Board logo

Maths #2
BenB - 18/11/06 at 11:18 PM

Explain this one.....

Three blokes go to a hotel to share a room. The manager says it will cost £30 so they each pay £10.
When they get to the room the manager realizes he's made a mistake and the room is £25.
He sends the £5 with the bellboy.
The men are keen to split the change equally so each take a pound and give the bellboy a £2 tip.
Each man paid £10 and got £1 back, so they've paid £9 each.
3 people @ £9 = £27.
Add the £2 tip.... £27+2=£29...

Where's the £1 gone?.........

It's a tricky one.....


JoelP - 18/11/06 at 11:19 PM

quote:
Originally posted by BenB
Each man paid £10 and got £1 back, so they've paid £9 each.
3 people @ £9 = £27.
Add the £2 tip.... £27+2=£29...



easy, they paid £27, of which £2 went to the bellboy and £25 to the hotel. £30 never came into it!


DIY Si - 18/11/06 at 11:21 PM

What he ^^ said. You just need to be able to add it up right in the first place!


Chippy - 18/11/06 at 11:58 PM

Correct answer is they didn't pay £9 each, they paid £9.33.3333333r, and three times that equals £28, add the £2 tip, and heh! presto, theres your £30. So gentlemen^^^ you are incorrect. Ray.


DIY Si - 19/11/06 at 12:03 AM

Must be scotsmen to cut a penny into 3!


richardR1 - 19/11/06 at 02:10 AM

quote:
Originally posted by Chippy
Correct answer is they didn't pay £9 each, they paid £9.33.3333333r, and three times that equals £28, add the £2 tip, and heh! presto, theres your £30. So gentlemen^^^ you are incorrect. Ray.

They did pay £9 each - of that £8.33.3333333r went to the hotel and £0.66.6666666r went to the bellboy.


BenB - 19/11/06 at 01:50 PM

Well done. Tis the correct answer....
They paid 25/3+2/3 each = 9. IE the £9 included the tip....
So the only maths is

(25/3+2/3+3/3)*3=30

Still confuses a hell of a lot of people....


Liam - 19/11/06 at 03:39 PM

quote:
Originally posted by BenB
Well done. Tis the correct answer....
They paid 25/3+2/3 each = 9. IE the £9 included the tip....
So the only maths is

(25/3+2/3+3/3)*3=30

Still confuses a hell of a lot of people....


No tricky maths required. The confusion comes from the loaded question "where's the £1 gone?" which tricks you into thinking that what the three guys paid plus the tip ought to add up to £30, so you start looking at the maths puzzled. In fact that calculation is just a meaningless statistic - as joelp says the 30 doesn't come into it.

Look at another example - what if the room went down to £20 and the bellboy came back with a tenner. Each bloke takes £3 (so has spent 7) and the bellboy gets a £1 tip. So 3 x 7 = 21, plus the tip = 22. So where has the £8 gone? Answer - what £8? Why should this calc add up to £30?

Liam


Mansfield - 19/11/06 at 10:24 PM

To take Liam and Joel's point futher:

Explain this one.....

Three blokes go to a hotel to share a room. The manager says it will cost £30 so they each pay £10.
When they get to the room the manager realizes he's made a mistake and the room is £0.
He sends the £30 with the bellboy.
The men are delighted with this and each give the bellboy a £1 tip.
Each man paid £10 and got £9 back, so they've paid £1 each.
3 people @ £1 = £3.
Add the £3 tip.... £3+3=£6...

Where's the £24 gone?.........

It's a tricky one.....but I am a bit drunk!

[Edited on 19/11/06 by Mansfield]


Mansfield - 19/11/06 at 10:31 PM

Thinking about it, for £30 (or £25) a night wouldn't you rather have your own room.

Unless you were gay of course.

Gives a whole new meaning to 'bellboy' and 'receiving a tip'.

Wha sort of establishment was the hotellier running?


JoelP - 19/11/06 at 10:33 PM

That above, by mansfield, is actually an example (in a way) of what einstein used to do. he called them thought experiments, whereby you could test a theory without actually doing it. By taking a situation to an exteme, it can make it completely obvious what the answer is.