Good brain teaser
3 guys want to share a hotel room and the costs. The clerk charges them $30 ($10 apiece) and sends them up to their room so they can rest. Later he discovers that he has overcharged them for the room, the correct rate for that room is only $25 per night. He sends the bell hop up to their room with their $5 refund. On the way up to their room the bell hop is wondering how he is supposed to split $5 between 3 different guys. In order to avoid the hassle he pockets $2 of the $5, leaving a $3 refund to split between the 3 friends. He does this and leaves… everyone is happy right? Except for the mathematician… the 3 friends each paid $9 apiece for the room ($10 minus the $1 refund) which makes a total cost of $27 ($9 times 3) for the room. $27 plus the $2 the bell hop kept only equals $29 where did the missing dollar go? In the mathematicians wallet, that is his cut for making you believe that numbers are perfect.