Question

A cable television provider charges $75 for installation and 39.96 per month for a basic entertainment package. A satellite television provider offers free installation and charges $13.32 per month for service for each television. Your neighbor subscribes to the cable provider the same month you subscribe to the satellite provider. After how many months is your neighbor's total cost the same as your total cost when you own three televisions. Please help. :p

Answer 1

Installation charge is a fixed charge, it is applicable only once.

Now, suppose it takes n months to equalize the total cost of neighbor when own one television and the total cost when I own three televisions.

According to the question, we have

3(0+13.32n)=75+39.96n

39.96n=39.96n+75

As, it is clear that this equation has no solution. It means the total cost of the neighbor when own one television and the total cost when I own three televisions can never be equal.

The cost to me will always be less than my neighbor.