Posted by **StuartKess** on Saturday, October 15, 2011 at 8:54am.

A piece of rope is cut into three pieces in the ratio 2:7:11. If the longest piece is 72cm longer than the shortest piece, find the length of the original rope.

Ps: how do I do this type of question?

What are the fixed steps?

- Math -
**Jai**, Saturday, October 15, 2011 at 9:16am
first represent the unknowns using variables:

let 2x = shortest piece

let 7x = 2nd longest piece

let 11x = longest piece

from the second statement, the longest piece is 72 longer than the shortest:

11x = 72 + 2x

solving for x,

11x - 2x = 72

9x = 72

x = 8

the length of the original rope is the sum of all lengths:

2x + 7x + 11x

20x = 20*8 = 160 cm

hope this helps~ :)

- Math -
**StuartKess**, Saturday, October 15, 2011 at 9:48am
Thanks!!! :) is there any shorter ways? :)))

- Math -
**StuartKess**, Saturday, October 15, 2011 at 9:55am
Why 72 + 2x = 11x ?

Would you be able to list some of the common sentences for forming this type of equations? Thanks!! :)))

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