Question

A movie club charges a one-time

membership fee of $30. It 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
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.

Answer 1

Explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies