The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each DVD and paid $114 over a 4-month period, how many free DVD: did she obtain? Your Answer: 13 Report problen Hint

Respuesta :

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