The Vanishing Coin at Room 12
brainteaser
Three travelers rent a hotel room and pay $30 altogether, each contributing $10. Later, the desk clerk realizes the room should have cost only $25 and sends a porter upstairs with a $5 refund. The porter decides that $5 is awkward to divide equally among three people, so he secretly keeps $2 and gives each traveler $1 back.
Each traveler has now spent $9, making $27 in total. The porter kept another $2, apparently bringing the amount to $29. Yet the group originally handed over $30. This calculation seems to leave one dollar unaccounted for.
Ignoring the misleading arithmetic, how much did the three travelers actually pay in total after receiving their refunds?
Hints
Hint 1
Hint 2
Hint 3
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
What total amount did the three travelers actually pay?
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