Question

An online movie streaming 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

`36` movies.

Explanation:

Setup the equation like this

`45 + 2.50x = 3.75x`

Here

• `x =` NUMBER OF MOVIES
• `45 =` Annual rate
• `2.50 =` price of movie with annual fee
• `3.75 =` price of movie with no fee

Now we solve for `x`. Move `x` to one side by subtracting `2.50x` on each side

`45 = 1.25x`

We want `x` by itself, so divide `45` by each side.

`45/1.25 = x`

`x = 36`