Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent = [tex]\frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}[/tex]
or
The total number of DVDs she took on rent = [tex]\frac{\textup{114}}{\textup{3}}[/tex]
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets [tex]\frac{\textup{1}}{\textup{3}}[/tex] free DVD
therefore,
For 38 DVD she gets [tex]\frac{\textup{38}}{\textup{3}}[/tex] free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs