Three people check into a room. The bill is $30. They split it 3 ways. Later on the hotel realizes they should have charged $25 so they send a bellhop to return $5. The bellhop realizes he can't split $5 3 ways to he gives each person $1 and keeps $2. They have now paid $9 each for the room, the bellhop has $2. $27 + $2 = $29 What happened to the last $1 considering $30 was originally paid.
Common Wrong Answers
“The hotel kept the extra $1.”
The hotel did not keep the extra dollar; they adjusted the bill to $25 and sent back $5 to the guests, which accounts for the total paid.
“The guests overpaid, and the hotel owes them $1.”
The guests did not overpay; they paid $30 and received $3 back, making their effective payment $27 for the room, which is correctly accounted for, with no money owed.
“The bellhop stole the $1.”
The bellhop did not steal the dollar; he returned $3 to the guests and kept $2, which is accounted for in the total payment of $27.
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