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"A riddle for you"

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Thu 17/11/05 at 23:11
Regular
Posts: 20,776
3 hung over students go for breakfast at a cafe.

They each order the same - a full english breakfast and a pot of coffee.
This comes to exactly £5.00 each, totalling £15.

At the end of the meal, they each throw in a £5 note and give it to the waitress. She takes the £15 to the till, where the manager informs the dozy mare that there is a special offer on today only - full english and a pot of coffee for £4.

The waitress puts the money into the cash drawer and takes out 5 pound coins. She walks back to the table and gives each of the 3 students a pound back. Being a thieving gypsy, she then pockets the remaining 2 pound coins.

To summarise - the students, having received a quid back each, have paid £4 each for their meals.

3 x £4 = £12

The tea leaf waitress pocketed £2

£12 + £2 = £14

Where has the other pound gone?
Fri 18/11/05 at 00:37
Regular
Posts: 8,220
I like to think of it as 'which side of the equation' the £2 that the waitress stole should be on.

Beacuse essentially, as Dringo says, the puzzle is about keeping track of where you should be adding and subtracting the money.

Hence:

Ammount paid by group = Ammount in til + Ammount half-inched by tea leaf

(just to confuse matters more ;^) )


So:

£15 Paid originally = £10 in til + £5 taken out by waitress


Then:

£12 paid = £10 in til + £2 in pocket




I like the puzzle as it teaches you the imporance of actually thoroughly understanding what's happening in a mathematical problem, instead of just moving the numbers in a way that seems right. Sometimes easier said than done.


This kind of 'slight of reasoning' is also used in a scam where you go into a shop and buy something of small value with a note, then try to make up the money with change, and in the confusion', you come out ahead.

Someone tried it on me once when I was working in a petrol station a few years ago. It was only because I knew of the move already that it didn't work on me.
Even then I wasn't convinced the guy had actually done it intentionally (he pulled it off very smoothly, obviously well practiced!). Although when I told him 'that doesn't work', the way he tripped over himself apologising and getting out of the shop suggested he might have known what he was doing.
Thu 17/11/05 at 23:34
Regular
Posts: 18,185
I did this in GCSE. It had me stumped actually. I could do the "Microsoft puzzle" in 60 seconds, yet this one had me going for weeks.

As it happened everyone else got it and I didn't.
Thu 17/11/05 at 23:33
Regular
Posts: 20,776
My work here is done.
Thu 17/11/05 at 23:32
Regular
Posts: 18,185
ARGH! There is no missing pounds.

The kids paid £12... we've counted that... the "£2" has nothing to do with it. She just nicked it from the till.
Thu 17/11/05 at 23:30
"Tesco value"
Posts: 992
They did have a chip and pin machine at one point though, it got broke and they're still waiting for a replacement.



sorry
Thu 17/11/05 at 23:30
Regular
Posts: 20,776
Rozza

Already seen that thanks. Read 'The Three Stigmata of Palmer Eldritch', that'll keep you thinking.
Thu 17/11/05 at 23:29
"Tesco value"
Posts: 992
yeah, I guessed she had stolen a quid from the till, it just to me seems like a poor riddle
Thu 17/11/05 at 23:28
Regular
Posts: 18,185
It is a very famous riddle actually.


And it is about counting money twice.

In your story you say that the students paid £12. The £2 is part of that, it is arbitury (Sp).

The two pounds that the waitress has kept is part of the 15 pounds that was in the till - it is not different money, so it can't be added to the £12 the customers have paid.

See? Counting money twice.
Thu 17/11/05 at 23:27
"Tesco value"
Posts: 992
still confused
Thu 17/11/05 at 23:26
Regular
"I got a great Idea"
Posts: 236
watch donnie darko, that'll mess you up

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