Charlie Buttrey

June 10, 2019

With blogworthy news at a premium, today, gentle reader, I present you with this conundrum:

Three traveling salesmen check into a hotel. Not wanting to max out their expense accounts, they decide to share one room. They pay $30 to the manager and head off to raid the mini-bar. The manager then realizes that the weekday rate for the room is only $25, so he gives $5 to the bellboy to return to the men. The bellboy tries to work out how to split the $5 three ways, but fails, so he pockets $2, and gives $1 each to the salesmen.

But there’s a problem here. It seems that a dollar has gone missing. The three salesmen started off by paying the hotel $30 ($10 each). The manager of the hotel then gave $5 of $30 to the bellboy, who took $2 for himself and gave the remaining $3 back to the men ($1 to each man). Each salesman originally paid $10 (3 x $10 = $30), and has received $1 back, which means that each man has now paid $9 to the hotel.

So we’ve got the $27 that the salesmen have paid (3 x $9) and the $2 the bell boy has pocketed. This accounts $29. But the salesmen originally gave the hotel $30.

Where has the missing dollar gone?

Solution tomorrow.

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