Responses
http://www.mangago.me/read-manga/ichigo_jikan/
your description sounds similar to this manga!
Probably not what you are looking for, but here is one not with the student council but living with and adventures
http://www.mangago.me/read-manga/qq_sweeper/
Im looking for this manga ---> a girl gets transferred to another school and is going to live in a dorm but found out that there's no more rooms. Now she got taken in by the student council or by the president of the school (he's a guy). they started living together with lots of adventures.