Question

April 25 ft long has got into three pieces. it's a first rope is 2x feet long, the second piece is 5X feet long, and the third piece is 4 ft long. A) Write an equation to find X.B) Find the length of the first and second pieces.

Answer 1

Given:

The length of the total rope = 25 ft

It is divided into three pieces

it's the first rope is 2x feet long, the second piece is 5X feet long, and the third piece is 4 ft long.

A) Write an equation for x.

The equation will be:

`2x+5x+4=25`

Which can be simplified to :

`7x+4=25`

so, the equation is 7x + 4 = 25

B) Find the length of the first and the second pieces

First, we will solve the equation to find x

`\begin{gathered} 7x=25-4 \\ 7x=21 \\ \\ x=(21)/(7)=3 \end{gathered}`

So, the length of the first piece = 2x = 6 ft

The length of the second piece = 5x = 15 ft