Help me write and solve an equation, please?

Question

You are a member of your local movie theater's club. Every time you see a move at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently you have 40 advantage points. 

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

Solve the equation, show your work. 

(Can somebody please show the steps of how to write and solve this equation?) 

Answer 1

Shailey, let's say you watch 5 movies. Then you get 2(5) = 10 points, right?

 

If we watch m movies, then we get 2m points total.

 

We need 100 points and have 40, so we need 100 - 40 more points.

 

Our equation is then 2m = 100 - 40.

 

2m = 60 after combining like terms.

 

Dividing both sides by 2, we get m = 30.

 

I need to see 30 more movies to earn a free movie.

 

Hope this helps!