Question

Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be? _________ ft

Answer 1

140= x +3x
140 =4x
140/4= 4x/4
35= x
3x= 105
The length of the longer piece is 105 feet

Answer 2

The length of the longer piece is 35 feet.

Explanation:

Let the length of the longer piece is x

Hence, length of the shorter piece is 3x

Now, the length of the rope is 140 ft. Thus, we have the equation

`x+3x=140`

Add the like terms.
`x+3x=4x`

`4x=140`

Divide both sides by 4

`x=35`

Therefore, the length of the longer piece is 35 feet.