Question

You are a member of your local movie theater’s club. Every time you see a movie 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 earn a free movie pass.
Solve the equation. Show your work.

Answer 1

You have to watch 30 movies to earn a free movie pass.

Step-by-step explanation:

Given,

Points earned for each movie = 2 points

Current points = 40 points

Free movie pass = 100 points

Let,

x be the number of movies you have to watch.

2*number of movies + current points = 100

$2x+40=100$

Subtracting 40 from both sides

$2x+40-40=100-40\\2x=60$

Dividing both sides by 2

$\frac{2x}{2}=\frac{60}{2}\\x=30$

You have to watch 30 movies to earn a free movie pass.

Keywords: linear equation, division

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