A Very "Interesting" Problem (If you have too much time)

Algebra Level pending

Compute the number of cattle of the Sun, who are divided into 4 herds of different colours, one milk white, another a glossy black, a third yellow and the last dappled. In each herd were bulls. The white bulls were equal to a half and a third of the black together with the whole of the yellow, while the black were equal to the fourth part of the dappled and a fifth, together with once more, the whole of the yellow. Observe that the remaining bulls, the dappled, were equal to a sixth part of the white and a seventh, together with all of the yellow. The white were precisely equal to the third part and a fourth of the whole herd of the black; while the black were equal to the fourth part once more of the dappled and with it a fifth part, when all, including the bulls, went to pasture together. Now the dapple in four parts were equal in number to a fifth part and a sixth of the yellow herd. Finally the yellow were in number equal to a sixth part and a seventh of the white herd. So how many cattle were there?

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