Question

10. Andrea joined a movie club, in which members can

purchase movies for $12 cach, after paying the lifetime
meinbership fee. Including the fee, her average cost per
movic has been $16. If Andrea has purchased 24 movies, what is the cost of lifetime membership in the movie
club?

Answer 1

The cost of lifetime membership in the movie club is $96.

Explanation:

Given,

Cost per movie = $12

Let,

m be the number of movies

f be the membership fee.

Total amount = 12m+f Eqn 1

Now it is given that cost per movie including fee is $16.

And there are 24 movies bought.

Therefore;

Cost of 24 movies including fee = 16*24 = $384

Now,

Putting this amount and number of movies m in Eqn 1

`384=12(24)+f\\384=288+f\\384-288=f\\96=f\\f=96`

The cost of lifetime membership in the movie club is $96.