An online movie stream plan charges an annual fee of $45 plus $2.50 per movie watched. another plan has no annual fee but charges $3.75 per movie watched. for how many movies is the cost of the plans the same?

Ah, great question. Let me help you on this one.

We need to balance both equations for this to work out. This is needed because question asks us for an x variable that will make both equations equal to each other.

Let's write it out so it's easier for us to understand.

Let's not forget to multiply both sides by 100.



Let's start by subtracting 45 from both sides.



Let's simplify it.



Now, we need to subtract 375 from both sides.



Simplify it once again.



Divide both sides by -125



This plan will be the same cost after 36 movies.