SOLUTION: ACME Cable Television charges a $120 installation fee and $110 per month for basic service. Juan has so far spent atotal of $1660 for ACME’s cable service. How many months has he

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: ACME Cable Television charges a $120 installation fee and $110 per month for basic service. Juan has so far spent atotal of $1660 for ACME’s cable service. How many months has he      Log On


   

Question 1190949: ACME Cable Television charges a $120 installation fee and $110 per month for basic service. Juan has so far spent atotal of $1660 for ACME’s cable service. How many months has he had the service?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
c = 120 + 110 * x
c is the cost
120 is the installation fee
110 is the cost per month
x is the number of months
the equation is:
c = 120 + 110 * x = 1660
subtract 120 from both sides of this equation to get:
110 * x = 1540
divide both sides of this equation by 110 to get:
x = 14
c = 120 + 110 * 14 becomes 1660.
this confirms the number of months is correct.
your solutiion is 14 months.