SOLUTION: A disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time durinf 1 hour is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time durinf 1 hour is       Log On


   

Question 465633: A disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time durinf 1 hour is 11 min, how many 30 second commercials were played that hour?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and (14-x) represent the number of 60sec and 30sec commmercials respectively

Question states***

 60x + 30(14-x) = 11*60

Solving for x

      30x = 660 - 420

       30x = 240

         x = 8, the number of 60sec.  Six the number of 30sec



CHECKING our Answer***

 8*60 + 6*30 = 480 + 180 = 660sec or 11 min