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Word Problem help
Posted: Sep 21, 2003 10:24 PM

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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 1000
people 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 the
opposite. That is, if the person was standing, he or she sat down. If
the 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 the
person in seat 5, changed to the opposite, and so on. Finally, the one
thousandth person changed to the opposite. After this last change, was
the 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?

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