Three guests check into a hotel room...

Riddle: Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests. The bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests, so he just gives each guest $1 back and keeps $2 as a tip for himself. As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?

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Answer: The $27 paid already includes the bellhop's tip, so $27 + 3x$1 in hand makes $30.

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