Question

Mr. young has a piece of rope. He uses 1/4 of it to tie some boxes together. He then uses 5/9 of the remainder to make a jumprope for his daughter. After this, 120 centimers are left. What is the length of rope Mr. Young used to tie the boxes together?

Answer 1

We have:

x= the amount of rope.
x(boxes)= the amount of rope used to tie the boxes together.

Then, we have the following equation:

x-(1/4)x-5/9(x-(1/4)x)=120
(x-4/x)-(5x/9)+(5x/36)=120
(1/3)x=120
x=120x3
x=360 cm

x(boxes)=(1/4)360
x(boxes)=360/4
x(boxes)=90 cm

What is the length of rope Mr. Young used to tie the boxes together?
The lenght of rope Mr. Young used to tie the boxes together is: 90 cm.