A movie club charges a one-time membership fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?

1. There are 2 movie Clubs

Movie Club A = Charges 25 dollars for one time membership fee, the charges 7 dollars each movie a member purchase

Movie Club B = DO not charge membership Fee but charges 12 dollars each person purchase a movie ticket.

Let’s find out how many movies will this movie clubs get equal amount

Movie Club A

25 + 7 = 32

32 + 7 = 39

39 + 7 = 46

46 + 7 = 53

53 + 7 = 60

Movie Club B

12

12 + 12 = 24

24 + 12 = 36

36 + 12 = 48

48 + 12 = 60

Thus, on the 5th purchase of the person on both movie club, they get the same amount.