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A Brain Breaker

For these types of puzzles, focus on the source of the money. :cool:
Buyer contributed $10 while the vendor contributed $1 to the total $11 transaction.
Yup. This hotel riddle is an even more confusing version of that.


Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellboy $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?
 
Easiest for me to understand the riddle is the same as the previous riddle. Who has how much in their pocket?
30 = $1 person A
$1 Person B
$1 Person C
$2 Bellhop
$25 Clerk
 
The two transactions are in no way related. If the refunded amount is greater it is easier to see.
Change the amount being charged for the room to $75 ($25 each) for a $25 room with $50 being returned to the guests.

$75 = $25 Clerk
$2 Bellhop
$16 Person A
$16 Person B
$16 Person C

If you attempt the same flawed logic as the original riddle and say each guest paid 25 and got back $16 so they each paid $9 for the room (3x9=$27) and the bellhop got a $2 tip for a total of $29. What happened to the other $46 dollars?
Using this example, it is easier to see the transactions are not related :cool:
 
I cannot math, but I’ve always heard that the reason it trips people up is because it is worded or presented wrong. The first one for me was easy to figure out after thinking for maybe a minute lol.
 
I cannot math, but I’ve always heard that the reason it trips people up is because it is worded or presented wrong. The first one for me was easy to figure out after thinking for maybe a minute lol.
Folks in Finance solve it in terms of debits and credits or liabilities and assets.
Engineers solve with equations.
Mathematicians solve with Algebra.

I try to focus on the money :cool:
 
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