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three men rent a hotel and the hotel room cost $30 and the three men split the bill and paid $10 each. while they were in there room the clerk at the front desk realized that the room was only $25. so she gave the bellboy $5 to give back to the men. in the hallway outside the door of the men's room the bellboy realized that $5 could not be split evenly between the three men. so the bellboy came to a conclusion and gave each of the men $1 and kept the leftover $2 for himself. It now seems that each guest has paid $9 for the room (that makes $27), and the bellboy has $2, for a total of $29. where is the missing dollar???

 Mar 23, 2016
 #1
avatar+2592 
+5

You done maths wrong. The room is $30. They pay $10 each. They then are given $1 each. So they Pay $9 each, which is $2 extra, than the $25.

What you are saying, is that the men are only paying $9, when, in fact, they are actually paying $9.66, because of the $2 the bellboy is taking. There is no missing dollar. The cost of the room ($25) plus the cost of the bus boy($2) is equal to the amount paid by the 3 guests($27). They have the money given back to them($3, $1 for each) with themselves, which equals the total starting price of $30.

 Mar 23, 2016
 #2
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Great job that is some amazing logical skills you have there ive met very few people that are able to do that right there i would like for you too check out this website brilliant.org out of all the people that have ever attempted this problem only 11% got this right Great job 

 Mar 23, 2016
 #3
avatar+2592 
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Thank you! I will

SpawnofAngel  Mar 23, 2016
 #4
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might i ask how old you are?

 Mar 23, 2016
 #5
avatar+2592 
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Just a sophmore in High school. 16 to be exact

SpawnofAngel  Mar 23, 2016
 #6
avatar+2592 
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Sorry about that wait, was checking out that website. Looks pretty cool. 

SpawnofAngel  Mar 23, 2016
 #7
avatar+129907 
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Actually ...they only pay $9 each

 

Total costs =  Room and Tip

 

The room is $25....split 3 ways......that is $ [8 + 1/3] apiece

 

The tip is $2......split 3 ways......that is  $ [2/3] apiece

 

So...the total cost to each is $ [ 8 + 1/3 + 2/3]   = $9

 

And they get $1 back each......which is the correct change

 

 

cool cool cool

 Mar 23, 2016
 #8
avatar+2592 
0

YOU HURTING MEH HED NOW. STAHP THAT.

SpawnofAngel  Mar 23, 2016

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