Pregunta
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?'
Ask by Lindsey Davies. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Each of the 8 pieces of wood is 7 feet long.
Solución
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.
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Mind Expander
To find the length of the 8 identical pieces, we first need to determine the total length of these pieces combined. Since one piece is 16 feet long, we subtract this from the total length: 72 feet (total) - 16 feet = 56 feet. Now, we divide the remaining length by the number of identical pieces: 56 feet ÷ 8 pieces = 7 feet per piece. So, all the other 8 pieces are 7 feet long each!

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