Doomy wrote:

so these three guys went to rent a hotel for a night for $30 so they split it up and paid him $30 and the manager made a mistake and it was $25 not $30. So he gave the boy $5 back to give the guys, the boy stole $2 and gave $3 back to the guys, so its like they paid $9 ea right?

9+9+9 = 27 + 2 = 29

Where did the other $1 go?

It isn't like they paid 9 dollars each, because they never got the other two dollars. All three guys are missing 66 cents. The boy has them. Soo, it isnt like they paid 9 each, its like they paid 9.33 each currently, only because the boy has 2.

Heres the math

Ill use variable abbrevs.

Guy 1 is A

Guy 2 is B

Guy 3 is C

Manager is D

Boy is E

ok

the start is

a=10, b=10, c=10, d=0, e=0

next

a=0,b=0,c=0,d=30,e=0

then

a=1,b=1,c=1,d=25,e=2

So actually,

a+b+c+d+e=30

They did not each pay 9 dollars even though they got 3 back because the boy has 2. The manager and the guys have a total of 28 together, split in 3 is 9 and a third. 9 and a third multiplied by three plus two (9.33 * 3 + 2) is equal to 30, not 29. So one dollar is not actually missing, because the guys didnt actually only pay 9 dollars each when they got the three dollars back, they paid 8.33 each only because the boy has 2 and the manager has 25.