A video store charges $3.50 to rent a DVD. Every fourth DVD that a customer rents is free. Brooke paid a total of $252 last year for renting DVDs. How many free DVDs did she receive?
252/3.5 = 72 videos rented
72/3 = ______ free DVDs
252 divided by 3.5 =72videos rented
72 divided by four =24 free DVDs
She only has to buy 3 DVDs to get a freebie.
To find out how many free DVDs Brooke received, we first need to determine the total number of DVDs she rented in a year.
Let's assume Brooke rented x DVDs in a year.
According to the given information, the cost to rent a DVD is $3.50, and every fourth DVD is free. This means that out of every four DVDs, three will be paid for and the fourth one will be free.
So, if Brooke rented x DVDs in a year, she would have paid for (3/4) of the DVDs and received (1/4) of the DVDs for free.
The cost of the paid DVDs is (3/4) * x * $3.50, which is equal to (3x/4) * $3.50.
The cost of the free DVDs is ($0.00) since they are free.
Since the total amount Brooke paid for renting DVDs in a year is $252, we can set up the equation:
(3x/4) * $3.50 + $0.00 = $252.
Now, let's solve the equation:
(3x/4) * $3.50 = $252
(3x/4) = $252 / $3.50
(3x/4) = 72
3x = 72 * 4
3x = 288
x = 288 / 3
x = 96
Therefore, Brooke rented a total of 96 DVDs in a year.
Now, let's calculate the number of free DVDs she received.
Since every fourth DVD is free, we can calculate the number of free DVDs as (1/4) * 96 = 24.
Therefore, Brooke received 24 free DVDs.