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Yeah I can answer this Quite doubtful
Debate Score:11
Arguments:7
Total Votes:11
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 Yeah I can answer this (7)

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Amritangshu(892) pic



This is a brain teaser,see if you can answer this,look inside

 Question -------   3 men go into a motel. The receptionist tells them the room will be $30. Each man pays $10 before going to the room. The clerk then realizes that they were given only a $25 room, and sends the bellhop to the room with $5. The bellhop keeps $2 [as a tip?] and each man gets $1 back, ending up paying only $9 for the room. Three times $9 is $27. With the $2 the bellhop kept, that's only $29. Where's the missing dollar?

 

Yeah I can answer this

Side Score: 11
VS.

Quite doubtful

Side Score: 0
2 points

the scenario is perfectly sound.

however.

amount paid per man for room: 25/3

amount paid per man to bellhop: 2/3

25/3+2/3=27/3=$9.

9x3=27

then there is a dollar for each man given by the clerk

27+3=30

no missing dollars

it isn't 9 dollars each for the room, its 9 dollars each for the room and the bellhop, +the 3 in their pockets

Side: Yeah I can answer this

It's just misleading wording. There is no missing money.

I'll be overly elaborate for the scenario. H=Hotel funds, V=Visitor funds, B=Bellhop funds.

H+V+B=$30.

Initially, no money is spent, and the visitors have it all.

H=$0, V=$30, B=$0

H+V+B=$30

Next, $30 is paid to the hotel for the room.

H=$30, V=$0, B=$0

H+V+B=$30.

But the room actually cost $25; the Bellhop is given the $5 dollar refund to take to the visitors.

H=$25, V=$0, B=$5

H+V+B=$30.

The bellhop can't split $5 three ways, so he gives each visitor back $1, totalling $3, while keeping $2 as a tip.

H=$25, V=$3, B=$2

H+V+B=$30

Each visitor at this point will have spent $9 TOTAL- ~$8.33 of this went towards the room, and ~$0.67 of this went towards the bellhops tip. This $27 figure already includes the bellhops tip (remember, the room was $25), and the 'missing' portion of the original $30 ($3, not $1) will be found in the $1 bill in each of the visitors wallets.

Side: Yeah I can answer this
2 points

Did it a more amateurish way but Nomoturtle is absolutely correct. I'm very impressed. The Bellhop's $2 was the spanner in the works.

Side: Yeah I can answer this
2 points

$30 original price of room, split 3 ways, $10 each.

-2 for the bellhop

-3 for each patron, leaving $9 each.

=$25 No problem

Side: Yeah I can answer this

Well I'll wait for more answers before I sell out the right one ,I want more answers even if it's wrong

Side: Yeah I can answer this

The Bellhop's tip $2 should not be added but subtracted from total paid $27 to obtain the price of the room $25

Side: Yeah I can answer this
1 point

Each man paid a sum of 9$ to the hotel.

While they should have paid 8+1/3 each.

They overpaid 2$ totally, that amount was taken by the bellhop.

Side: Yeah I can answer this
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