5n

1.5n=21

n=21/1.5

n=14

Answer 2

14 Videos

Explanation:

Let x be the number of videos rentable.

From the information given from the question, we know that:

Case A: Non-members

Cost to rent videos = $4x

Case B: Members

Cost to rent videos = $(21 + 2.5x)

So given from the question, we can use:

4x = 21 + 2.5x to solve for x.

`4x = 21 + 2.5x \\ 4x - 2.5x = 21 + 2.5x - 2.5x \\ 1.5x = 21 \\ x = (21)/(1.5) \\ = 14`