Earlier today I set you the following puzzles about dividing up food, inspired by the Lwów school of mathematics, a group of mathematicians who lived in the city that is now Lviv in the 1930s.
1) Three friends each contribute £4 to buy a £12 ham. The first friend divides it into three parts, asserting the weights are equal. The second friend, distrustful of the first, reweighs the pieces and judges them to be worth £3, £4 and £5. The third, distrustful of them both, weighs the ham on their own scales, getting another result.