For every hour, a radio station broadcasts 15 minutes of advertising. Given that the station broadcast 24 hours a day, seven days a week. What is the total time that is spent broadcasting advertising over Saturday and Sunday? Give your answer in hours.
For every hour, or out of every hour, there is 15 minutes of advertising. We know that one hour equals 60 minutes. So, we can rewrite this ratio to say, out of every 60 minutes 15 minutes are advertising. From there, we can reduce this ratio. We can divide the numerator and the denominator by 15. 15 divided by 15 is one. And 60 divided by 15 is four. So, we can say that every hour one-fourth of the time is spent advertising.
We could see this visually. One-fourth of the time is spent advertising, 15 minutes out of every hour. But to solve this problem we’ll need to know something else. We’ll need to know how much time is spent broadcasting on Saturday and Sunday. They broadcast every day, 24 hours a day. Combined broadcasting time for Saturday and Sunday is 48 hours. 24 plus 24 is 48. We know that one-fourth of that time is spent advertising. So, we multiply 48 by one-fourth.
When we do that, we have 48 over four, which simplifies to 12. One-fourth of 48 equals 12. And that means during Saturday and Sunday there would be 12 hours of advertising. If we wanted to check, we could multiply 24 hours by one-fourth. 24 over four equals six. And that means that there is six hours of advertising per day. For two days, that would be 12 hours of advertising.