Question

Jack is putting up new shelves. He is using pieces of wood as shown below. Each piece of wood measures 3 1/5 meters long. Jack has 8 pieces of wood that are the same length. A. Write an equation to show how to find the total length, in meters, of the 8 pieces of wood. Jack said that the total length of the 8 pieces of wood is 24 1/5 meters. Is Jack correct? Why or why not? B. Along with the wood, Jack is also using some nails to build the shelves. One box of nails has a mass of 2 3/4 kilograms (kg). Jack used between 1/2 and 3/4 of the nails in the box. How many kilograms of nails did Jack use to build the shelves? Show your work or explain your answer. Type your answer in the box below. Make sure to label each part with A and B.

Answer 1

A)

3 1/5=3+1/5

`x=8(3+(1)/(5))`

Where x is the total length of the 8 pieces of wood.

Then,

`\Rightarrow x=24+(8)/(5)=25+(3)/(5)`

Jack is not correct; he just multiplied 8*24 rather than 24*(8 1/5)

B)

`\begin{gathered} (1)/(2)(2+(3)/(4))=1+(3)/(8) \\ \text{and} \\ (3)/(4)(2+(3)/(4))=2+(1)/(16) \end{gathered}`

Then, Jack used between 1+3/8 kg and 2+1/16 kg of nails