# The Naked Scientists Forum

### Author Topic: A hotel puzzle  (Read 1791 times)

• Neilep Level Member
• Posts: 4050
• Hands-on fun for everyone!
##### A hotel puzzle
« on: 19/11/2008 22:56:59 »
Three people book in to one room in a hotel. The room costs £30 for a night so each hand over £10. When the three people settle in the hotel manager gets a phone call from head office to say all rooms now cost £25. The manager gives the bell boy £5 and says he is to give it to the three men. The bell boy is grumpy and didn't get a tip so he pockets £2 and gives the men the other 3. The three men have all paid £9 making £27 and the bell boy kept £2. This makes £29 so where did the other £1 go?

Answers on a postcard to "I am a maths genius and have a brain bigger than JimBobs bum"

#### LeeE

• Neilep Level Member
• Posts: 3382
##### A hotel puzzle
« Reply #1 on: 20/11/2008 00:40:10 »
In the end, the three men have only paid £27, not £30.  The £2 kept by the bell boy should be subtracted from the £27, not added to it.

Try it with different values:-

The room now originally costs £33, so each man pays £11.  The cost, once again, drops to £25, so the total refund due is £8.  The bell boy keeps £2 and refunds £6, thus each man has now paid £9 again, for a sum of £27, and the bell boy has still got his £2, giving us our total of £29 again, only this time we're £4 adrift instead of £1.

#### JimBob

• Global Moderator
• Neilep Level Member
• Posts: 6564
• Thanked: 7 times
• Moderator
##### A hotel puzzle
« Reply #2 on: 20/11/2008 04:14:25 »
Answers on a postcard to "I am a maths genius and have a brain bigger than JimBobs bum"

The answer would be large enough for a bill-board should MIL(f)'s Bum be used.

• Neilep Level Member
• Posts: 4050
• Hands-on fun for everyone!
##### A hotel puzzle
« Reply #3 on: 20/11/2008 18:09:49 »
This puzzle stopped my husband from falling asleep last night. He usually drifts off before me and snores so I asked him this before dropping off knowing he would have to figure it out before sleeping. I fell asleep before him for once. Tee, Hee. He solved the puzzle but didn't realise I was messing with his head!

#### The Naked Scientists Forum

##### A hotel puzzle
« Reply #3 on: 20/11/2008 18:09:49 »