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Another ancient math word problem…?

Eight rubies, ten emeralds, and a hundred pearls, which are in thy ear-ring, my beloved, were purchased by me for thee at an equal amount; and the sum of the prices of the three sort of gems was three less than half a hundred; tell me the price of each, auspicious woman.

Let R=Price of rubies
E= Price of emeralds
P= Price of pearls

R+E+P=47 (the sum of the prices of the three sort of gems was three less than half a hundred).
8R=10E
10E=100P (which are in thy ear-ring, my beloved, were purchased by me for thee at an equal amount).

R+E+P=47
8R-10E=0
10E-100P=0

After solving:

R=25
E=20
P=2

So the price of rubies is 25, the price of emeralds is 20, and the price of pearls is 2.

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