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Problems with cheap hotels...

Problems with cheap hotels...

Old Oct 5th 2011, 7:14 am
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Default Problems with cheap hotels...

3 men stay at a hotel which costs £30, so they split it £10 each. But, one of the guys remembers its wednesday, so its £5 off making it £25 for the room. So the receptionist brings up the £5 that is owed to the 3 guys. So each guy takes back a pound each and then gives the rest (£2) to the lady. so this means that they have paid £9 each for the room (9x3=£27) plus the £2 they gave to the woman is £29. Where has that £1 gone?
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Old Oct 5th 2011, 7:28 am
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Default Re: Problems with cheap hotels...

Be careful. You'll hurt a few pretty brains today.

The men didn't pay £9 each for the room. They paid £9.333 each. Multiply that by three and add £2 gives you £30.







Originally Posted by Bahtatboy View Post
3 men stay at a hotel which costs £30, so they split it £10 each. But, one of the guys remembers its wednesday, so its £5 off making it £25 for the room. So the receptionist brings up the £5 that is owed to the 3 guys. So each guy takes back a pound each and then gives the rest (£2) to the lady. so this means that they have paid £9 each for the room (9x3=£27) plus the £2 they gave to the woman is £29. Where has that £1 gone?
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Old Oct 5th 2011, 7:36 am
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Default Re: Problems with cheap hotels...

Talking of cheap.....anyone know when the Cellar Bar at HoJo's opens up again?
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Old Oct 5th 2011, 7:54 am
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Default Re: Problems with cheap hotels...

The men paid £27 (3x£9), of which £25 goes to the hotel and £2 to the lady. Simples.
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Old Oct 5th 2011, 8:18 am
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Default Re: Problems with cheap hotels...

Originally Posted by Oyibopeppeh View Post
Talking of cheap.....anyone know when the Cellar Bar at HoJo's opens up again?
Already open as of last weekend. Haven't been, but apparently much improved.
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Old Oct 6th 2011, 6:42 am
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Default Re: Problems with cheap hotels...

Originally Posted by Ethos83 View Post
Be careful. You'll hurt a few pretty brains today.

The men didn't pay £9 each for the room. They paid £9.333 each. Multiply that by three and add £2 gives you £30.
you dunce. go and stand in the corner.
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Old Oct 6th 2011, 7:25 am
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Default Re: Problems with cheap hotels...

You wish to argue to the contrary, Mr Oxbridge?

Originally Posted by Millhouse View Post
you dunce. go and stand in the corner.

Last edited by Ethos83; Oct 6th 2011 at 7:28 am.
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Old Oct 6th 2011, 7:44 am
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Default Re: Problems with cheap hotels...

Originally Posted by Ethos83 View Post
You wish to argue to the contrary, Mr Oxbridge?
yes.

If they all paid 9.333 each - where is the change?
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Old Oct 6th 2011, 8:06 am
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Default Re: Problems with cheap hotels...

Sorry Mr Oxbridge. Meant to say that each man's share of the £30 was actually £9.33 which accounts for the 'missing' £1.

For those who don't follow:

1. Each men contributed £10.

2. The hotel returned £5, which reduced the bill to £25.

3. Each man's share of £25 is now £8.33.

4. Out of the £5 the men gave £2 as a tip.

5. Each man kept £1.

5. £8.33 x 3 + £3 + £2 = £30.

No money disappeared. The fractions changed. The riddle contained a falsehood - that each man paid £9, which isn't true.
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Old Oct 6th 2011, 8:14 am
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Default Re: Problems with cheap hotels...

Originally Posted by Ethos83 View Post
Sorry Mr Oxbridge. Meant to say that each man's share of the £30 was actually £9.33 which accounts for the 'missing' £1.

For those who don't follow:

1. Each men contributed £10.

2. The hotel returned £5, which reduced the bill to £25.

3. Each man's share of £25 is now £8.33.

4. Out of the £5 the men gave £2 as a tip.

5. Each man kept £1.

5. £8.33 x 3 + £3 + £2 = £30.

No money disappeared. The fractions changed. The riddle contained a falsehood - that each man paid £9, which isn't true.
Yeah but, no but, yeah but...

The riddle contained a falsehood - that each man paid £9, which isn't true.

Each man handed over £10, got £1 back, so paid £9, and then donated £2 between them (so £2/3) as a tip:

£10-1 = £9
3 x £9 = £27
3 x £2/3 = £2
£27 + £2 = £29

Aaaagghhhhhhh....
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Old Oct 6th 2011, 9:26 am
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Default Re: Problems with cheap hotels...

Look at it this way:

Three men did not get £1 each back. Three men got £5 back. 5/3 = £1.66

The revised bill meant each man paid £10 - £1.66 = £8.33 for the room.

They chose to give a tip of £2 to the receptionist. Each man's share of the tip is 66p.

That brings the total cost of each man's share of the room and tip to £8.33 + 66p = £9.

£9 x 3 = £27.

So out of the initial £30, the men spent £27, which left £1 change per man.

'this means that they have paid £9 each for the room (9x3=£27) plus the £2 they gave to the woman' is a false statement.

Originally Posted by Bahtatboy View Post
Yeah but, no but, yeah but...

The riddle contained a falsehood - that each man paid £9, which isn't true.

Each man handed over £10, got £1 back, so paid £9, and then donated £2 between them (so £2/3) as a tip:

£10-1 = £9
3 x £9 = £27
3 x £2/3 = £2
£27 + £2 = £29

Aaaagghhhhhhh....
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Old Oct 6th 2011, 9:54 am
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Default Re: Problems with cheap hotels...

my head now hurts
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Old Oct 6th 2011, 10:36 am
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Default Re: Problems with cheap hotels...

Originally Posted by Ethos83 View Post
Look at it this way:

Three men did not get £1 each back. Three men got £5 back. 5/3 = £1.66

The revised bill meant each man paid £10 - £1.66 = £8.33 for the room.

They chose to give a tip of £2 to the receptionist. Each man's share of the tip is 66p.

That brings the total cost of each man's share of the room and tip to £8.33 + 66p = £9.

£9 x 3 = £27.

So out of the initial £30, the men spent £27, which left £1 change per man.

'this means that they have paid £9 each for the room (9x3=£27) plus the £2 they gave to the woman' is a false statement.
I salute you for your ability to make a simple answer so complicated.
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Old Oct 6th 2011, 10:42 am
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Default Re: Problems with cheap hotels...

This is what happens when you pay with fiat money, your wealth mysteriously and unexplainably loses value.
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Old Oct 6th 2011, 10:56 am
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Default Re: Problems with cheap hotels...

Yeah, well, I get paid to hunt down missing money.

Minor directors in satellite offices now cower when my email arrives in their inbox.

Originally Posted by Millhouse View Post
I salute you for your ability to make a simple answer so complicated.
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