Hens, Pigs, & Ducks Riddle (Part II)

Once upon a time, there was a merchant selling livestock in a market: hens, pigs, and ducks. Each hen cost 27 shillings. Each pig cost 29 shillings. Finally, each duck cost 34 shillings.

Then there were three farmers coming to buy these animals in different trades:

  • The first farmer bought some hens and pigs, but no ducks.
  • The second farmer bought some pigs and ducks, but no hens.
  • The third farmer bought some ducks and hens, but no pigs.

Nonetheless, each of them paid the same non-prime total price for each trade.

What would be the least possible total price, in shillings, for each farmer?


The answer is 305.

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