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 toroom 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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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