Mathematical Puzzle

Soldato
Joined
18 Oct 2002
Posts
4,139
Location
North Wales
Someone told me this in the pub the other day and it's a good un :)

Three blokes reserve a Hotel room for £30. They club together and each contribute a £10 note. When they get there, they pay the manager the £30 and go up to the room to unpack.

In the meantime, the manager realises he's made a mistake with the tariff, and he should have only charged them £25. Being an honest chap, he calls one of the porters, gives him five £1 coins and tells him to return this to the aforementioned gentlemen with his apologies.

As the porter's going up in the lift he wonders how he's going to divide the £5 three ways, so being a dishonest chap (and a bad mathematician) he decides to keep some for himself.

He goes to the room, says there's been a mistake, gives each of the three men a £1 coin each, pockets the remaning two £1 coins out of the five the manager gave him and leaves.

Ok, so the men each initially paid £10 each, they each got £1 back from the porter, so they ended up paying £9 each, and the porter nicked £2.

£9 x 3 = £27, add on the Porter's £2 , and that makes £29.

Where's the other £1 gone???????

:)
 
OK.

The hotel received £30.

The guys received back £3 (in total).

The porter took £2.

The hotel took their £25.

No missing pound.

taliesyn said:
Ok, so explain :)

Are you disputing that (9 x 3) + 2 = 29? :D
Of course not. I'm pointing out that your workings make no sense.
 
They initially paid £30.

The Hotel gave back £5.

The porter kept £2 of the £5

The 3 guys keep £3 of the £5.


The calculation should be (3 * 9) - 2 = 25.


The £30 is in fact split as follows: The hotel have £25 of it. The Porter has £2 of it, and the 3 guys had £3 of it BACK.
 
Abyss said:
They initially paid £30.

The Hotel gave back £5.

The porter kept £2 of the £5

The 3 guys keep £3 of the £5.
Wish I'd said that before you :(
 
Gilly said:
Of course not. I'm pointing out that your workings make no sense.

Which part makes no sense?

Did the guys not end up paying £9 each (as they got £1 back each from their tenner)

Did the porter not pocket £2 ?

Does 9 x 3 not equal £27?

It was in a pub FFS I'm not quoting from my PhD thesis :D

I know it doesn't work out, and I wasn't posting it as a peer revieved mathematical proof ;)
 
No they didnt end up paying £9 each. In the end, the hotel cost £25

25 / 3 is £8.33r

plus the £1 they got back is £9.33r x 3 is £27.9999r plus the £2 the porter chaved = £29.9999999r or £30!

Thats the more complicated way to see it!

£25 / 3 equals £9....ppfft!
 
And when they go down in the morning and order food, the 1st man orders 2 sandwiches. When the waiter returns with only one the man exclaims "But I ordered 2!", "Oh, I'm sorry sir" the waiter replies, then proceeds to cut the sandiwch in half. "There you go, enjoy your 2 sandwiches" :rolleyes:
 
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