SOLUTION: A small school has 100 students who occupy three classrooms: A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the stu

Question 1198569: A small school has 100 students who occupy three classrooms: A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A.
Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

After the room changes, we have

or,

so, substituting in

since

and

students occupy room
students occupy room
students occupy room

during the move, students move to each room

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