I'm having trouble with this question
At the movies, it costs $5.00 to rent each movie. If you do not return the rentals on
time, it costs you $3.00per movie rental per day. You recently rented movies from the
business and returned them 2 days late. The total cost of the rental including the late fees
was $33. Write an equation to show how many movies you rented. Solve the equation.
$5 per movie, + $3 per each late day.
A movie that is 2 days late, then, is:
$ ( 5 + 3 + 3) = $ 11
Now that we know the cost per movie, we need to know how many movies were rented. Total cost was 33. Each movie was 11. Then,
33/11 = 3 movies rented.
To solve this problem, we can start by defining some variables:
Let x be the number of movies rented.
Let y be the number of days the movies were rented late.
The cost of renting each movie is $5.00. Since there are x movies, the total cost of renting the movies without any late fees is 5x.
The cost of late fees per movie per day is $3.00. Since there are x movies and they were returned 2 days late, the total cost of the late fees is 3(2x) = 6x.
The total cost of renting the movies including the late fees is $33. We can write an equation to represent this:
5x + 6x = 33
Now we can solve the equation:
Combine like terms: 5x + 6x = 11x
Simplify: 11x = 33
Divide both sides of the equation by 11: x = 33/11
Simplify: x = 3
Therefore, you rented 3 movies.