View Full Version : Missing dollar!

Tom Anderson

01-03-2010, 07:26 PM

See if you can figure this one out...

Three salesmen go to a hotel. The room rate is $30, and they each pay $10. Later that night the desk clerk realizes that the room is only $25 so he gives $5 to the bellboy to split among the 3 guys. The bellboy did not know how to split the $5 among the 3 men so he kept $2 for himself and gave $1 each to each man.

So… with the refund, each salesman paid $9 for a total of $27, the bellboy kept $2. This adds up to $29. Where is the missing dollar?

Les George

01-03-2010, 07:34 PM

the government taxed it :p

Denny Eller

01-03-2010, 07:35 PM

Indian George took it.

Frstr8

01-03-2010, 08:22 PM

$25 for the room + $3 back to the guys + $2 to the kid = $30

Mike Jones

01-03-2010, 08:25 PM

10+10+10=30 (Initial Payment)

30-5=25 (refund of $5)

25+2=27 (bellboy keeping $2)

27/3=9 (amount paid by each person)

The dollar was lost in the order of operations.

[(10+10+10-5)+2]/3 (10 from each man, $5 refund, $2 kept by bellboy, divided by 3)

is not the same as saying

(9*3)+2 ($9 each man paid, times 3, plus the $2 the bellboy kept)

At least that's how I see it... Dunno if I'm right or not. :p

Jeff Pearce

01-03-2010, 08:31 PM

It's a scam you can't get a room for 30.00 dollars..

Terrorbl

01-03-2010, 09:17 PM

See if you can figure this one out...

Three salesmen go to a hotel. The room rate is $30, and they each pay $10. Later that night the desk clerk realizes that the room is only $25 so he gives $5 to the bellboy to split among the 3 guys. The bellboy did not know how to split the $5 among the 3 men so he kept $2 for himself and gave $1 each to each man.

So… with the refund, each salesman paid $9 for a total of $27, the bellboy kept $2. This adds up to $29. Where is the missing dollar?

The $2 the bellboy kept is part of the $27 the three men paid. You can't add it to the $27.

The men paid $27 for a $25 room (with $2 to the bellboy). 27 + 3 (refund) = 30. Or 30 - 3 (refund) = 27, 27 - 2(bellboy) = 25 (price of the room).

Or in other words So... with the refund, each salesman paid $9 for a total of $27, $2 of which went to the bellboy.

Just joined by the way, took me a few minutes, couldn't walk past this one till I figured it out.

T

JAWilliams

01-03-2010, 09:44 PM

It's a scam you can't get a room for 30.00 dollars..

Sure you can if you are renting by the hour on sunset bld.

Or in other words So... with the refund, each salesman paid $9 for a total of $27, $2 of which went to the bellboy.

I don't think you're following it right. :D

Each salesman paid $9

Total is $27

Bellboy has $2

The salesmen initially paid $10 each, $30 total.

Where's the last dolar gone?

RAGUEL3

01-04-2010, 02:37 AM

There is no reason to add the $2 and $27 – the $2 is contained within the $27 already. Thus the addition is meaningless. Instead the $2 should be subtracted from the $27 to get the revised bill of $25.

This becomes clearer when the initial and net payments are written as simple equations. The first equation shows what happened to the initial payment of $30:

$30 (initial payment) = $25 (to clerk) + $2 (to bellhop) +$3 (refund)

The second equation shows the net payment after the refund is applied (subtracted from both sides):

$27 (net payment) = $25 (to clerk) + $2 (to bellhop)

Both equations make sense, with equal totals on either side of the equal sign. The correct way to get the bellhop's $2 and the guests $27 on the same side of the equal sign ("The bellhop has $2, and the guests paid $27, how does that add up?") is to subtract, not add:

$27 (final payment) - $2 (to bellhop) = $25 (to clerk)

Somebody in that room needs to go ask the desk clerk whats up,.. then go find and kick the bellhops a** :)

Indian George

01-04-2010, 05:11 AM

Indian George took it.

I sure did and I am not giving it back. HEHEHEHE!!!:D

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