Problems with cheap hotels...
Oct 5th 2011, 7:14 am
#1
Hit 16's
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Location: Of all the gin joints, in all the towns, in all the world, she walks into mine
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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?
Oct 5th 2011, 7:28 am
#2
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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.
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?
Oct 5th 2011, 7:36 am
#3
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Joined: Jun 2010
Location: UK
Posts: 1,308
Re: Problems with cheap hotels...
Talking of cheap.....anyone know when the Cellar Bar at HoJo's opens up again?
Oct 5th 2011, 7:54 am
#4
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Joined: Jun 2010
Location: Abu Dhabi
Posts: 1,171
Re: Problems with cheap hotels...
The men paid £27 (3x£9), of which £25 goes to the hotel and £2 to the lady. Simples.
Oct 5th 2011, 8:18 am
#5
Hit 16's
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Oct 6th 2011, 6:42 am
#6
Lost in BE Cyberspace
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Oct 6th 2011, 7:44 am
#8
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Oct 6th 2011, 8:06 am
#9
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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 £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.
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.
Oct 6th 2011, 8:14 am
#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: 13,112
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.
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....
Oct 6th 2011, 9:26 am
#11
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Posts: 2,502
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.
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.
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....
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....
Oct 6th 2011, 9:54 am
#12
Lost in BE Cyberspace
Joined: May 2009
Location: Dubai
Posts: 5,965
Re: Problems with cheap hotels...
my head now hurts
Oct 6th 2011, 10:36 am
#13
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Joined: Aug 2009
Location: Disneyland, Dubai
Posts: 15,887
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.
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.
Oct 6th 2011, 10:42 am
#14
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Joined: Dec 2009
Posts: 4,641
Re: Problems with cheap hotels...
This is what happens when you pay with fiat money, your wealth mysteriously and unexplainably loses value.