curious Posted April 17, 2007 Share Posted April 17, 2007 This will Mess With Your Head. 3 MEN GO INTO A MOTEL. THE MAN BEHIND THE DESK SAID THE ROOM IS $30, SO EACH MAN PAID $10 AND WENT TO THE ROOM. A WHILE LATER THE MAN BEHIND THE DESK REALIZED THE ROOM WAS ONLY $25, SO HE SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5. ON THE WAY, THE BELLBOY COULDN'T FIGURE OUT HOW TO SPLIT $5 EVENLY BETWEEN 3 MEN, SO HE GAVE EACH MA N A $1 AND KEPT THE OTHER $2 FOR HIMSELF. THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE ROOM, WHICH IS A TOTAL OF $27, ADD THE $2 THAT THE BELLBOY KEPT = $29. WHERE IS THE OTHER DOLLAR? Link to comment
Gennie Posted April 17, 2007 Share Posted April 17, 2007 This will Mess With Your Head. 3 MEN GO INTO A MOTEL. THE MAN BEHIND THE DESK SAID THE ROOM IS $30, SO EACH MAN PAID $10 AND WENT TO THE ROOM. A WHILE LATER THE MAN BEHIND THE DESK REALIZED THE ROOM WAS ONLY $25, SO HE SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5. ON THE WAY, THE BELLBOY COULDN'T FIGURE OUT HOW TO SPLIT $5 EVENLY BETWEEN 3 MEN, SO HE GAVE EACH MA N A $1 AND KEPT THE OTHER $2 FOR HIMSELF. THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE ROOM, WHICH IS A TOTAL OF $27, ADD THE $2 THAT THE BELLBOY KEPT = $29. WHERE IS THE OTHER DOLLAR? It's rather easy, actually. The men DIDN'T pay $9 for the room, they paid $10. They all should have been refunded $10, and then split the $25 three ways, for $8.33 cents apiece. They were ripped off. Gary .... where are my hugs???? <VWEG> Link to comment
curious Posted April 17, 2007 Author Share Posted April 17, 2007 true! But i still cant figure out where that dollar is? U gotta admit thats puzzling! why does that not work out!? figures ud figure it out gary! u brainiac ! has a lifetime supply of huggles for u if u really want them! take care CURIOUS Link to comment
Gennie Posted April 17, 2007 Share Posted April 17, 2007 true! But i still cant figure out where that dollar is? U gotta admit thats puzzling! why does that not work out!? figures ud figure it out gary! u brainiac ! has a lifetime supply of huggles for u if u really want them! take care CURIOUS There never was another dollar. The room was $25. Twenty five, divided by 3, is 8.3333333333 repeating. So, two of the guys should paid $8.33 and the last one should have paid $8.34 to make it $25. The men were mischarged at a rate of $30. So, there is a $5 difference. If you divide the $5 by the three men, it comes to $1.6666666 repeating, which if you add it to the 8.3333333 gives you 9.9999999 repeating, or $10. Hence, had it been properly, each man would have been given $1.67, and one of them got $1.66. At that point, the clerk would have not had any money left over, and hence, there is no missing dollar. Simple arithmetic. Gary Link to comment
curious Posted April 17, 2007 Author Share Posted April 17, 2007 ok i know simple aritmetic and ur right but the thing is they started out with $30 whether they were overcharged or not .. and when ya do the math of what the ending money was, it was $29 dollars.. i know divided up , what they SHOULDA paid... but the way it sits they paid $30 and in the end, it ended up to be $29.. there is STILL a missing dollar Link to comment
Gennie Posted April 17, 2007 Share Posted April 17, 2007 ok i know simple aritmetic and ur right but the thing is they started out with $30 whether they were overcharged or not .. and when ya do the math of what the ending money was, it was $29 dollars.. i know divided up , what they SHOULDA paid... but the way it sits they paid $30 and in the end, it ended up to be $29.. there is STILL a missing dollar Okay, imagine this. "A WHILE LATER THE MAN BEHIND THE DESK REALIZED THE ROOM WAS ONLY $25, SO HE SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5." IF the clerk sent five one dollar bills, then he was in error. He SHOULD have sent $1.66, $1.67 and $1.67, the $1.67s going to the two men who *would* have paid 8.33, and the $1.66 to the man who would have paid $8.34. Since none of the men actually paid that, it didn't matter, really who got what. The Bellhop must not have realized the mistake. If he gave each man only $1, and kept the other two for himself, then he ripped them off. They were ripped off for about sixty-seven cents each. Sixty-six cents times three is $1.98. The two $1.67's would have made up the two cent difference. G Link to comment
Acecool Posted April 17, 2007 Share Posted April 17, 2007 man1 = 10 in man2 = 10 in man3 = 10 in bell gets 5 bell gives 3 men 1 each, so they are all 9 in... BUT, look at it this way, 25 / 3 = 8.333333 + 1 * 3 = 28 :-) Add 2 for the bellboy and there is your 30.. The riddle writer pulled a number out of his behind that was divisible by x, and also by x, to confuse.. Link to comment
Red Barchetta Posted April 17, 2007 Share Posted April 17, 2007 man1 = 10 inman2 = 10 in man3 = 10 in bell gets 5 bell gives 3 men 1 each, so they are all 9 in... BUT, look at it this way, 25 / 3 = 8.333333 + 1 * 3 = 28 :-) Add 2 for the bellboy and there is your 30.. The riddle writer pulled a number out of his behind that was divisible by x, and also by x, to confuse.. Yah, now I see it - that dose play with your head, but true - if the room SHOULD have been $25 total, split 3 was that is NOT $9, as stated it's actually $8.33333333333 (infinate repeate), that's where it messes with you. BUT still, there your answer, - what of the bellboy stealing though (it may only be $2.00, but it's still stealling reguardless of how small the amount, unless the men told him to keep it, and since there is no mention of that......) Link to comment
Diapers4Me Posted April 17, 2007 Share Posted April 17, 2007 There is no missing dollar. The 3 men paid 9 dollars each for the room which totals $27. They should have paid $25 for the room. The bellhop had five dollars to return, he gave 3 to the men and kept 2 for himself. So add it up the other way (the brain teaser is trying to confuse you into thinking you need to add the $2 to the $27, when you actually should be adding the $3 to the $27). Room cost = 25 rebate to men = 3 Bellhop's "tip" =2 Total is $30 You have to add up who has what money. Of the original $30, the hotel has $25, the men have $3 and the bellhop has $2. You should be subtracting the bellhop's $2 from the $27 to get to $25, not adding it. Link to comment
baby-dandan Posted April 17, 2007 Share Posted April 17, 2007 Were the men getting the room in Las Vegas? Maybe the bellhop slipped the bill into a slot machine and just kept it a secret (shhh... I know I would have)! Link to comment
Valentine Posted April 17, 2007 Share Posted April 17, 2007 The $2 that the Bellhop kept is not added to the 3x$9, it is subtracted from it. The men paid a total of $27, the hotel got $25 and the Bellboy $2. Link to comment
Simba Posted May 1, 2007 Share Posted May 1, 2007 This is an absolute classic, dating from hundreds of years ago with a rich man and camels!!! Valentine has the trick... adding $2 to $27 is deceptive and incorrect, and the mistake most people make!!! Put it another way, let's do the hotel bill.... $25 for the room, and then the bellhop adds his $2. Total $27. Each guest pays $(10-1) = $9 each; times 3 = $27. All square, no missing dollar. I do love giving this one as a starter to a class of 7th/8th grade kids.... Simba Link to comment
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