```Date: Sep 21, 2003 10:24 PM
Author: Guest
Subject: Word Problem help

Hey..please help me with this word problem:The auditorium at Centennial High Schoool has one thousand seats.numbered from 1 to 1000, One day each seat was filled and the 1000people followed these directions:First, each person stood up.Next, every second person, including the person in seat two sat down.Then every third person including the person in seat 3, changed to theopposite. That is, if the person was standing, he or she sat down. Ifthe person was sitting, he or she stood up.Following this, every fourth person, including the person in seat 4,changed to the opposite. Then, every fifth person, including theperson in seat 5, changed to the opposite, and so on. Finally, the onethousandth person changed to the opposite. After this last change, wasthe one thousandth person sitting or was that person standing?Questions:1. Was the person in seat 1 sitting or was that person standing?2. For which of the seats 1-20 were people sitting? Standing?3. Was the person in seat 1000 sitting or was that person standing?4. For which of seats 1-1000 were people standing?-- submissions: post to k12.ed.math or e-mail to k12math@k12groups.orgprivate e-mail to the k12.ed.math moderator: kem-moderator@k12groups.orgnewsgroup website: http://www.thinkspot.net/k12math/newsgroup charter: http://www.thinkspot.net/k12math/charter.html
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