The Missing Dollar Riddle

Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance. So, they each pay the clerk $10 and go to their room.

A few minutes later, the clerk realizes he has made an error and overcharged the trio by $5.

He asks the bellhop to return $5 to the 3 friends who had just checked in.

The bellhop sees this as an opportunity to make $2 as he reasons that the three friends would have a tough time dividing $5 evenly among them; so he decides to tell them that the clerk made a mistake of only $3, giving a dollar back to each of the friends.

He pockets the leftover $2 and goes home for the day! Now, each of the three friends gets a dollar back, thus they each paid $9 for the room which is a total of $27 for the night.

We know the bellhop pocketed $2 and adding that to the $27, you get $29, not $30 which was originally spent. Where did the other dollar go????

GO TO BOTTOM FOR ANSWER
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The facts in this riddle are clear:

There is an initial $30 charge.

It should have been $25, so $5 must be returned and accounted for. $3 is given to the 3 friends, $2 is kept by the bellhop - there you have the $5.

The trick to this riddle is that the addition and subtraction are done at the wrong times to misdirect your thinking - and quite successfully for most.

Each of the 3 friends did indeed pay $9, not $10, and as far as the friends are concerned, they paid $27 for the night.

But we know that the clerk will tell us that they were charged only $25 and when you add the $3 returned with the $2 kept by the bellhop, you come up with $30.

From Ward, another way to look at this one: My answer:

The following night two friends check into the same motel.

Once again the clerk charges them $30, or $15 per person.

After the clerk remembers the total rate is only $25 he sends the bellhop upstairs with five $1 bills to pay the two friends back.

The bellhop knows he got away with larceny once so he tries it again.

But this time he pockets $3 and returns $2 to the hotel guests ($1 per guest).

So each of the two guests got $1 back from their original $15.

Therefore each paid $14 which is a total payment of $28 for the room.

Now the bellhop has $3, the guests paid $28, for a total of $31....THERE'S THE MISSING DOLLAR!!!!


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