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Shrinking Woolen

In the manufacture of woolens, it is found that when flannel is made weighing 8.14 oz. per yard in length, and shrinks 13.99 per cent. in finishing, 12.41 oz. of raw wool have been consumed for every yard of cloth; then how much wool per yard of cloth is consumed when the flannel weighs 7.43 oz. and shrinks 8.67 per cent.

Solution:

Source: E. Olney’s The Science of Arithmetic, 1876