Question

Sanjay had a rope. He used I/4 of it to tie some boxes together. He then
used 5/9 of the remainder to make skipping rope for his daughter.
120 im of the rope was of left what
was the length of the rope he used
to tie his boxes together?​

Answer 1

Answer:

90 m

Step-by-step explanation:

Suppose the length of the rope is : x

And then Sanjay uses 1/4 of the rope to tie the boxes =x/4

Rope left after tieing the boxes = x- x/4=3x/4

5/9 part used to make a skipping rope =

3x/4*5/9 =15x/36=5x/12

The rope which finally left = 3x/4 - 5x/12= 4x/12= x/3 =120 m

Since, x/3 =120 m

x=120*3 m

Therfore, x=360 m

The length of the rope used to tie the boxes = x/4 = 360/4 = 90 m

Answer 2

Let the length of the rope be x

Rope used by Sanjay to tie boxes = 1/4

Remaining = 1 - 1/4 = 3/4

Rope used for making a skipping rope = 5/9 of the remainder

= 3/4 × 5/9

=5/12

Total used = 1/4 + 5/12

=8/12

ATQ ,

1/3 = 1200

120 × 3 = 360

360 ÷ 4 = 90