Can you solve this mathematical mystery?

[cyrus buelton]

Three businessmen decide to get a hotel for the night. They are told by the inn keeper the cost is 30$ for the room. They each pay the inn keeper with a 10$ bill.

The inn keeper then realizes the hotel room is only 25$ and  he has over charged the men, but is not sure how to refund the money the money based on the amount and it being among 3 people.

So he decided to give each man a dollar back (3 total) and keep 2$ for himself. This adds up to the 5$ refund.

However, explain this:

Each man paid 9$ and the inn keeper kept 2$


9 x 3 = 27
Innkeep = 2

That is 29.



Where the make the beast with two backs is the other dollar?

[SacDuc]

I was told there would be no math.

sac

[ducati_tim]

Three businessmen decide to get a hotel for the night. They are told by the inn keeper the cost is 30$ for the room. They each pay the inn keeper with a 10$ bill.

The inn keeper then realizes the hotel room is only 25$ and  he has over charged the men, but is not sure how to refund the money the money based on the amount and it being among 3 people.

So he decided to give each man a dollar back (3 total) and keep 2$ for himself. This adds up to the 5$ refund.

However, explain this:

Each man paid 9$ and the inn keeper kept 2$


9 x 3 = 27
Innkeep = 2

That is 29.



Where the make the beast with two backs is the other dollar?

The innkeeper actually kept $27 ($25 for the room plus $2 extra). The salesmen kept $3. $27 plus $3 = $30

[cyrus buelton]

The innkeeper actually kept $27 ($25 for the room plus $2 extra). The salesmen kept $3. $27 plus $3 = $30

Right, I am aware of that.

However, the men each got back 1$, so each had paid 9$.


9 x 3 = 27


The inn keeper kept 2 dollars.



The math does not add up when you do it on paper.

[Mother]

So he decided to give each man a dollar back (3 total) and keep 2$ for himself. This adds up to the 5$ refund.

no it is a 3 dollar refund

he is failing to give the men their 66.6 cents

because he is a make the beast with two backsing thief

[SacDuc]

Right, I am aware of that.

However, the men each got back 1$, so each had paid 9$.


9 x 3 = 27


The inn keeper kept 2 dollars.


(
The math does not add up when you do it on paper.

Okay, fine then.

((30 - 3)/3) -2     + 3       +2     =     30
 Room Cost       Refund    Kept        Total

[DucLeone]

Right, I am aware of that.

However, the men each got back 1$, so each had paid 9$.


9 x 3 = 27


The inn keeper kept 2 dollars.



The math does not add up when you do it on paper.

the 2 dollar tip is part of the 27
27-25(room)=2 tip

[ducati_tim]

This is a case of misdirection. The two dollars should be subtracted, not added, from the total:
($10 - $1) x 3 - $2 = $25

[SacDuc]

This is a case of misdirection. The two dollars should be subtracted, not added, from the total:
($10 - $1) x 3 - $2 = $25

+1


Wait. That would make it $26. Now I'm confused. When is recess?

[ducatiz]

$30-$5=$25
$25/3=$8.3333
$8.3333+1=$9.33333
$9.3333*3=$28.00
$28.00+2=$30

the flaw is using 30-3 to signify the refund.  the refund is $5 and innkeeper is stealing $2 of it.

Thus, the charge to the biznizmen is $8.333- which is $25 total (yes, one of them is on the hook for 0.3334 cents).  Add the dollar refund that they DID receive back in and you have $28 (27.99999) now add the stolen $2 in and you have $30 (29.99999)

[SacDuc]

$30-$5=$25
$25/3=$8.3333
$8.3333+1=$9.33333
$9.3333*3=$28.00
$28.00+2=$30

Huh?  What is the +1?

[ducpainter]

Huh?  What is the +1?

The refund....

[SacDuc]

The refund....

Ah. Got it. I'm dumb. But I have to say, this is the best tasting paste I have ever eaten.

sac

[Grampa]

three guys on a business trip, in a cheap motel  

the other dollar went towards lube

[SacDuc]

three guys on a business trip, in a cheap motel 

the other dollar went towards lube

Anal?