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The missing dollar (brain teaser)

Discussion in 'BBS Hangout' started by newplayer, Apr 29, 2007.

  1. newplayer

    newplayer Member

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    Three men went to a restaurant for food, the bill was $30, so they each paid $10. But after they paid, the waiter came back saying that there was a mistake with the bill, and the bill was actually $25, and the waiter handed back $5. Since there was no way to split $5 equally among 3 people, each man took $1 back, and gave the remaining $2 to the waiter as a tip. Now, here is the problem: each man spent $9, and together they spent $27, the waiter got $2 as a tip, but there was $30 to begin with, so what happened to the missing $1? :p
     
  2. dookiester

    dookiester Member

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    They were eating albatross soup but realized it was actually man meat, so they took a dollar back from the waiter for making them inadvertent cannibals. The waiter, out a dollar, decides to rob some art to recover the loss. He's diabetic though so he leaves a glass of water behind. Cops catch him, don't ask me how because I don't know. Dude gets out in a year and after taking business classes in the clink, he opens up a clothing store. the quality of education in the prison system isn't too great though, so dude ends up losing 97 dollars because he accepts counterfeit money for a jacket (but being the unrefined slough he is, he thinks he actually lost 197 dollars). he decides to go into the chicken sale business, but he only makes a couple bucks out of it. Exhausted, he checks into a hotel and gets mad deja vu when he has to split 5 dollars in change 3 ways, tips the bellboy 2 bucks, and goes crazy wondering where the extra dollar went...
     
  3. newplayer

    newplayer Member

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    that's a rather good summary of all the previous rubbish brain teasers so far ... but I'd like think that mine is actually a good one. :p
     
  4. dookiester

    dookiester Member

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    your riddle was actually posted already, but it was a hotel room instead of a restaurant. it is a good one though.
     
  5. Mr. Clutch

    Mr. Clutch Member

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    The bill is actually $25 + $2 tip= $27. Not $30.

    So they each paid $9 times 3 = $27.

    I'm still trying to figure out how that above reasoning is so screwed up though.
     
  6. garthomps

    garthomps Member

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    The real deal is the transaction.

    Bill: $-25.00 ($25.00/3= $8.333)(Here is the missing dollar!)
    Tendered: $ 30.00
    Change: $ 5.00

    There is no $9*3 = $27. The charge would have really been $25.00/3= $8.33, not $9.00. The change, to be split equally would have been roughly $1.67 a person. But the change is not at issue. Changing $8.33 to $9.00 produces the $.666 per person deficit, this shows up when the deficit is accounted. The $5.00 change has already been accounted for appropriately as the men and waiter have taken their share, fair or not! What you are witnessing is “misdirection”. They had you looking at the “change” but the real solution is in the “bill”.

    Now do the math:

    $8.333 x 3 = $25.00 (Bill)
    $1 x 3 = $3.00 (Change received)
    $ .666 x 3 = $2.00 (Waiter)
    ————————-
    $ 30.00
     
  7. moestavern19

    moestavern19 Member

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    Yeah this one has been posted ages ago, you can just say each man paid $9.33, not $9

    $25 + each took $1 = $3

    = $28

    3 / 28 = 9.33
     
  8. newplayer

    newplayer Member

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    What are you talking about? Each man gave away $10, and got back $1, so how much did each man gave away? $10 - $1 = $9 ... You are looking at the problem from the wrong angle. :p
     
  9. professorjay

    professorjay Member

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    I'm confused. These guys tipped less than 10%? Was the service bad? Leaving $5 would make it an even 20% tip. For some reason this talk makes me want to eat Indian buffet today. I'll let you guys know the cash transaction goes.
     
  10. moestavern19

    moestavern19 Member

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    The guys all paid 10 dollars each for the meal, they received 5 dollars change, which means they really paid $8.33 each (3 / 25). They each keep one dollar from the change so that makes $9.33 each. $9.33 x 3 = $28. They give the remaining 2 dollars to the waiter.

    28 + 2 = 30


    Good day.
     
  11. Refman

    Refman Member

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    $30 tendered. The change is $5

    $1 to each of the 3 men =$3
    Tip to the waiter = $2

    $25 bill + $2 tip + $3 in change = $30

    All are accounted for.
     
  12. Colt45

    Colt45 Member
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    The problem is the wording of the riddle. They paid $27 (Bill $25 + Tip $2). Divided by 3, they paid $9 each. The riddle says they paid $9 each and then adds the $2 tip. But the tip has already been accounted for in the $27 payment. It should say they paid $27 and each got $1 back

    $27 + $3 = $30.
     
  13. dntrwl

    dntrwl Member

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    thats no brain teaser its just a math problem :(
     
  14. Mr. Clutch

    Mr. Clutch Member

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    The brain teaser is trying to figure out the messed up logic.

    I think Colt45 got it!
     
  15. AstroRocket

    AstroRocket Member

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    Man, this one is really old. I remember we did this on on the bus on the way to Summer camp back in '96.
     

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