# Saw a board 8 ft 4 in. long into nine equal pieces. If the loss per cut is 1/8 in., how long will each piece be?

Saw a board 8 ft 4 in. long into nine equal pieces. If the loss per cut is 1/8 in., how long will each piece be?
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Alix Ortiz
To cut into 9 equal pieces, you need to cut 8 times so the total loss is: $8\cdot \left(\frac{1}{8}\right)\in .=1\in .\mathrm{}\mathrm{}$
Let x be the length of each of the 9 equal pieces so that the sum of their lengths plus the total loss is 8 ft 4 in. or 100 in. long:
9x+1=100
9x=99
x=11
So, each piece is 11 inches long.