# Problems with cheap hotels...

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**1**Hit 16's

Thread Starter

Joined: Mar 2010

Location: Of all the gin joints, in all the towns, in all the world, she walks into mine

Posts: 13,118

**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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**2**Account Closed

Joined: Oct 2008

Posts: 2,502

**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.

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?

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.

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**3****Re: Problems with cheap hotels...**

Talking of cheap.....anyone know when the Cellar Bar at HoJo's opens up again?

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**4****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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**5**Hit 16's

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Joined: Mar 2010

Location: Of all the gin joints, in all the towns, in all the world, she walks into mine

Posts: 13,118

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**9**Account Closed

Joined: Oct 2008

Posts: 2,502

**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

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.

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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**10**Hit 16's

Thread Starter

Joined: Mar 2010

Location: Of all the gin joints, in all the towns, in all the world, she walks into mine

Posts: 13,118

**Re: Problems with cheap hotels...**

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.

*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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**11**Account Closed

Joined: Oct 2008

Posts: 2,502

**Re: Problems with cheap hotels...**

Look at it this way:

Three men did not get £1 each back.

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.

'

Three men did not get £1 each back.

**Three men got £5 back**. 5/3 = £1.66The 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)*' is a false statement.**plus the £2 they gave to the woman**Yeah but, no but, yeah but...

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....

*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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**13****Re: Problems with cheap hotels...**

Look at it this way:

Three men did not get £1 each back.

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.

'

Three men did not get £1 each back.

**Three men got £5 back**. 5/3 = £1.66The 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)*' is a false statement.**plus the £2 they gave to the woman**
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**14****Re: Problems with cheap hotels...**

This is what happens when you pay with fiat money, your wealth mysteriously and unexplainably loses value.