Question

Video Store A charges $8 to rent a video game for one week. Although only members can rent from the store, membership is free. Video Store B charges only $4 to rent a video game for one week. Only members can rent from the store and membership is $84 per year. After how many video game rentals will the total amount spent at each store be the same?

a) Write an equation to model the problem. Let x represent the number of video game rentals.
b) Solve the equation to find to answer the question. (Note: Include the units , which in this case is "rentals"; for example, if you find of a solution of 29, write: 29 rentals.)
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Answer 1

21 rentals

Explanation:

Video Store A = 8x

Video Store B = 84 + 4x

x = number of video game rentals.

After how many video game rentals will the total amount spent at each store be the same?

Video Store A = Video Store B

8x = 84 + 4x

8x - 4x = 84

4x = 84

x = 84/4

x = 21 rentals