Question: Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?
Hint: Make a list of all of the people involved and how much money they ended up with/spent.
Answer: The $9 paid by each guest accounts for the $2 that went to the bellhop. So rather than adding $27 to the $2 kept by the bellhop, the $27 accounts for the bellhops money. The $27 plus the $3 kept by the guests does add up to $30.
Question: A man is writing his will and he wants to leave everything he has to one of his two sons, whichever one is more dedicated. To decide which one will win his fortune he gives them each a car and tells them that whoever's car passes the finish line he has set up last will get everything he has.After a month of both sons refusing to cross the line they finally go to their uncle for advice. They both leave their uncles house in a hurry and race to the finish line as fast as they can.What advice did their uncle give?
Answer: Their uncle told them to switch cars. If they switch cars they are driving their brother's car and if they drive their brother's car past the finish line first, their car will be last and they will win.