Classroom Use 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?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
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Classroom Use 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?
Transcribed Image Text:Classroom Use 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?
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