Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**quinton28****Member**- Registered: 2007-03-04
- Posts: 2

If 3 men have $10 each and buy a $25 meal and the waiter can't split the $5 change so pockets $2 and gives the diners back$1 each this means the diners have spent $27 in total. The meal costs $25 and the waiter has $2.

Facts, the diners had $10 each, they now have $1, they have spent $9 each 3 x 9 = 27. But 3x9=27 and +3 +2=32? Now there are $2 from nowhere as the restraunt has $25.

So at the end of the meal,

The restraunt has $25.

The diners have $3

The waiter has $2

This adds up to $30

However I am certain that if I received $1 change from $10 I would assume that I had spent $9.

So 3x9=27+3=30+2=32 as the restraunt has $25, the diner have spent $9 each and the waiter has $2.

This is a tricky one, and i am sure it will keep my friends and family occupied for ages.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Wheres the problem? I dont see any problem there.

Before the meal, the men have $30, the restaurant/waiter has $0. After the meal, the men have $3, the restaurant/waiter has $27. They should have spent $25 but because waiter doesnt have the change, they spend $27 $2 more instead. $25 goes to the restaurant for the meal and the waiter keeps $2 for himself.

So whats the problem?

*Last edited by JaneFairfax (2007-03-04 14:09:47)*

Offline

**pi man****Member**- Registered: 2006-07-06
- Posts: 251

That's a classic puzzle. It's usually written something like below:

Three ladies go to a restaurant for a meal. They receive a bill for $30. They each put $10 on the table, which the waiter collects and takes to the till. The cashier informs the waiter that the bill should only have been for $25 and returns $5 to the waiter in $1 coins. On the way back to the table the waiter realizes that he cannot divide the coins equally between the ladies. As they didnt know the total of the revised bill, he decides to put $2 in his own pocket and give each of the ladies $1.

Now that each lady has been given a dollar back, each of the ladies has paid $9. Three times 9 is 27. The waiter has $2 in his pocket. Two plus 27 is $29. The ladies originally handed over $30. Where is the missing dollar?

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

pi man wrote:

Now that each lady has been given a dollar back, each of the ladies has paid $9. Three times 9 is 27. The waiter has $2 in his pocket.

Two plus 27 is $29.The ladies originally handed over $30. Where is the missing dollar?

Now youre confusing me even more. Why do you plus 2 to the 27? The $27 **includes** the $2 that the waiter deviously pockets for himself, so what for add 2 to it?

See,

$27 = $25 + $2

(amount spent by the ladies) (price of meal) (unreturned change)

Please explain to me why you need to add 2 to 27 because this is getting on my nerves.

*Last edited by JaneFairfax (2007-03-05 03:03:30)*

Offline

**Maelwys****Member**- Registered: 2007-02-02
- Posts: 161

JaneFairfax wrote:

Now youre confusing me even more. Why do you plus 2 to the 27? The $27

includesthe $2 that the waiter deviously pockets for himself, so what for add 2 to it?See,

$27 = $25 + $2

(amount spent by the ladies) (price of meal) (unreturned change)Please explain to me why you need to add 2 to 27 because this is getting on my nerves.

And that's exactly the point of the riddle. By phrasing it the way that Pi did (as the riddle does), it tricks the listener into thinking that there's money missing. But as you picked up on, there isn't any money missing at all, because applying the numbers in that way is false logic. But if you don't realize that right away, it can be a tricky puzzle, trying to figure out where the "missing dollar" went.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Ah. So its not a puzzle at all. Its just doing arithmetic in illogical ways.

Offline

**lightning****Real Member**- Registered: 2007-02-26
- Posts: 2,061

i got one i have $1 i lost $2 where did the pound come from

Zappzter - New IM app! Unsure of which room to join? "ZNU" is made to help new users. c:

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

I don't know where it came from, but this is the guy who received it:

Why did the vector cross the road?

It wanted to be normal.

Offline

**lightning****Real Member**- Registered: 2007-02-26
- Posts: 2,061

his dad told him to put it in the bank but he lost two pounds

Zappzter - New IM app! Unsure of which room to join? "ZNU" is made to help new users. c:

Offline