Question

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?

Equation, expression, and inequalitie
ANSWERED
asked 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?

Answers (1)

2021-01-07
To cut into 9 equal pieces, you need to cut 8 times so the total loss is: \(\displaystyle{8}\cdot{\left(\frac{{1}}{{8}}\right)}\in.={1}\in.\$\$\)
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.
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...