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puzzling question
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ok so a hotel manager has three people come and pay 30 dollars (10 each) and then go to thier room (they all rented the same room and split the bill). the manager noticed that they all gave too much (5 dollars) so he gives the bellhop 5 to give tothem. the bellhop keeps 2 and gives three to the others. so all of them payed nine dollars (9 x 3 = 27) and the two from the bellhop so it equals 29. where is the extra dollar? i saw this question and i got stuck on it for about 2 hrs till i got the answer plz tell me how long it would take you to figure it out.
"Empires rise and fall, but evil is eternal"
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Re: puzzling question
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ok I think it took me about 5 minutes to get this (if its the right answer) 1. they each pay 10.... 10 10 10=30 2. manager takes out 5.... 30-5= 25 3. from the 5 taken out(bellhop takes 2)....5-2=3 4. he gives three back....25+3=28 (see #2) 5. then 28+2(from the bellhop)= 30 soo the missing dollar was...actually there??? lol Idk it made sense to me.... I think Im wrong though... -shrug- |
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Re: puzzling question
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Took me a couple mintues as well. 25 for the bill 2 for the bellhop 3 handed back =$30 The 3x9 bit is only there to throw you off. So the extra dollar is actually there. |
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Re: puzzling question
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Kaimira and Tamanaid are quite right, BUT the puzzling thing is that Sturm's original way of doing it SHOULD work correctly. Everything he says makes sense logically...so the real question here is why isn't Sturm's method valid? Any math majors around...?  |
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Re: puzzling question
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by
on 2005-09-21 23:16:57 |
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They did pay 9 bucks a pop, in net. They each paid 10 and recieved a $1 refund. Very confusing. |
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Re: puzzling question
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uh looking at it as a equatation, The left side = The men, the Right side = the hotel bill. #1 Ze bill. 0 = 25 #2 ze men pay, ze bill. 10+10+10 = 25 + 5 #3 ze manager gives ze bell boy, $5. Bell boy spilts it into 3/2 10+10+10 = 25 + 3 + 2 #4 ze bell boy, gives ze monies back to ze men 9+9+9 = 25+2 #5 The real problem iz, 3 men in a hotel room = gay! (no just jk, but makes you wonder dosnt it) The problem is you are adding the $2 to the 27, when you should be adding it to the 25. |
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Re: puzzling question
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this thread is full of computaions! (:
smile smile...
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Re: puzzling question
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Ok thank you for clearing that up oldcrow what I am really asking = is math flawed? sure if you look at it verbally then yes it all amounts to thirty but then y doesnt it work mathematicly??? I myself have found the answer after 2 or 3 hours.
"Empires rise and fall, but evil is eternal"
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Re: puzzling question
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by
on 2005-09-22 10:34:28 |
they did NOT all pay 9 x 3! remember, they payed 30. they were refunded 3 and 2 was lost to the belhop. saying that they each payed 9 is false. 
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Re: puzzling question
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I get it now! Their actual refund was not one dollar each, it was 5/3 of a dollar--or it would have been, except for the fact that the bellhop took two dollars. Thanks, Gendou. |
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Re: puzzling question
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they did all pay $9. ignoring the bellhop for now, looking at it from the mens point of view. They all paid $10. They each recieved $1 change. So they paid $9 each. Technicaly their change should have been $1.66 but the bellhop stole a portion of the change. Like I said before, the mistake here is trying to add the $2 to the 27. The men, paid 30. They recieved $3 change. So the GRAND total they paid, was $27. If you wonder where the missing doller went, go search the guys wallet and get the $3 back. There is no "missing dollar" |
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Re: puzzling question
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| The whole problem is that someone added the two dollars to the $25 that went to the hotel, twice. They replaced the three dollars refunded with the two dollars stolen. |
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Re: puzzling question
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Wait a second, how the heck do you get paying thirty dollars to being a 27 dollar grand total? And I have no idea why you are using that equation. Maths was never my strong point, this is a question of logic not maths. |
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Re: puzzling question
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well I see gendou had no problem with this one but the real answer which Raijinili (I think said) is not to get to thirty its to get to 25, because each person didn't pay nine dollars! one person payed 9 and the other two payed 8 (2 to the bellhop) so 9 + 2 x 8 = 25! and by the way lucian the bellhop stole 2. But this still leaves the question, why didn't the mathimatical version work beacuse you should still be able to get 30 but 25 + 2= 28 so even with the correct way your 2 dollars away still.
"Empires rise and fall, but evil is eternal"
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Re: puzzling question
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one person payed 9 and the other two payed 8 (2 to the bellhop) -------------------------------------------- Lets see, they paid 10+10+10 They recieved 3 dollars in change. how does that work to 28? Look at it like this. Men-----|---hotel 9+9+9 |25+2 They paid 9x3, $27. And the hotel used it to pay the bill and the bellhop Why only 27? Because the men got 3 dollars change and put it back in their wallets. |
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Re: puzzling question
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by luciolahexns
on 2005-09-25 23:32:43
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That... hurt my mind a little bit. But I got it.  Diciples of the Greyhound |
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Re: puzzling question
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ok so a hotel manager has three people come and pay 30 dollars (10 each) and then go to thier room (they all rented the same room and split the bill). the manager noticed that they all gave too much (5 dollars) so he gives the bellhop 5 to give tothem. the bellhop keeps 2 and gives three to the others. so all of them payed nine dollars (9 x 3 = 27) and the two from the bellhop so it equals 29. where is the extra dollar? i saw this question and i got stuck on it for about 2 hrs till i got the answer plz tell me how long it would take you to figure it out. the answer is the question is invalid. when the question said 9x3=27 and the two from the bellhop, the question has already repeated the +2 since the 9x3 already included the +2. how was the +2 included in the 9x3? remember the payment made to the manager was 25 dollard. that is (8x3)+1 =25 plus the 2 dollars that the bellhop took, that is 25+2=27,which can also be computed as 9x3=27. so the right computation must be 9x3=27 and the 3 that the bellop returned to them. so that is equal to 30. i considered the 2 dollars to be a payment since the bellhop is working for the hotel. to simplify: 25 dollars paid to the manager 2 to the bellhop 3 was returned to them --- 30 dollars I'm really not good at explaining things. hope you people understood. |
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Re: puzzling question
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jester got the answer (the one that explained the whole thing), but the answer is to those who can't understand this one is to get to 25 not 30 because u can set aside the money from the bellhop and see that 8x2+9=25 so that wold mean they payed thier bill with tip to the bellhop!
"Empires rise and fall, but evil is eternal"
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