Three people check into a hotel room. The bill is $30 so they each pay $10. After they go to the room, the hotel’s cashier realizes that the bill should have only been $25. So he gives $5 to the bellhop and tells him to return the money to the guests. The bellhop notices that $5 can’t be split evenly between the three guests, so he keeps $2 for himself and then gives the other $3 to the guests.
Now the guests, with their dollars back, have each paid $9 for a total of $27. And the bellhop has pocketed $2. So there is $27 + $2 = $29 accounted for. But the guests originally paid $30. What happened to the other dollar?
There is no missing dollar. The men spent $27. Of which $25 went on the room and $2 went to the light fingered bell boy. You can not add the $2 the bellboy has to the $27 the men spent as this $2 actually comes out of the $27 the men spent, the other $25 going on the room.
$30 breaks down as shown below:
- $25 – room
- $3 (3x $1) back to the men
- $2 Bellboy