Ok, here is the equation, tell me why it does not work? 3 guys go to a Hotel to rent a room. Clerk says its 30 bucks. Each guy gives the clerk 10 bucks [ 10x3=30 ] They go to room. Clerk finds his mistake and calls bellboy over. Tells bellboy, I overcharged these guys 5 dollars. Room is only 25 dollars. Take this 5 dollars to them. Ok, says bellboy and goes to guys room. After they answer door he explains they were over charged 5 dollars. [ 25 + 5 =30 ] Ok, say the guys, give us each back one dollar, and keep 2 for a tip to make it work out. [ 1+1+1+2=5 ] Bellboy does that and leaves with his 2 dollar tip. WTF math is happening. 25 + 5 =30 right? right. OK, now the 3 guys starting out paying 10 dollars each. They now each get back one dollar. [ 10 -1 = 9 ] Now they have only paid 9 dollars each and the bellboy got a 2 dollar tip. 3 x 9 =27 plus the 2 the bellboy got = 29 dollars. WTF ? They started out with paying 30 dollars. If the math works one way, then why not the other? Imagine if this is a business transaction and the numbers are millions. Who gets the missing dollar?

edit: wait, that doesn't work... okay, 2 paid $8 and one paid $9 = $25 and the 5 dollars. edit: haha think you can fool me with saying each one paid $9, and adding the $2. if that's the case, you need to add the $3 too, then it would be $32.

They each pay $10. 10 10 10 5 is taken. That is about $1.67 taken off per person. So that's about $8.33 paid per person. 8.33 8.33 8.33 That totals $25. They are then given $1 back each, and $2 is given to the bellhop. 8.33 + 8.33 + 8.33 + 1 + 1 + 1 +2 = 30 The problem was that when looked at collectively, the numbers are a little harder to see. Regardless, businesses are handled carefully and with far more than basic math skills.

This is a pretty famous riddle. http://en.wikipedia.org/wiki/Missing_dollar_riddle It's more misdirection than "wtf math".

Haha, its really much simpler than that It took me a good while to figure it out, just to discover how easy it is They each paid $9, which sums to $27, that $27 already includes the $2 tips, so you need not add it again Hope I made it clear enough, cause all these numbers make it so complicated xD

Without having to resort to decimals and stuff [change? what's that? LOL], I think this question, and many more like it, are deliberately made just to make this conundrum. I think the thing that really makes questions like this is, as far as I remember, the number subtracted from the original tally is always prime. 5 is a prime number. We are then forced to divide it as equally as possible, but without resorting to decimals, in which case [because prime numbers cannot be divided by anything other than 1 and the number itself] we are left with a surplus on one side and a deficit on another. And thus, the whole thing evolve into a clusterf*ck [even if you mash B. LOL] That's my take on it.

Here's a graph for the visual thinkers : The confusion* comes from the way it's explained. If you follow the numbers, things make sense. *This is what change artists prey on.

this ^ ,or you can 5/3 and it comes out 1.66666666....7 this 0.00000000....7 is the guilty as the number without this 0.0000000...7 cant become a full one (i dont know hot to write it in English hope its ok ) for example 1 and say at 0.944444444444444444...3

Ha, this brings back old memories The first time I saw this riddle was when I first played MMBN4 Red Sun and installed the 'Humor' program on MegaMan Anyways, I second what Shinigami357 said

I cant really see how this is hard. 1 guy payed a dollar more to the hotel than the other 2 while the other 2 each payed a dollar to the bellboy. What exactly doesn't make sense???

Nathan Drake explains it the best. Each person paid 1/3 of the bill. They got the 5 bucks back. They gave 2 to the bell boy. 25/3=8.333 repeating. Take the decimal from that number and multiply it by 3. There's your lost dollar.