Three friends go on a picnic.
John brings a loaf of sliced bread. Raj brings sliced tomatoes and Von brings a package of sliced cheese.
They make sandwiches and eat them. John’s sandwich has 2 slices of bread, 2 slices of Tomatoes and one slice of cheese. Raj makes a sandwich with 2 slices of bread, 4 slices of tomatoes and 3 slices of cheese. Von’s sandwich contains 2 slices of bread, 2 slices of tomatoes and 4 slices of cheese.
Now an old acquaintance Sergio drops by and is hungry. They offer him their food.
He makes 2 sandwiches using 4 slices of bread and 1 slice of tomato, no cheese.
He is happy and before he leaves he gives them 6 pesos as a goodwill gesture.
“How should we divide this?” asks John.
“Well he only ate bread and tomato so John and I should get it” declared Raj.
“That is not fair. You guys ate lot of my cheese” complained Von.
They could not resolve the division of money issue so they found a mathematician friend and asked him to decide.
“How much did it cost you to get the food? Give me details” He said.
John: "My loaf of bread had 12 slices and cost me 12 pesos"
Raj: "I bought 2 tomatoes for 10 pesos each and cut out 10 big slices"
Von: "I bought a packet of cheese slices for 20 pesos and had 10 slices"
Then they also told the mathematician how much they all ate.
The mathematician rendered his verdict: “You all should share the 6 pesos equally”
What logic did he use? Do you agree?