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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 realised that the room was only $25, so he sent the bellboy to the 3 guys room with the $5. On the way the bellboy couldnt figure out how to split the $5 evenly between the 3 men, so he gave each man $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?

2006-09-06 04:36:13 · 19 answers · asked by south_coast_fireman 1 in Science & Mathematics Mathematics

19 answers

3 men paid 10 = 30

take away 5 for refund = 25 for room

each man gets back 1 = 3 refund

and 2 for tip

25 + 3 + 2 = 30

2006-09-06 04:39:36 · answer #1 · answered by jimvalentinojr 6 · 2 0

There is no extra dollar.

The man behind the desk kept $25 (the true cost of the room) and the bellboy gave the three men $3 and kept $2. That adds up to $30.

Because the bellboy kept $2 the room ended up costing the men $27 (the real cost of the room - $25 and the $2 the crooked little bellboy kept). The bellboy gave them back $3. There is no extra dollar.

2006-09-06 11:50:08 · answer #2 · answered by profoundatheist 2 · 0 0

This is a famous conundrum, and it's a false question. The bad part of the whole thing is adding the $2 the bellboy has to the $27. Since the $2 is part of the $27 out-of-pocket for the trio, it's being double-counted.

You can track the money a couple of ways. One is to consider the flow of the actual $30. At the end of the story, $25 is in the till, $3 has been refunded, and $2 is with the bellhop.

Since this false reasoning is hard to articulate, this problem often leaves the questioned scratching their heads, recognizing that something is amiss, but being incapable of pinpointing it.

2006-09-06 11:41:26 · answer #3 · answered by rorgg 3 · 3 0

The biggest mistake people make is when they set up the equation they write it as

(9*3)+2=30 wrong

They do this because the last sentence makes it sound like this is they way to do the equation However since there is five dollars given back the answer no longer can equal 30 it has to equal 25.

(9*3)+2=25 wrong

The second mistake people make is they think that the two dollars the bellmen kept should be added when in fact it needs to be subtracted.

(9*3)-2=25 rite

So the question is made to trick you by making you think that the answer must equal 30 but since 5 dollars is being given back the equation must equal 25.

2006-09-06 12:17:03 · answer #4 · answered by Erik B 2 · 0 0

Cute problem, but there is no other dollar. The $2 the bellboy kept is the difference between what they paid, $27, and what they owed, $25.

2006-09-06 11:43:05 · answer #5 · answered by Dave 4 · 0 0

The total money the guys spent is $27 not $30,
so correct equation is

Correct $27 = $2 for bell boy + $25 for Hotel Room.
Incorrect $30 = $2 + $27 + missing $1

2006-09-06 12:09:46 · answer #6 · answered by mathviz 1 · 0 0

What you're doing is messing with the properties of mathematics. The bottom line is the manager has $25, the men have $1 each, and the bellhop has a $2 tip.
25 + 3 + 2 = 30

2006-09-06 11:48:01 · answer #7 · answered by Anonymous · 0 0

The men really only paid $7.13 each for the room. If you take the $30 and subtract the $5, you have $25. Then take the $25 and divide it by the 3 men, you get $7.13, so then men actually got the room for less than $9.

2006-09-06 11:46:07 · answer #8 · answered by CJ 1 · 0 0

the men paid $28 total plus $2 to the bellboy.

2006-09-06 11:45:44 · answer #9 · answered by debop44 3 · 0 1

actually, its just the play of words.
3 men paid $9 each.
9 x 3=27.
rent is $25. plus two went to the bellboy.
therefore, 25+2=27.
$3 were returned to them.
GOTCHA!

2006-09-06 12:32:33 · answer #10 · answered by ? 4 · 0 0

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