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- Jan 26, 2012

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This problem for some reason has been around for some time but lately I have heard it from many friends and students, so I think it's worth posting for all young students who come by MHB.

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.

Now that each of the guests has been given \$1 back, each has paid \$9, bringing the total paid to \$27. The bellhop has \$2. If the guests originally handed over \$30, what happened to the remaining \$1?

On top of showing where the accounting error is you should also show the logic error by demonstrated in the problem.

Remember to read the POTW submission guidelines to find out how to submit your answers!

__Problem__: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.

Now that each of the guests has been given \$1 back, each has paid \$9, bringing the total paid to \$27. The bellhop has \$2. If the guests originally handed over \$30, what happened to the remaining \$1?

On top of showing where the accounting error is you should also show the logic error by demonstrated in the problem.

Remember to read the POTW submission guidelines to find out how to submit your answers!

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