Question:

PLEASE HELP ME SOLVE THIS !! haha ! im really confused :S?

by  |  earlier

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heyy .. my mum sent me this in a text and i was like whoaa i dont get it !!

3 men go to a hotel. 1 room costs £30 so they each pay £10.

Later the man behind the desk realises he made a mistake and the room was actually £25.

He sends up the bell boy £5 . He doesnt know how to split it between the 3 so gives them back £1 each and keeps £2 for himself. This means the 3 men each paid £9 for the room making £27 plus the £2 the bell boy kept makes £29.

What happened to the missing £1?

Thanks x :D

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6 ANSWERS


  1. We unravel this confusion by recognizing that there is no reason to add $2 to $27. It should be subtracted.

    The $3 amount that has been returned to the guests is a reduction in the amount that the guests paid, so it should be subtracted from the total. The bellhop returned $3 ($1 each), making their total payment $27 (mathematically, $30 - $3). Note that the $3 is subtracted from the total. If the bellhop then changed his mind and returned the additional $2 to the guests, it would also be subtracted from the total. The mistake is made in trying to add this $2 instead of subtracting it. Simple math demonstrates what readers intuitively sense, that there is no missing money. The sum of their payments is $25 in the till, $2 in the bellhop's pocket (totaling $27), plus the $3 in change that the guests now have, which brings the total up to $30.

    The incorrect solution is: ($10 - $1) x 3 + $2 = $29. This equation is not meaningful: the number 29 is not significant to the problem, i.e. there is no "missing $1".

    The correct solution is: ($10 - $1) x 3 - $2 = $25. In this case the solution is the bill amount, which is also the amount of money left in the till.

    In other words, $27 is the amount that the guests have paid. Of that $27, $25 went into the till and $2 went to the bellhop. The other $3 is returned to the guests.


  2. The bell boy kept it??

    help me out now

    http://answers.yahoo.com/question/index;...

  3. you added wrong they made you think that that was the right way to do the math problem

    10 +10 +10= 30 (what they payed)

    30-5=25 (what the man gave the bellboy)

    1+1+1=3 (the money they got) (so 25+3=28)

    28+2 (the 2 the bellboy took)

    hope that makes sense

  4. the bell boy kept it [ i think but idk ]

  5. The logic is wrong.

    Men payd 27 and man behing the desk took 25+2 = 27

    You don't have to add 27 and 2 (at least you have to subtract, to obtain the cost of the room, equal to 25).

    ;-)

  6. I don't have a pound sign on my keyboard, so we'll have to do this in $s!

    The answer is, there is no missing $1.  The question tricks you into adding incorrectly.  

    The room cost $25, and the boy took $2.  $25 + $2 = $27 which is what the guys paid after getting their money back.  

    So, the statement "the men paid $9 each for the room, and the boy took $2" is incorrect...the $2 he took was INCLUDED in the $9 they paid!

    Hope that helps

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