A disc jockey must allow time for 24 minutes of commercials every hour, along with 4 minutes for news, 3 minutes for weather, and 2 minutes for public-service announcements. If each record lasts and average of 3 minutes, how many records per hour can the DJ play?

Question

anonymous · Answer

First find the total amount of time the DJ has to play records. To do this, take his initial time (60) and subtract the time needed for commercials, news, weather, and public service announcements.

anonymous · Answer

these are the choices. 3 seconds per hour 6  seconds per hour 9 seconds per hour and 12 seconds per hour

anonymous · Answer

Okay, but let's just work on solving the problem. So can you subtract the time needed for commercials, news, weather, and public service announcements from the total time?

anonymous · Answer

so i take 60, and subtract the commericals, news, weather and public service announcements ?

anonymous · Answer

Correct.

anonymous · Answer

would it be 12 seconds per hour then?

anonymous · Answer

Well what did you get when you did the subtraction?

anonymous · Answer

well, i got 51? but this doesnt make sense to me :/

anonymous · Answer

So we have 60. Now we subtract 24. So 60-24=?

anonymous · Answer

36 !

anonymous · Answer

Good, so now what is 36-4=?

anonymous · Answer

32

anonymous · Answer

And now 32-3=?

anonymous · Answer

29

anonymous · Answer

And finally, 29-2=?

anonymous · Answer

27

anonymous · Answer

Ok, nice. So now we know that the DJ has 27 minutes not spent playing records. To find out how many records he can play, we'll use the formula $$\large \sf \frac{Time~the~DJ~can~play~records}{Time~per~records}~=~Amount~of~records~played$$

anonymous · Answer

Whoops, I had a typo. I meant to say SPENT playing record. So imagine the "not" doesn't exist.

anonymous · Answer

okay, so now how do i do  this.

anonymous · Answer

Well all we have to do is plug in the numbers. How much time does the DJ have to play records? (Hint: We just subtracted to find this out). And how much time does a record take? (Hint: It's in the original question)

anonymous · Answer

is it 27- 24?

anonymous · Answer

No, we are dividing.

anonymous · Answer

Can you answer the questions I asked in my previous post?

anonymous · Answer

im trying D: okay so it will be 27 divided by 3? im so confused with plugging in these numbers.

anonymous · Answer

Yes, it would be 27 divided by 3 :).

anonymous · Answer

thank you so much !!!

anonymous · Answer

No problem :)