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Greener Pastures

A problem supposedly posed by the great Isaac Newton:

Three pastures with grass of identical height, density, and growth rate are of size 3 1/3 acres, 10 acres, and 24 acres, respectively, If 12 oxen can be fed on the first pasture for 4 weeks and 21 oxen can be fed on the second for 9 weeks, how many oxen can be fed on the third pasture for 18 weeks?


Source: W. Fleming's College Algebra, 1988, p. 102