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January 30, 2015

January 30, 2015

Posted by **ss** on Saturday, March 30, 2013 at 11:25pm.

first piece of rope is twice as long as the second

piece of rope. The third piece of rope is three

times as long as the second piece of rope.

What is the length of the longest piece of rope?

- algebra -
**Khaled**, Sunday, March 31, 2013 at 5:52amLet the three pieces of the rope be x,y, and z respectively.

1) x=2y

2) z=3y

(Note: We deduce from these 2 equations that the longest part we want to find is z)

3) x+y+z=120

Substitute 1) and 2) in 3)

Hence we get: 2y+y+3y=120;

6y=120 ==> y=20 ft

Therefore, z=3y=60 ft

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