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Marilyn..

It's getting too deep for me, Rocco!

Marilyn...

Marilyn...

The Innkeeper gets 25 of those dollars, they get three back and the bellboy gets two. that adds up to 30.

Conversely the room cost 25 dollars; they paid 27 dollars, and 25 of that goes to the innkeeper 2 to the bellboy.

the room did NOT cost 30 dollars. Change 30 to 3000 to make the numbers look more implausible and have the gap become clearer.

Garrybl

Add 2 (Amount bellhop kept)= 27 27/3 =9

Here's the fallacy: The #30 should not be the primary focus.You have to go with the actual dollars spent and adjust from there.

Assume 30 = original dollars spent. Actual refund amount = 3 dollars. 30-3=27. The "5" is irrelevant.

The problem with the math in the example is that it credits the 2 dollars against amount paid. They didn't pay the bellhop an amount ABOVE the 27 dollars. He KEPT the amount that equaled the difference between 25 and 27. 2 dollars was the difference. NOT an additional fee on top of rent paid. Using the math that asks "where's the extra buck" implies that the 2 dollars was given as extra AFTER the refund.

To add the 2 dollars back into the total amount paid implies that the original debt was 32 dollars instead of 30.

Oh!

After a refund $25

each person paid roughly $8.34 or $8.33

Each person got $1.00 back even though they should have gotten $1.66 or $1.67

If you have the total of the reduced room. $25 plus the $3 that the people got back it knocks it up to $28....then add in the $2 the bell hop skimmed off the top. You get your $30

All may be right with your bottom line, but you'd better fire that bellboy!

LOL Suzer I would, but he's my brothers dad lol.

Forget the $30.

Cost of room = $25

Bellhop's take = $2

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3 people paid = $27

===

$27/3 = $9 each.

Cost of room = $25

Bellhop's take = $2

---

3 people paid = $27

===

$27/3 = $9 each.

Most people presume that each person has paid $9 and the bell boy has taken two, which adds up to 29, but one has to remember, and spin it on its head, and say that the room shoudl have cost $30 but was reduced to $25, so as others have said, the 3 people paying for the room have actually lost out on some money.

Good question by the way.

Roccotab(Level: 60.3 - Posts: 185)Tue, 1st May '07 8:33 AMHOW IS THIS POSSIBLE? IT DON'T ADD UPOk my brainstorming friends help me out. I know someone has the answer.

If 3 people go to a hotel in Philly, and find a room for 30 bucks (good luck), and they split the expense 10 bucks each. They get to their room, and the Inn keeper decides they are a pretty cool bunch, and decides 30 bucks was a bit steep (again good luck) so he decides to give them a discount and sends the bell hop to their room with 5 bucks, and tells him to return it to those nice folk (right). Anyway the bell hop decides hey I ain't giving them all this I think I will just give them a buck each, and keep 2 for myself (probably true).

With the bell hop returning 1 buck each to them now they have only paid 9 bucks each for the room instead of 10 correct? Are you still with me? So lets do the math, if they only gave 9 bucks each for the room 9x3=27, and the bell boy kept 2 bucks for hisself 27+2=29 what happened to the other dollar from the original 30 they paid.

Perplexed Rocco.