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?

Question

Mathematics

Lydia Dorsey

12 November, 02:41

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?

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Answers (1)

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Fritz · 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.