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G6er
Lv 6

Ok, Another riddle. can you get this one?

3 guys get a hotel for the night. (Who cares why, not important..who am I to question other people's lifestyle choices! lol) anyways.... The manager charges them $30 for the room which works out so each man pays $10. Later that night the manager realizes that he was only suppose to charge $25 for the room. He sends the bell boy to the room with the change.

The men, realizing that $5 will be hard to split evenly only take $3 and give the bell boy the other $2.

Now, each man has now paid $9 for the room.

9x3 = 27 plus the $2 for the bell boy makes $29

Where is the missing dollar?

5 Answers

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  • 1 decade ago
    Favorite Answer

    Trick riddle.

    The answer comes from a logical fallacy. It's this statement right here: "This means that each man paid nine dollars for the room." Where did the nine come from? It came from 30-3÷3=9. Why on earth would you subtract three, though? They were out FIVE. The math done properly should be 30-5÷3=8.33. Replace the nine with that number and the problem works out just fine (minus the penny we just lost in rounding down). Observe: This means that each man paid 8.33 dollars for the room. 8.33 dollars times the three (three men) is twenty-five. Now add the two dollars the bellboy took, plus the three dollars that was returned to them and that is thirty. There is no reason to add the $2 back in because it was in the $9 each of them paid. You could just add back in the $3 they got back.

  • 1 decade ago

    We have 3 entities: The clerk, the bellhop, and the guests.

    The initial payment of $30 is accounted for when the clerk takes $25, the bellhop takes $2, and the guests get a $3 refund. It adds up.

    After the refund has been applied, we only have to account for a payment of $27. Again, the clerk keeps $25 and the bellhop gets $2. This also adds up.

    If someone says, "Okay, but it's still true that the bellhop's $2 plus the guest's $27 equals $29. How does that add up?" The answer is that the bellhop's $2 came out of the $27 payment, leaving the $25 kept by the clerk. There is no reason to add the $2 and $27, and no reason to expect a particular result if we do.

    This becomes clearer when we write the initial and net payments as simple equations. The first equation shows what happened to the initial payment of $30:

    $30 (initial payment) = $25 (to clerk) + $2 (to bellhop) +$3 (refund)

    The second equation shows the net payment after the refund is applied (subtracted from both sides):

    $27 (net payment) = $25 (to clerk) + $2 (to bellhop)

    Both equations make sense, with equal totals on either side of the equal sign. The correct way to get the bellhop's $2 and the guests $27 on the same side of the equal sign ("The bellhop has $2, and the guests paid $27, how does that add up?") is to subtract, not add, and when you do --

    $27 (final payment) - $2 (to bellhop) = $25 (to clerk

  • 1 decade ago

    well at first they pay $30. so he gives them back 5.so the manager has 25. they each get 1 so that makes 28 plus the 2 for the bell boy 30.

  • 1 decade ago

    U R TAMIL I KNOW U GOT THIS FROM A BOOK ANY WAY 25 + 3 IS $28 THEN THE BELL BOY GETS 2 $ THATS 30$ THIS QUESTIONS MAKES U SUBTRACT AND ADD AT THE WRONG PLACES

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  • 1 decade ago

    I HAVE THE MISSING DOLLAR RIGHT HERE

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