Question

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?

Answer 1

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.