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Topic: Re: The missing dollar problem
Replies: 8   Last Post: Apr 20, 1995 1:21 AM

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David Nelson Leom

Posts: 9
Registered: 12/6/04
Re: The missing dollar problem
Posted: Mar 13, 1995 9:28 PM
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Someone before inquired about the solution to this problem. It
seems to me that if the clerk overcharged the friends by five dollars,
the origional price of the room would then be $25. But the friends
"gave" the son a two dollar tip. Thus the $27 for the room they paid.
I'm not sure if you were the one that posted the question, but
I'm thinking this may be the solution. My $0.02 worth.
Dave Leom
On Mon, 13 Mar 1995, Ronald A Ward wrote:

> Here is a version of the problem as stated in "Mathematics for Elementary
> Teachers," by Musser and Burger [an excellent source of interesting
> problems, by the way]:
> "Three business women traveling together stopped at a motel to get
> a room for the night. They were charged $30 for the room and agreed to
> split the cost equally. The manager later realized that he had
> overcharged them by $5. He gave the refund to his son to deliver to the
> women. This smart son, realizing it would be difficult to split $5
> equally, gave the women $3 and kept $2 for himself. Thus it cost each
> woman $9 for the room. Therefore, they spent $27 for the room plus the
> $2 'tip.' What happened to the other dollar?"
> Those of us going to the Boston meetings would love to find this
> cheap motel!!
> Ron Ward/Western Washington U/Bellingham, WA 98225
> On Mon, 13 Mar 1995 wrote:

> > Hi,
> >
> > I am looking for The Missing Dollar Problem. I have a group of kids that
> > will find this one "interesting". I have searched high and low around this
> > house, and the problem is no where to be found. I am hoping that someone on
> > list will have it and post it.
> >
> > I am not sure exactly how it goes, but The Missing Dollar Problem is
> > unsolvable. It starts out describing a man who is paying his hotel bill. He
> > has $30 and the bill is $27. He tips the bellboy, and somehow gets some
> > change. When it is all done, he is short a dollar.
> >
> > Does anyone have a copy of the problem?
> >
> >
> > Thanks!!!!!! Diane McElwain
> >


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