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 during 1 hour is

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Question 612826: 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?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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?
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# of commercials: t + s = 14
commercial time:30t +60s = 11*60
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Modify:
t + s = 14
t +2s = 22
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Subtract and solve for "s":
s = 8 (# of 60 second commercials)
Solve for "t":
t + s = 14
t + 8 = 14
t = 6 (# of 30 second commercials)
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Cheers,
Stan H.
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