there is a three story building, with a total of 12 people in it. it rained. and the roof leaked.(adsbygoogle = window.adsbygoogle || []).push({});

the people from the third floor asked the second floor people if they could go down to the second floor. the second floor people then said they could only acomodate (on the second floor) the same number of people as there are already on it.

it rained more

the people from the second floor (together with the first floor refugees) asked the first floor people of they could go down to the first floor. they did the same thing the second floor people did: the number of people that can go down onto the first floor must be equal to the number of people that are on the first floor already.

if there were an equal number of people on all the floors after the changes, what was the original arrangement?

just for clarification: not everyone moves down a floor. some people have to stay on the higher floors even though its leaking there. also, there is the boring and the amazingly easy way to do the problem. not that its that hard anyway, but theres just an easier way

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Rainy day

**Physics Forums | Science Articles, Homework Help, Discussion**