Lucy has 9 pieces of wood. The total length of all the pieces is 72 feet. 8 of the pieces are the same length 'and one piece is 16 feet long. How long are all the other pieces?'

Let's denote the length of each of the 8 pieces of wood that are the same length as \( x \) feet. Given: - Total length of all pieces = 72 feet - 8 pieces are the same length, denoted as \( x \) feet - One piece is 16 feet long We can set up the equation based on the total length of all the pieces: \[ 8x + 16 = 72 \] Now, we can solve for \( x \) to find the length of each of the 8 pieces of wood. Solve the equation by following steps: - step0: Solve for \(x\): \(8x+16=72\) - step1: Move the constant to the right side: \(8x=72-16\) - step2: Subtract the numbers: \(8x=56\) - step3: Divide both sides: \(\frac{8x}{8}=\frac{56}{8}\) - step4: Divide the numbers: \(x=7\) The length of each of the 8 pieces of wood is 7 feet. Therefore, all the other pieces of wood are 7 feet long.