Question

Members at the star theather pay $30.00 per month plus 1.95 for each movie. Nonmembers pay the regular $7.95 admission fee. How many movies would both a member and a nonmember have to see in a month to pay the same amount?

Answer 1

5 films.

Step-by-step explanation:

Let us first express the amount of money, both member and nonmember will pay depending on the number of films they see.

Member will pay thirty dollars plus $1.95 for each film, which can be written as:

$30 + $1.95 • x

Nonmember will pay $7.95 for every film he sees, which can be written as:

$7.95 • x

Since it is given that they to pay the same amount, that means:

$30 + $1.95 • x = $7.95 • x

Now, let's find x:

$30 = $7.95 • x - $1.95 • x

$30 = $6 • x

x = 5

So, member and nonmember will have to see 5 films each in order to pay the same amount.