A video store rents new release movies for $5 and favorites for $2.55. One day the number of new release movies rented was twice the number of favorites. If the total income for that day was $815.75, how many movies of each kind were rented?
A) 140 new release, 70 favorites
B) 150 new release, 75 favorites
C) 70 new release, 140 favorites
D) 65 new release, 130 favorites
E) 130 new release, 65 favorites

Question

Quizplus · Accepted Answer

Let's assume that the number of favorites rented was x. According to the question, the number of new release movies rented was twice the number of favorites, so the number of new release movies rented would be 2x.

Now, we can use this information to create an equation to solve for x:

Total income = (5)(2x) + (2.55)(x) = 10x + 2.55x = 12.55x

We know that the total income is $815.75, so:

12.55x = 815.75

x = 65

Therefore, the number of favorites rented was 65, and the number of new release movies rented was twice that, or 130. So the answer is E.

A Video Store Rents New Release Movies for $5 and Favorites