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Hotel Bill

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#61 xucam


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Posted 12 November 2008 - 05:04 AM

Hotel Bill - Back to the Logic Puzzles
Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29.
Where is the remaining dollar?

They each paid $9 for a total of $27. The hotel got $25, and the $2 the bellboy stole is the difference (27-25)

Edited by xucam, 12 November 2008 - 05:05 AM.

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#62 Svetka-Konfetka



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Posted 13 November 2008 - 02:27 AM

The way this problem is written, confuses people. Each person did not pay nine dollars, they paid ten each. So right now the manager has all thirty dollars. He gives five to the bellboy.
Manager: 25
Bellboy: 5
The Bellboy pockets two dollars and gives each person three.
Manager: 25
Bellboy: 2
Person 1: 1
Person 2: 1
Person 3: 1
Add all that up. 25+2+1+1+1= 30
They try to confuse you my making you think each person paid nine, so the manager has 27, and the three people have nothing. TRICKY!

This is gonna be the best explanation. Good job! Simple and clarifying B))
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#63 SnakeLegSoup



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Posted 21 November 2008 - 03:10 AM

Stage 1:
Alf hands $10 to Manager
Bert hands $10 To Manager
Charlie hands $10 to Manager - So,
Manager now holds $30
Total held equals $30

Stage 2:
Manager hands $5 to Bell Boy - So,
Manager now holds $25
Bell Boy now holds $5
Total held equals $30

Stage 3:
Bell Boy hands $1 to Alf - So,
Manager now holds $25
Bell Boy now holds $4
Alf now holds $1
Total held equals $30

Stage 4:
Bell Boy hands $1 to Bert - So,
Manager now holds $25
Bell Boy now holds $3
Alf now holds $1
Bert now holds $1
Total held equals $30

Stage 5:

Bell Boy hands $1 to Charlie - So,
Manager now holds $25
Bell Boy now holds $2
Alf now holds $1
Bert Now holds $1
Charlie now holds $1
Total held equals $30
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