Got a problem that will stump you

Discussion in 'Community Discussion' started by Fearless Leader, Feb 23, 2007.

Joined:
Mar 21, 2006
Location:
Hoosiertown
#1
Three girls go to Florida and stay at a Hotel. The Night manager checks them in and charges them \$30 for the room, which they share. The girls split the cost and paid \$10 each. When the Day manager comes to the hotel in the morning he realizes that he didn't tell the night manager about the special and rooms only cost \$25. The day manager give a bell hop five ones to pay back the girls. He decides to himself I cant give 5 ones to three girls I'll take two so nobody gets left out. Add up the amounts, do you notice something wrong?

2. BoyBach macrumors 68040

Joined:
Feb 24, 2006
Location:
UK
#2

Er, no.

(I'll show my stupidity first!)

...

EDIT: After re-reading the story, I'd sack the thieving Bell Boy.

3. mischief macrumors 68030

Joined:
Aug 1, 2001
Location:
Santa Cruz Ca
#3
28 isn't divisible by 3.

27 is, as is 24.

25/3= 8.333333333333... (nonrational)

Therefore someone will have to be shortchanged by at least .3 cents and no simple matter of pulling out two bucks will make up the difference. See also petty larceny on a documented transaction is just plain stupid.

4. swiftaw macrumors 603

Joined:
Jan 31, 2005
Location:
Omaha, NE, USA
#4
No, everythings fine. You only get something weird if you add up the wrong amounts.

Girls paid \$30 - \$3 = \$27

Hotel Got \$30 - \$5 = \$25
Day Manager got \$2
\$25+\$2 = \$27

5. Jaffa Cake macrumors Core

Joined:
Aug 1, 2004
Location:
The City of Culture, Englandshire
#5
Adding it up, it appears each girl paid \$9 and the bellboy got \$2 – so that's \$29 – so where did the missing Dollar go?

The answer is, it didn't go anywhere.

You don't add the \$2 to the \$27 the girls paid, because \$2 is already included in that \$27.

The actual sum is the \$27 they paid plus the \$3 they got back, which totals up to the original \$30.

Joined:
Mar 21, 2006
Location:
Hoosiertown
#6
very good jaffa.
edit: I like swiftaw's way explaining it alot. This stumped somebody I knew and I couldn't figure out how to explain it to them. And the person who asked me it could have wrote it alot better.

7. mkrishnan Moderator emeritus

Joined:
Jan 9, 2004
Location:
Grand Rapids, MI, USA
#7
I don't think you delivered it correctly, though, Rokem.

8. kentrox99 macrumors member

Joined:
Jul 26, 2006
Location:
Atlanta, GA
#8
doesnt he owe them \$1.67 each? he seems to just be keeping the change

Joined:
Mar 21, 2006
Location:
Hoosiertown
#9
this whole talking/writing thing is kinda hard.

10. nitynate macrumors 6502a

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Clearwater, FL
11. mkrishnan Moderator emeritus

Joined:
Jan 9, 2004
Location:
Grand Rapids, MI, USA
#11
Yes, it always is.

12. Abstract macrumors Penryn

Joined:
Dec 27, 2002
Location:
Location Location Location
#12
Haha, no he didn't.

13. 4JNA macrumors 68000

Joined:
Feb 8, 2006
Location:
looking for trash files
#13
wait, jesus ripped of the girls? i thought it was the bellboy.

god i hate word problems.

14. zflauaus macrumors 65816

Joined:
Nov 19, 2004
#14

Where the hell in Florida can you find a room for \$30/night? Or anywhere for that matter?

Joined:
Mar 21, 2006
Location:
Hoosiertown
#15
leave it up to the MR folks to weird an answer up (yes weird is a verb).

16. mkrishnan Moderator emeritus

Joined:
Jan 9, 2004
Location:
Grand Rapids, MI, USA
#16
Interstate motel, baby. That lovely couple from Gujarat will take care of you no problem, thank you come again.

17. MalcolmJID macrumors 6502a

Joined:
Nov 1, 2005
Location:
England
#17
I don't see any error at all when giving them money back.....

They pay 30. Only should be 25. So the manager gives 5 back, two to the bell boy and one each to the girl..

18. mkrishnan Moderator emeritus

Joined:
Jan 9, 2004
Location:
Grand Rapids, MI, USA
#18
That was why I commented on the delivery of the question. It's supposed to go like this:

Three women stay at a hotel and pay \$30 for the room. Each pays \$10. In the morning, the manager determines that they were overcharged and should have been charged only \$25. So she gives a clerk \$5 to return to the women. Since the clerk cannot divide \$5 three ways evenly, he decides to give each woman \$1 and keep \$2 himself. So each woman has paid \$9, for a total of \$27. Adding in the \$2 the clerk kept, this still only comes to \$29. Where did the other \$1 go?

And the trick involved is that it sounds logical, but the \$2 from the clerk is being accounted for on the wrong side of the balance sheet -- it's not \$27+2 ? 30. It's \$27 = \$25 (in manager's hand) + \$2 (in clerk's hand).

Joined:
Mar 21, 2006
Location:
Hoosiertown
#19
^^ I'm just going to talk to you before I post anything longer than 2 sentences.

20. angelneo macrumors 68000

Joined:
Jun 13, 2004
Location:
afk
#20
This reminds me of the problem about the old man with 39 sheeps and 4 sons which I think has been posted before.

There's a room with 3 lamps, no windows and a door. Outside the room are 3 unmarked switches which control the 3 lamps. If anyone is to flip the switches, they will not be able to see into the room (and no light can come out of the room). How are you able to tell which switch controls which lamp by just going into the room once and once only.

21. RedTomato macrumors 68040

Joined:
Mar 4, 2005
Location:
.. London ..
#21
And I grew up in Penzance, which is just the next town over from St Ives.

Confused?

22. SMM macrumors 65816

Joined:
Sep 22, 2006
Location:
Tiger Mountain - WA State
#22
Just you. St Ives, Penzance and Cornwall (in general) are some of my favorite places in the world. I absolutely love it there. I can hardly wait to get back.

Joined:
Jan 14, 2007
24. mkrishnan Moderator emeritus

Joined:
Jan 9, 2004
Location:
Grand Rapids, MI, USA
#24
Is the acceptable answer still one of the following form: Turn one switch on and wait some time (half hour or whatever). Turn off the first switch, and then turn on another switch. Leave the third switch as is. Now go in. The hot but off bulb matches the first switch; the on bulb the second, and the cold off bulb the third.

25. angelneo macrumors 68000

Joined:
Jun 13, 2004
Location:
afk
#25
Yup, easy if one thinks about more than what a light bulb do.