Thursday, January 27, 2005

Conundrum of the Week

Here's a fairly popular riddle, but I figured I'd put it on here anyway. Enjoy!

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????

EDIT: The solution is in the comments section, SBG got it. Shane gets partial credit, but SBG explained his answer better.

2 comments:

Anonymous said...

My ... brain ... hurts. Since the bellhop keeps $2 each of the friends actually end up spending about $9.33 on the room? How about that?

SBG said...

$25 to hotel; 3 to friends, 2 to the bellhop = $30. The trick here is to think of the room costing $25 and not $30.

I like the game idea!