Problema Solution

a disc jockey must play 12 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 8 min, how many 30 second commercials were played that hour? How many 60 second commercials?

Answer provided by our tutors

30a+60b=480

a+b=12

a=12-b

30(12-b)+60b=480

360+30b=480

30b=120

b=4

so 4 60 second commercials were played and 8 30 second commercials were played