Three students rent a hotel room, and pay the desk clerk $60. A new clerk comes on duty, and finds that the discounted rate for students should have been $55. The new clerk gives the bellhop $5 to return to the students, but the bellhop, not having change and being slightly dishonest returns only $1 to each student, and keeps the remaining $2. Now each student paid $20-$1 = $19, and 3 x $19 = $57 paid in total. The bellhop kept $2 for a total of $59. What happened to the other $1?

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