A math puzzle!
There are 5 floors in a school. There are 20 classrooms on each floor, and there are 30 students in each classroom. There's enough lockers in the whole school to accomodate everybody, and each floor has an equal amount of lockers. On the floors, there are an equal amount of people from each floor that have a locker there (E.x. 500 lockers means 100 people from Fl. 1, 100 people from Fl. 2, etc.)
You can leave the school from any floor.
1) At the end of the school day, assuming that all students directly go to their lockers and out, which section of stairs is the busiest?
2) Even more complicated. There are the same number of classrooms and students attending the classes on each floor. Say the number of lockers on each floor (F1, F2, F3, F4, F5) have a ratio of 1:2:3:4:5, respectively. The number of students from each floor that have a locker on that floor have a ratio of 5:4:3:2:1, also respectively. Which section of stairs is the busiest now?
No, it's not my homework. My homework is graphing linear inequalities. This was a problem I made during the lunch break at a math contest, and later elaborated on.
Hope it was hard :|