Three men are walking through a town and wanted to find a place to rest, stop
into a hotel. The men ask the night manager how much a room is.
"A room is for 2 people and it costs $25 a night. We only have one room
Because it was the only hotel in the town and it was getting late, the three men
bargain for the room.
"We will give you $30 for the room. $25 covers the regular price, plus an extra
$5 to allow a third person to stay."
The night manager likes the idea of extra money for himself, so he collects $10
from each man (10 * 3 = 30) and gives them a key to the room.
Later on that same night, the manager feels guilty about his deal with the men.
He reasons that it was wrong for him to take advantage of their tiredness.
So, to make himself feel better, he decides to give them a refund. He calls the
bell boy and gives him $5 to give back to the men.
On the way to their room, the bellboy wonders. "How will three men evenly split
this money?" He decides to remedy it himself and takes a $2 tip, so each man
will get $1 back.
Now comes the interesting part. Watch very closely.
3 men initially paid $10 each
(3 * 10 = 30)
The manager returned a $5 refund back to them
From the refund, the bellboy took $2
(5 - 2 = 3)
So the three men each received $1 back.
(10 - 1 = 9)
So in effect, they each paid $9
($9 * 3 = $27)
Now add in the $2 the bellboy took
($27 + $2 = $29)
Why doesn't the math, equalling 29, add up to thirty?