Carl's cable company charges $55 for monthly service plus $4 for each pay-per-view movie. Teleview cable company charges $110 per month with no fee for movies. For what number of movies is the cost of Carl's cable company less than the cost of Teleview ...?

Let us assume the number of movies for ehich the cost of both companies becomes the same = x

Then

55 + 4x = 110

4x = 110 - 55

4x = 55

x = 55/4

= 13.75

So

The number number of movies for which the cost of Carl's cable company is less than the cost of Teleview = 13.

I hope the procedure is clear enough for you to understand and this is the answer that you were actually looking for.