Video store A charges 7$ to rent a movie for one week. Although only members can rent from the store, membership is free. Video store B charges only 4$ to rent a movie for one week. Only members can rent from the store and membership is 78$ per year. After how many movie rentals will the total amount spent at each store be the same?

Question

Mathematics

Harmony Grant

1 February, 07:48

Video store A charges 7$ to rent a movie for one week. Although only members can rent from the store, membership is free. Video store B charges only 4$ to rent a movie for one week. Only members can rent from the store and membership is 78$ per year. After how many movie rentals will the total amount spent at each store be the same?

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Answers (1)

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Knox · Answer 1

26 games

Step-by-step explanation:

Video store A charges 7$ to rent a movie for one week. Only members can rent from the store since membership is free.

To rent x number movies from store A, the cost would be 7 * x = $7x

Video store B charges only 4$ to rent a movie for one week. Only members can rent from the store and membership is 78$ per year.

To rent y number of movies at store B, the cost would be 4 * y + fixed membership fee of $78

To find the number of movie rentals that will make the total amount spent at each store be the same,

y will be equal to x and equate both equations

7x = 4x + 78

3x = 78

x = 78/3

= 26 games