A small school has 100 students who occupy three classrooms. A, B and C after the first period of the school day half of the students in room A move to room B one fifth of the students in room B move to room C and one thrid of the students in room C move to room A. The total number of students in each room is the same for both periods. How many students are in each room

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solve a+b+c=100...and b=(4/5)b+a/2...a=a/2+c/3...three equations three variable solve for the answer

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