

06012011, 07:17 PM

#1

..m.0,0.m.. Site Team
Join Date: May 2010
Location: USA
Posts: 3,913

A math problem...sorta  and no this ain't another math thread...sorta
Three guys walk into a hotel after a long day. When they approached the clerk, they were told that there was only a single room left and the cost was $30. So, each guy pitches in $10 and heads up to the room. Now, after they leave the counter, the clerk realizes that the room was only $25 and sends for the bell boy to give them their money back.
On his way to their room, he contemplates how he's going to give three people $5. Instead of giving them the full $5, he decides to give each guy $1 and pocket the remaining $2.
Now that each party member received $1 back, they each essentially paid $9. Now if you multiply 9 by 3 you get $27, plus to the $2 that the bellhop has and that makes $29.
Where's the other dollar?
Now, I've posed this question to many a smart man, and I've heard a few solutions which I'm curious about. The most obvious answer is that it's only the way it's worded makes it seem like the math is imperfect. However, I also heard from my highschool math teacher, when asked this question, that this just proves how imperfect of a science math is. I'm not so inclined to believe that one though.
Thoughts?
__________________
__________________
Me: You'd think as the dominant species we wouldn't be so effing stupid.
J: We're just intelligent enough to be completely effing stupid.



06012011, 07:53 PM

#2

Daemon Poster
Join Date: Oct 2010
Posts: 624

Re: A math problem...sorta  and no this ain't another math thread...sorta
a loophole, I'm sure, our governments are well aware of.
on a larger scale..
__________________
__________________
Asus M4A88TM/USB3<>PhenomII X4 965e<>Asus ENGTX460
Seagate 320GB/1TB<>Win7 Ulti 64Bit<>Antec900
SyncMaster 2220WM<>HyperX 16gb<>Cooler Master 600W



06012011, 08:22 PM

#3

Golden Master
Join Date: May 2006
Posts: 7,904

Re: A math problem...sorta  and no this ain't another math thread...sorta
What? No, they spent $27. The room cost $25. The other $2 went to the bellboy. You can't add the two to the $27, lol. They spent $30, got $3 back. They spent $27 overall. And $2 went to the bellboy.
__________________
“Adults are just obsolete children and the hell with them.”  Dr. Suess



06012011, 08:45 PM

#4

Site Team
Join Date: Sep 2007
Posts: 3,607

Re: A math problem...sorta  and no this ain't another math thread...sorta
Of course it is the way it's worded.
__________________
JogaBonito1502: I guess Microsoft is really not to blame. Sorry!
KMATB



06012011, 10:55 PM

#5

Guru
Join Date: Jan 2008
Location: U.S.
Posts: 7,841

Re: A math problem...sorta  and no this ain't another math thread...sorta
You have to look at it as a system. The wording of the problem redefines the system halfway through the problem statement, taking the hotel out of the equation and leaving just the bell boy and the 3 men. Look at this this way:
The balances are the following:
Hotel: $0
Bell Boy: $0
3 Men: $30
After the pay the clerk:
Hotel: $30
Bell Boy: $0
3 Men: $0
After the clerk gives the boy money:
Hotel: $25
Bell Boy: $5
3 Men: $0
After the boy gives the men their dollar:
Hotel: $25
Bell Boy: $2
3 Men: $3
The wording redefines the system when you don't consider the bell boy as part of the payment for the room. It is as Superman says.
edit: This is analogous to internal forces. The values of internal forces of an arbitrary body at rest or at constant speed may change depending on the conditions, but the body is not accelerating. The overall balance of the system above does not change, just the location of the money.
__________________



06012011, 11:13 PM

#6

Baseband Member
Join Date: Jul 2008
Posts: 45

Re: A math problem...sorta  and no this ain't another math thread...sorta
They paid $30  it was only $25 so each man got $1 back which equals $28 dollars in total (25 + 1[3]). Plus the bellboy's $2 that equals $30.
I'm drunk, though...
__________________
š_š



06012011, 11:15 PM

#7

..m.0,0.m.. Site Team
Join Date: May 2010
Location: USA
Posts: 3,913

Re: A math problem...sorta  and no this ain't another math thread...sorta
Don't get me wrong, I understand that it's a play on words, I guess Joga really puts it into perspective though.
__________________
Me: You'd think as the dominant species we wouldn't be so effing stupid.
J: We're just intelligent enough to be completely effing stupid.



06022011, 05:29 AM

#8

Golden Master
Join Date: May 2006
Posts: 7,904

Re: A math problem...sorta  and no this ain't another math thread...sorta
Quote:
Originally Posted by Siriann
They paid $30  it was only $25 so each man got $1 back which equals $28 dollars in total (25 + 1[3]). Plus the bellboy's $2 that equals $30.
I'm drunk, though...

lmfao, on a wednesday?
Quote:
Originally Posted by iPwn
Don't get me wrong, I understand that it's a play on words, I guess Joga really puts it into perspective though.

It's more just adding when you are supposed to subtract...
__________________
“Adults are just obsolete children and the hell with them.”  Dr. Suess



06022011, 05:41 AM

#9

..m.0,0.m.. Site Team
Join Date: May 2010
Location: USA
Posts: 3,913

Re: A math problem...sorta  and no this ain't another math thread...sorta
Well now let's go the other way with it. Each man literally paid $9 right? 9x3 = 27, plus the $3 from the men equals thirty, now you have the two that the bellhop took coming up as surplus...
__________________
Me: You'd think as the dominant species we wouldn't be so effing stupid.
J: We're just intelligent enough to be completely effing stupid.



06022011, 06:15 AM

#10

In Runtime
Join Date: Jan 2010
Posts: 320

Re: A math problem...sorta  and no this ain't another math thread...sorta
I understand this, from both sides, after 10 mins of thinking. Hope this helps!
The problem side:
The got $1 back each, so they paid $9 each. 9 x 3 = $27. $2 for the boy, Wheres the other $1 ?!?
Solution side. Room was $25. They paid $30. They all got $1 back, so $28 was paid, and the boy had $2. = $30. No 'spare dollar'
Solution (Explained) The only other thing people will get stuck on is this;
If they all got $1 back each, then technically, they did pay $9 each, right? , and the bell boy gets $2. (The wording that catches you out is the next bit) 'So where is the other $1' This automatically assumes you are adding another dollar to make it up to $30, and you are missing it.
You need to drill it into your head that The new room price is $25. If they all get $1 back, they are paying $27 between them, for a $25 room. In this scenario, they have overpaid by $2, in total. They dont see this because the boy has taken it as a tip. They all have their change, the boy has his tip, and the $25 room has been paid for. There is no extra dollar.
The question gets you trying to find an extra dollar, but you just need to remember the room is $25, and not $30, therefore it works out.
(I THINK that makes sense!)
__________________
__________________





Thread Tools 
Search this Thread 


Display Modes 
Linear Mode

Posting Rules

You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts
HTML code is Off




» Recent Threads 
















