(Inspired by the simple equation thread that is already 50+ pages, lol) Suppose 3 people go to a restaurant. The bill is 30 $. Each pays 10 $. The manager notices they are regular customers and decides to give them 5 $ back. The three take 1 $ each and give 2 $ tip to the waiter. Because they take 1 $ back, they in fact pay 9 $ each, right? But 9 + 9 + 9 equals 27 $ + the tip of 2 $ = 29 $ total. The bill was 30 $. Where is the 1 $??

1) Group eats. (Group=$30, Manager=$0, Waiter=$0) 2) Group pays bill without any tip. (Group=$0, Manager=$30, Waiter=$0) 3) Manager gives $5 rebate to group. (Group=$5, Manager=$25, Waiter=$0) 4) Group pays a small tip ($2) to waiter. (Group=$3, Manager=$25, Waiter=$2) I'm not sure where the issue is. At the end, the group has $3. The manager has $25. The waiter has $2. $30 total for all three.

the 3 people giving $2 for tip is inclusive in the $9 that they each pay. bill is $30, manager gives $5 back, which essentially makes the bill $25 or $8.33/person. They decide to give the waiter a $2 tip in total, which comes out to $0.67/person. so they each end up paying $9.

The way the question is laid out is misleading. -They pay $10 each, that's $30 total. Put it in a pool on the table. -The manager throw out $5, that makes $35 total in the pool. -They take $1 each, that means $10 + $1 = $11 each. $11 x 3 = $33. -Waiter takes $2. -$33 + $2 = $35

there was only $30 to begin with. when the manager gives them the money back, it comes from the $30 that was paid, so it can't be $35. although, if you know how to make an additional $5 appear from $30, please shoot me an email haha.

But they first take the one dollar each and then hand out the tip. Taking the dollar made their individual bill 9 $ already. From their perspective they paid 9x3 + 2 = 29. P.S. Your answer is correct. I tried to explain it once to a friend who never got it and said it is math failure lol...

man you are a member in this forum for more than a half a decade Maybe non-ancient posters haven't seen it.

That's a pretty skimpy tip, especially after getting $5 back. $2 is barely a 6.7% tip. Generally tipping is at least 15% which would've been $4.50. They should've just left the $5 for the waitress!

I believe that this is one example of why we have the order of operations: if you do math in random order, errors can occur.

No, they chipped in $27. The bill was $25 leaving $2. Instead of dividing the $2 between themselves, they gave it to the waiter. 9x3 = 25 + 2. The error is adding the $2. It is part of the $27 that is split between the bill and the tip.

Its stuff like this why I dropped maths at 13. I saw this puzzle back around then and could not figure it out where the missing money went. Even when i saw a so called solution, it made no sense. Maths is very dangerous, it makes money disappear and if you do not understand it its best to stay away from it. I used to stress and lose whole night's sleep about how Maths was supposed to make sense but instead it turned the world upside down. That is why I pay by credit card.

I have a better question: Where are the Enron and Lehman Bros' dollars? You guys with all the maths and stuff are not smart enough to answer this.