My Favorite Paradox.

[Kaelan]

9x3 + 2 = 29.

quoted the misleading part

the "+2" is part of the 27 manager already has, you can't add it again.
And the $3 the guys had wasn't even mentioned into this, but you forget about it because of the "9x3"

27+3 = 30

I don't know why people are bringing fractions into this

[Millael]

This one works a lot better when spoken and not written.

[netz]

9x3 + 2 = 29.

quoted the misleading part

the "+2" is part of the 27 manager already has, you can't add it again.
And the $3 the guys had wasn't even mentioned into this, but you forget about it because of the "9x3"

27+3 = 30

I don't know why people are bringing fractions into this

'cause it's a valid explanation? Both adequately correct the deceptive part.

[Grievear]

Here is how I solved it.

25 for the room. 25/3 = 8.333 Each.

8.3333 + 1 Each = 9.3333 each.

9.3333x3 = 28

28+2 = 30

The question is just worded to make you look at the problem incorrectly because they say each person payed 9. Which isn't true.

[Kaelan]

'cause it's a valid explanation? Both adequately correct the deceptive part.

overcomplicating the problem, nobody ever has fractions of a dollar at any time

so easy to con people like this, they get lost doing math they dont need to do(i.e. "25/3 = ?", "28/3 = ?") get overwhelmed and lose track of how much they're actually missing

The question is just worded to make you look at the problem incorrectly because they say each person payed 9. Which isn't true.

^-- that's what happens lol

they did pay $9

I'll run it down again, quick:

Manager got $30

Manager returned 25$. Guys have 5$ now

Manager gets 2 back. Manager has 27 now. Guys have 3$

The manager has at this point, 27, or $9 from each one of the 3 people. The guys in the problem still have $3.

27 + 3 = 30
(or 3 x 9 + 3 x 1 = 3 x 10)

Everything else is meant to mislead you

dollars weren't split at any point in time ;p

[Nayr]

It's not complicating at all:
they each paid the manager 9 dollars
9x3= 27
they all got a dollar back:
1x3=3
Add it together:
27+3=30
my little brother figured this out in like 15 seconds

[Bartylby]

My favorite pair-a-ducks

http://xs413.xs.to/xs413/07123/ducks.jpg

heyyyyyyyyyyyyyyyyy wakka wakka


sorry, all these math equations were hurting my head and the thread needed some lightening up

[netz]

'cause it's a valid explanation? Both adequately correct the deceptive part.

overcomplicating the problem, nobody ever has fractions of a dollar at any time

so easy to con people like this, they get lost doing math they dont need to do(i.e. "25/3 = ?", "28/3 = ?") get overwhelmed and lose track of how much they're actually missing

They don't? Nobody carries change around? :D

Just kidding, I see how your solution is the actual correct one.

[Nayr]

Three people rent a hotel room for the night. They pay $10 each, for a total of $30
The manager realizes that the room actually cost $25, so he walks up to the room and gives them back $5.
They each take $1, and give the manager the remaining $2
This means that each person paid $9, and the manager got $2.
*9x3 + 2 = 29.* Where'd the last dollar go?

the question is worded wrong it should be a plus three

[Koga]

Why is this complicated? *shrug*
10 x 3 = 30
30 - 5 = 25
25 + 3 = 28 (They all paid 9.33333 not 9)
28 + 2 = 30.

[Kaelan]

Why is this complicated? *shrug*
25 + 3 = 28

Three people rent a hotel room for the night. (...) The manager realizes that the room actually cost $25, so he walks up to the room and gives them back $5.
They each take $1, and give the manager the remaining $2

that's why

[Gregorio]

I just did this with real dollar bills, and when I got to the last part one dollar fucking disappeared.

CURSE YOU, MATH!

[Syn]

http://img401.imageshack.us/img401/4787/paradoxnf4.jpg

[Khamsin]

I like how people are still thinking people paid $9.33.

Everyone paid $9, not $9.33, and explaining it in any way that mentions people paying $9.33 is NOT "another way to solve the problem".

There are no fractions involved, and there can never be any fractions involed in any satisfactory answer to the problem.

The $2 they guy gets back is $2 he already had.

Three people, ABC give $10 each to Z.

A = -10 (10 dollar debt)
B = -10
C = -10

Z = +30

Notice all the money in the system adds up to 0 (-30 + 30). Everything is accounted for.

Z then takes 5 out.

A = -10
B = -10
C = -10

Z = +25
Unclaimed = 5

Everything still adds up to 0 (-30 + 25 + 5), so we're still ok.

Of that 5, he gives 3 to ABC.

A = -9
B = -9
C = -9

Z = +25
Unclaimed = 2

Everything still adds up to 0 (-27+25+2).

Z gives himself that 2 back.

A = -9
B = -9
C = -9

Z = +27

Everything still adds up to 0 (-27+27).

No fractions, no disappearing money, no problems.

[Syn]

It's not even a fucking paradox, just someone who messed up on the last line.

$30 - $3 he returned = $27

$27 / 3 = $9, that's how much everyone paid. End of story.

[Septimus]

This isn't a paradox, it's just a trick question.

A paradox would be like:

Superman has a date with Lois Lane, and is going to leave to meet her at Midnight. At 11:59:00 he combs his hair so that the part is on the left hand side. At 11:59:30 he changes his mind and combs his hair so that the part is on the right hand side. At 11:59:45 he changes his mind again and combs his hair so that the part is on the left hand side. At 11:59:52.5 he changes his mind yet again and combs his hair so that the part is on the right hand side. If at half of the time of the last combing he changes his mind and moves the part in his hair, what side will the part be on at Midnight?

P.S. It's been a while since my paradox course in college, so I don't remember the real solution.

[VZX]

Paradox has a solution?

[Septimus]

Paradox has a solution?

Most do.

[kuronosan]

10 x 3 = 30
30 - 5 = 25
25 + 3 = 28 (They all paid 9.33333 not 9)
28 + 2 = 30.

Because you're overcomplicating it.

3 guys x $10 = $30

Manager gives $5 back, takes $25.

$30 - $25 = $5 refund

Guys take $1 each, give the manager $2.

$25 + $2 = $27 paid.

$27 + $3 they kept = $30.

Who gives a damn how much they paid each? There is no extra dollar.

[VZX]

Paradox has a solution?

Most do.

I thought people would call them as 'explanation'.