Q: I saw you on the "Attack of the Show" and decided to email you my problem. I've heard it many times before, and to this day, I was never able to solve it: Three men got to a motel. The receptionist tells them the room will be $30. Each man pays $10 before going to the room. The clerk then realizes that they were given a $25 room, and sends the bellhop to the room with $5. But the bellhop decides to pocket $2, and he only gives the three men $1 each. So each man paid $9 for the room. But three times $9 is $27, with the $2 the bellhop kept, that's only $29- where's the missing dollar?
Danica Answers: Ah yes, the so-called "missing dollar" problem. In the end, the men paid a total of $27, right? Well, $25 went to the room, and $2 went to the bellhop. That's it. There's no missing dollar. The $2 is PART of the $27, not something to be added to it. It actually works out just fine, it's just worded in a way that's meant to confuse you.
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It reminds me of this problem:
Q: I saw you on the "Attack of the Show" and decided to email you my problem. I've heard it many times before, and to this day, I was never able to solve it: Three men got to a motel. The receptionist tells them the room will be $30. Each man pays $10 before going to the room. The clerk then realizes that they were given a $25 room, and sends the bellhop to the room with $5. But the bellhop decides to pocket $2, and he only gives the three men $1 each. So each man paid $9 for the room. But three times $9 is $27, with the $2 the bellhop kept, that's only $29- where's the missing dollar?
Danica Answers: Ah yes, the so-called "missing dollar" problem. In the end, the men paid a total of $27, right? Well, $25 went to the room, and $2 went to the bellhop. That's it. There's no missing dollar. The $2 is PART of the $27, not something to be added to it. It actually works out just fine, it's just worded in a way that's meant to confuse you.
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