You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 4 advantage points. When you earn 100 points, you get a free movie pass.

Question

Currently, you have 40 advantage points.

Write an equation to model the number of movies m, you have to watch before you earn a free movie pass.

Solve the equation. Show your work.

Answer 1

Let m represent the number of movies watched before earning a free movie pass.

We know that for every movie watched, 4 advantage points are earned.

To earn a free movie pass, the total advantage points earned must be 100.

So, the equation to model this situation is:
40 + 4m = 100

Subtracting 40 from both sides:
4m = 60

Dividing by 4 on both sides:
m = 15

Therefore, you would need to watch 15 more movies to earn a free movie pass.