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Exactly where is the flaw in the reasoning here?
PROBLEM: Three men share a hotel room.
The room costs thirty dollars.
So each of the three man gives the bellboy a ten dollar bill.
The bell boy takes the three ten dollar bills to the manager who says "That is a twenty-five dollar room." He gives the bell boy five one dollar bills in change to return to the three men.
On the way back to the room the bell boy thinks "How am I going to divide five one dollar bills three ways?"
"I know, These guys didn't leave me a tip". So, he puts two bills in his pocket for his tip and tells the men "The room wasn't ten dollars a piece . It was nine dollars a piece." He give each of them back one dollar.
So each man has now paid nine dollars.
Now, Three times nine dollars is twenty-seven dollars.
Add the two dollars the bell boy put in his pocket (27+2=29).
You now have twenty-nine dollars.
WHAT HAPPENED TO THE OTHER DOLLAR?
Where exactly is place in the way the problem is presented that produces this false conclusion?
By the way. I do not know the answer. The dollar mistake has to do with language not math.
I know that it works out correctly mathmatically in any of a variety of ways of explaining it.
Where exactly is the language twisted in the way the problem is presented here that it makes it seem like a dollar is missing????
Which sentence is it that throws us off?
Sarah The men in the problem never saw three diimes and three pennies, or any change of any kind. The manager dealt with whole dollars .
The bellboy dealt with whole dollars.
The guests only dealt with whole dollars.
I know it doesn't work number wise.
It which sentence is the LANGUAGE mistake?
What is the exact "wording" mistake?
3 Answers
- billcanoeLv 41 decade agoFavorite Answer
"So each man has now paid nine dollars.
Now, Three times nine dollars is twenty-seven dollars.
Add the two dollars the bell boy put in his pocket (27+2=29).
You now have twenty-nine dollars.
WHAT HAPPENED TO THE OTHER DOLLAR?"
Should read:
"So each man has now paid nine dollars.
Now, Three times nine dollars is twenty-seven dollars. (OR: SUBTRACT THREE DOLLARS FROM THIRTY EQUALS TWENTY SEVEN. (30-3=27))
SUBTRACT the two dollars the bell boy put in his pocket (27-2=25).
You now have twenty-FIVE dollars -- THE PRICE OF THE ROOM.
WHAT OTHER DOLLAR? THERE AIN'T NO 'OTHER' DOLLAR!"
- Anonymous1 decade ago
It is all in how the question is asked.
When the friends paid $10 dollars, they had paid $30 in total.
When the Cashier gave $5 dollars to the Waiter, the 3 friends had paid $25 to the Cashier and $5 to the Waiter.
When the Waiter returns 3 dollars, the 3 friends had paid $25 to the Cashier and $2 to the Waiter.
$25+$2 = $27 = 3 x $9.
- 1 decade ago
I don't see why the boy has to give them each back a dollar.
All he needs to do is keep the $2 tip and then he's done.
