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

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