Question

4. A local DVD rental machine rents

movies out to customers for $5.75
per movie. A digital movie company
allows you to rent movies for $3.25
but requires a membership fee of
$40. How many movie rentals will it
take for both options to be the same
price?

Answer 1

It takes 16 movie rentals for both options to be the same price

Solution:

Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.

A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.

We have to find how many movie rentals will it take for both options to be the same price?

Now, let the number of movies rented be "n"

Then, according to the given information,

`\begin{array}{l}{5.75 * n=3.25 * n+40} \\\\ {5.75 n=3.25 n+40} \\\\ {5.75 n-3.25 n=40} \\\\ {2.50 n=40} \\\\ {n=(40)/(2.5)=16}\end{array}`

Hence, it takes 16 movies to be the same price for both options.