Posted by **Anonymous** on Monday, September 20, 2010 at 10:17pm.

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 during 1 hour is 11 min, how many 30-second commercials were played that hour. How many 60-second commercials.

- Math -
**Henry**, Wednesday, September 22, 2010 at 12:54am
11 min * 60 s/min = 660 s,

x - 30 s comm,

y - 60 s comm,

x + y = 14 comm,

y = 14 - x,

30x + 60y = 660 s,

Substitute 14 - x for y:

30x + 60(14 - x) = 660,

30x + 840 - 60x = 660,

-60x = 660 - 840

-30x = -180,

x = 6 30 s comm,

6 + y = 14,

y = 8 60 s comm.

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