Question

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?

Answer 1

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.

$4500+(250x)=375x$

Let's start by subtracting 45 from both sides.

$4500+(250x)-4500=375x-4500$

Let's simplify it.

$250x=375x-4500$

Now, we need to subtract 375 from both sides.

$250x - 375=375x-4500+(-375)$

Simplify it once again.

$-125x=-4500$

Divide both sides by -125

$x=36$

This plan will be the same cost after 36 movies.