Can One Problem have too many solutions?

There may be many problems in a real life that do not have a unique solution!

A rich traveller gets hungry on the way. He couldn’t locate any food kiosk nearby but could only see two farmers under a tree. They were busily organising for their lunch. He pleads them for food which they happily agreed. Eventhough, one had four chapatis and the other had seven, they decide to share the eleven equally. The traveller ate his share and thanked the two farmers. As a token of gratitude, he gave them 47 gold coins and went way. The farmers wanted to share between them equitably but do not know how.

I and my friend, on seeing their predicament offered to resolve the issue. It is impossible to share equally (communism), even if had been possible. It should be equitable based on their asset (purely capitalistic). So, I give the farmer, who had 4 chapatis, 16; and the other who offered 7, 31 gold coins. What is the logic? With 8 coins, which I had, and the 47 given by the traveller, I buy all the chapatis, giving 20 to one and 35 to the other, at a cost of 5 coin a piece. After getting the chapattis, I divide the 11 into 33 pieces and distribute equally between the three of us, each one getting 11 a piece. I charge 4 coin to each of the farmers for giving 11 chapatis each. I take back my 8 coins. So, as a result, the farmers get 16 and 31! Perfect deal, right!

My friend disagreed with me. He says it is only fair to compensate more the person who has more asset for his past toiling. He decides to divide in proportion to the asset shared. He decides to give 7 to one and 40 to the other. He justifies as follows: each chapati has been divided into three parts to be shared between the three. The farmer who had 4 chapatis, from his 12 pieces had given one only to the traveller, that is 1/12 of his possession to the traveller; while the other farmer who had 7, from his 21 pieces could give 10 pieces to the traveller, that is 10/21 of his possession. So the coins should be shared in that proportion of sharing their possession, 1/12:10/21; that is 7/84:40/84, so the coins should be distributed in the same proportion, 7 and 40. He may be more capitalistic oriented.

An onlooker, who is a mathematician disagreed with both our resolutions and proposed to settle directly based on the goods purchased.

Total number of pieces : 33 (12 from 4 chapatis (A) and 21 from 7 chapatis (A). contribution to traveller is 1 from A whereas for B’s contribution it is 10. Return for contribution of A = 1/11 Return for contribution of B = 10/11. A should get 47/11 = 4.27 B should get 470/11 = 42.7. Rounding up to the nearest whole number, It should be distributed as 4 and 43!

The present day socialists of the other hand may decide to give 40 and 7 instead of 7 and 40 to compensate the economic disparity in the society (or even 43 and 7).

Or in a communistic country, the government may take over all the 47 coins and coerce somebody else to make chapatis…!!

Are there still any other solution?