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?

Chesley

Chesley

Answered question

2021-01-06

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?

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-01-07Added 109 answers

To cut into 9 equal pieces, you need to cut 8 times so the total loss is: 8(18).=1.$$ 
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 
Each piece is 11 inches long.

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