[net.puzzle] Where did the dollar go?

op@ames-lm.UUCP (Operations) (02/01/84)

I don't know if this one was ever posted since I'm relatively new
to the net but here it goes.  By the way, I don't know the answer
and would appreciate it if someone out there does.


Three people go to a hotel for the night.  The guy at the desk tells
them that it will be $30 for the night.  So each of them give the 
clerk $10 and they go up to their room.  The clerk then realizes
that it should have been $25 for the night not $30 and gives the
bellboy $5 to take up the room.  The bellboy decides that he will
give each of them $1 and keep $2 for himself.  So they actually
paid $9 each and the bellboy kept $2 totaling to $29.

What happened to the missing dollar?


Michael Lee
NASA Ames Research Center
Moffett Field, CA

jeff@heurikon.UUCP (02/03/84)

The dollar didn't go anywhere.  The wording of the problem
simply coerces the reader into thinking he should take three
times nine and the *add* the two dollars and try to get $30.
The mathematics should go like this:  multiply three times
nine and *subtract* the two dollars, trying to get $25, which
you do.  But it's a teaser, all right!

The three each paid (net) $9.00, for a total of $27.00
The bellboy got $2.00 out of the $27.00
The hotel got the difference, $25.00
-- 
/"""\	Jeffrey Mattox, Heurikon Corp, Madison, WI
|O.O|	{harpo, hao, philabs}!seismo!uwvax!heurikon!jeff  (news & mail)
\_=_/				     ihnp4!heurikon!jeff  (mail - fast)

ags@pucc-i (Seaman) (02/03/84)

If your objective is to account for the original $30, then it's

	Paid for the room	$25
	Bellboy's "tip"		  2
	Change			  3
	---------------------------
	TOTAL			$30

Note that the bellboy's $2 is part of the $27 which you say they paid for
the room.  In order to get $29, you counted the bellboy's $2 twice and
you failed to count the change at all.

-- 

Dave Seaman
..!pur-ee!pucc-i:ags

"Against people who give vent to their loquacity 
by extraneous bombastic circumlocution."