# Missing pound!

kw72uk
Posers and Puzzles 04 Apr '05 10:04
1. 04 Apr '05 10:041 edit

3 men in café, have food, bill comes to £30 so they give waiter £10 each.
Apparently waiter got bill wrong - it should have been £25. So manager gives him £5 to take back to men.
He decides to pocket £2 and give them each £1 back (because they won't know).

How much therefore did each man pay? (£9 surely….£10 - £1 back?)
3 x 9 = 27
Plus £2 in waiter’s pocket = £29!

Where did other £1 go?

Edit: appalling grammar!
2. 04 Apr '05 10:451 edit
Originally posted by kw72uk

3 men in café, have food, bill comes to £30 so they give waiter £10 each.
Apparently waiter got bill wrong - it should have been £25. So manager gives him £5 to take bac ...[text shortened]... ocket = £29!

Where did other £1 go?

Edit: appalling grammar!
If this is a two-part question then the first part is easy. ðŸ˜µ

As for the secnd part, there is no missing pound.

You are wrongly assuming that 27 + 2 should equal 30.
\$27 has been paid out.
The cafe has \$25 and the waiter has \$2.
End of story.

Let the 3 men pay 3x
Let the overcharge be y
Let y be of the form 3n + k where k is the amount that the waiter keeps
The waiter gives back 3n to the men so that they have now paid 3x - 3n in total
The problem says that 3x - 3n + k should equal 3x
This is only true when k = 3n
But in your problem k = 2 and 3n = 3

.
3. 04 Apr '05 10:50
Originally posted by kw72uk

3 men in café, have food, bill comes to £30 so they give waiter £10 each.
Apparently waiter got bill wrong - it should have been £25. So manager gives him £5 to take back to men.
He decides to pocket £2 and give them each £1 back (because they won't know).

How much therefore did each ...[text shortened]... 9 = 27
Plus £2 in waiter’s pocket = £29!

Where did other £1 go?

Edit: appalling grammar!
Well for one thing the men paid a total of 27 /30 paid 3 returned/
(the bill was 25 and the waiter kept 2 so 25+2 = 27)
Now to look at it the other way around each paid 9 or 27 paid total,minus 2 taken by the waiter equals 25 = the bill.
So there is really nothing missing.
4. 04 Apr '05 11:18
Thanks ðŸ™‚
5. 04 Apr '05 11:20
Originally posted by THUDandBLUNDER
If this is a two-part question then the first part is easy. ðŸ˜µ

As for the secnd part, there is no missing pound.

You are wrongly assuming that 27 + 2 should equal 30.
\$27 has been paid out.
The cafe has \$25 and the waiter has \$2.
End of story.

Let the 3 men pay 3x
Let the overcharge be y
Let y be of the form 3n + k where k is th ...[text shortened]... 3n + k should equal 3x
This is only true when k = 3n
But in your problem k = 2 and 3n = 3

.
I think I already knew the answer to the first part.....I am indeed thick!! ðŸ˜•
6. 04 Apr '05 11:481 edit
Originally posted by kw72uk
I think I already knew the answer to the first part.....I am indeed thick!! ðŸ˜•
No, no, I was only joking. ðŸ˜€

(Well, half-joking anyway.)
7. 04 Apr '05 12:35
Originally posted by THUDandBLUNDER
No, no, I was only joking. ðŸ˜€

(Well, half-joking anyway.)
Who are you to say I'm not thick ðŸ˜

ðŸ˜€