Eight Coins for the Surveyor's Lunch

Two farmhands, Anya and Boris, sit down to lunch just as a traveling surveyor asks to join them. Anya has brought 55 flatbreads and Boris 33; they pool all 88, and the three of them eat exactly equal amounts. Afterward the grateful surveyor leaves 88 copper coins to pay for his share. Anya suggests splitting the coins 5:35{:}3 to match what each packed. What division is actually fair — proportional to how much bread each farmhand gave the surveyor?

Answer

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