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Old 03-09-2008, 18:56   #1
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Where is the dollar?

This will Mess With Your Head.

3 MEN GO INTO A MOTEL.
THE MAN BEHIND THE DESK SAID THE ROOM IS $30,
SO EACH MAN PAID $10 AND WENT TO THE ROOM.

A WHILE LATER THE MAN BEHIND THE DESK REALIZED
THE ROOM WAS ONLY $25, SO HE
SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5.

ON THE WAY, THE BELLBOY COULDN'T FIGURE OUT
HOW TO SPLIT $5 EVENLY BETWEEN 3 MEN,
SO HE GAVE EACH MAN A $1 AND
KEPT THE OTHER $2 FOR HIMSELF.


THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE
ROOM, WHICH IS A TOTAL OF $ 27,
ADD THE $2 THAT THE BELLBOY KEPT = $ 29.

WHERE IS THE OTHER DOLLAR?
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Old 03-09-2008, 19:27   #2
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Threre ain't no other dollar!
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Old 03-09-2008, 19:46   #3
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Quote:
Originally Posted by tyrntlzrdking View Post

THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE
ROOM, WHICH IS A TOTAL OF $ 27,
ADD THE $2 THAT THE BELLBOY KEPT = $ 29.
That's a nice one but...

They paid $27 dollars for a $25 room. There's only 2 bucks left. It's in the bellboy's pocket.

BTW - Where can I get a $25 room?
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Old 03-09-2008, 19:54   #4
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Tyrant,

You're right, it did mess with my head, but I think I got it. You don't add the $2 the bellboy kept, you subtract it. Good one!

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Old 03-09-2008, 20:34   #5
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Originally Posted by Ex-Calif View Post
That's a nice one but...

They paid $27 dollars for a $25 room. There's only 2 bucks left. It's in the bellboy's pocket
I still dont understand. They ended up paying $27.00 total for the room, and the bellboy ended up with $2.00. That is $29.00.
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Old 03-09-2008, 20:43   #6
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Quote:
Originally Posted by tyrntlzrdking View Post
I still dont understand. They ended up paying $27.00 total for the room, and the bellboy ended up with $2.00. That is $29.00.
Try it this way:

$30 - (What they paid)
$ 3 (change they received)
---
$27 - (what they paid)
$25 (price of room)
----
$ 2 (change they didn't get)
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Old 03-09-2008, 21:02   #7
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Quote:
Originally Posted by Ex-Calif View Post
Try it this way:

$30 - (What they paid)
$ 3 (change they received)
---
$27 - (what they paid)
$25 (price of room)
----
$ 2 (change they didn't get)
Yes, this looks good, BUT if they paid $30. and got a refund of $3.00 then we agree they paid $27.00.
The bellboy ended up with $2.00.
His $2.00 plus the $27.00 they paid still equals $29.00.
Forget the actual price of the room.
Where did the extra $ go?
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Old 03-09-2008, 21:34   #8
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Originally Posted by mikereed100 View Post
Tyrant,

You're right, it did mess with my head, but I think I got it. You don't add the $2 the bellboy kept, you subtract it. Good one!
Mike
Why should I subtract the bellboys $2.00 from the total?
If the final total was the $27.00 the three men paid plus the $2.00 the bellboy kept, that equals $29.00.
I still do not see where the extra $ went.
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Old 03-09-2008, 21:46   #9
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Quote:
Originally Posted by tyrntlzrdking View Post
Yes, this looks good, BUT if they paid $30. and got a refund of $3.00 then we agree they paid $27.00.
The bellboy ended up with $2.00.
His $2.00 plus the $27.00 they paid still equals $29.00.
Forget the actual price of the room.
Where did the extra $ go?
Are you being serious? If so, try it this way.

$30 What they paid
$25 Cost of room
----
$ 5 What the clerk gave the bell boy
$ 3 What the clerk gave the guests
-----
$ 2 What the clerk put in his pocket

or

$27 What they paid
$25 Cost of room
-----
$ 2 What the clerk pocketed


You can subtact the $3 from $30 because that is change. You must also subtract $2 from $30 because it is also change. $3 + $2 = $5. $30 - $5 = $25

You can also look at it as distribution of the original $30

$25 The clerk has it
$ 3 The guests have it
$ 2 The bellboy has it

"THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE
ROOM, WHICH IS A TOTAL OF $ 27,
ADD THE $2 THAT THE BELLBOY KEPT = $ 29"

This is the key - the men paid 27 dollars - Of which $25 went for the room and 2 dollars went in the bellboys pocket.
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Old 03-09-2008, 22:06   #10
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Quote:
Originally Posted by Ex-Calif View Post
Are you being serious?

"THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE
ROOM, WHICH IS A TOTAL OF $ 27,
ADD THE $2 THAT THE BELLBOY KEPT = $ 29"

This is the key - the men paid 27 dollars - Of which $25 went for the room and 2 dollars went in the bellboys pocket.
Yes. I am serious.
WHERE IS THE OTHER DOLLAR?
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Old 03-09-2008, 22:55   #11
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Quote:
Originally Posted by tyrntlzrdking View Post
Yes. I am serious.
WHERE IS THE OTHER DOLLAR?
I guess I am out of explanations except for this - Pierre Mundo had the answer. There is no other dollar.

Let's try it this way...

The guests gave the clerk $30

The clerk applied $25 to the price of the room. The bellboy stole $2.

Where is the other $3?

BTW - It may help if you look at who has what:

Clerk = $25
Bellboy = $2
Guests = $3

You can use the numbers in the above list in any way you want starting from $30 or 0$. But you can't use any twice. No one has $27 - therefore $27 has to be a sum. the only numbers that equal $27 are 25+2. The only number left is 3.

BTW - Would you like to go into a partnership on a boat with me ;-)
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Old 03-09-2008, 23:19   #12
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I an an idiot again.
There is no other dollar.
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Old 03-09-2008, 23:29   #13
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Actually - my 5 (or whatever) posts are all wrong - literally.

The question is not "What is the sum?"

The question is, "Where is the other dollar?"

Literally speaking, the only correct answer is, "There is no other dollar."
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Old 04-09-2008, 00:29   #14
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Why do people assume they paid an even $9
There is no other dollar because they originally paid 30 then it was reduced to 28 because the bellboy kept 2, this means they paid 9.33 dollars each not 9.

Edit correction just got it Mikes correct.

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Old 04-09-2008, 05:10   #15
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How about this way.....

Effectively they paid $27. Of that amount, the bellboy stole $2 and that leaves the correct amount of $25 with the clerk.
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