Question

234 inch board is to be cut into three pieces so that the second piece is four times the length of the first piece and the third piece is eight times the length of the first piece find the length of each piece

Answer 1

Let the length of the first piece be "x", second piece be "y" and third piece be "z".

Total length is 234 inches, so we can write:

`x+y+z=234`

Also,

• Second piece is 4 times the first piece, ,we can write:

`y=4x`

• Third piece is 8 times the first piece, ,we can write:

`z=8x`

Substituting these 2 equations into the first equation, we will have an equation in x. Then we solve for x. Shown below:

`\begin{gathered} x+y+z=234 \\ x+4x+8x=234 \\ 13x=234 \\ x=18 \end{gathered}`

Consequently, we can find y and z >>>>

y = 4x

y = 4(18)

y = 72

and

z = 8x

z = 8(18)

z = 144

Answer

First Piece = 18 inches

Second Piece = 72 inches

Third Piece = 144 inches