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RE: Three men went into a pub

If the bill is 5 shillings too much, the 3 men need to divide the 5 between themselves. Everyone gets back or rewritten. As a customer you pay 10 and get back. Effectively you pay.

The final bill per person is . Lets reverse. (even more simplified: and ) original bill was 30 with the 5 reduction makes it 25.

Now the waiter pockets 2 shillings. He burdens 3 people with 2 shillings. Thus every man donates an extra for the waiter. Lets double check . Indeed waiter gets 2 extra.

The first statement is correct. Every man pays 9 shillings. and a bonus burden of making it an even 9 per person.

The second statement is incorrect. They did not pay 30. They paid 27. Officially 25, but an extra 2 donation to the waiter makes it a final bill of 27.

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Great deduction!

When I figured out the solution, I was in the middle of driving.
I, too, realized the men didn't actually pay 27 shillings, they paid 25 shillings.
25/3 = 8 1/3
Then each had 1 shilling returned, so they paid effectively 9 1/3 shillings. That is 28, plus the 2 the waiter stole, =30

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