Posted by **Jacob** on Thursday, August 26, 2010 at 1:33am.

Kate cut a 100-foot rope into two pieces. One piece was 5 feet longer than 4 times the length of the other. Find the length of each piece.

- Algebra -
**jai**, Thursday, August 26, 2010 at 4:41am
first, represent the unknowns:

let x = length of the 1st piece

let 4x + 5 = length of the 2nd piece (as the second statement of the problem says)

then set-up equation:

x + (4x + 5) = 100 *total length of the two pieces must be 100 ft

solve:

5x + 5 = 100

5x = 95

x = 19 ft

4x + 5 = 81 ft

so there,, =)

- Algebra -
**Anonymous**, Sunday, October 9, 2011 at 2:45pm
3456

- Algebra -
**NARUTOISAWESOME**, Friday, October 26, 2012 at 11:13pm
Would it be the same if u used 4 times x or it has to be 4x?

- Algebra -
**giselle**, Saturday, September 14, 2013 at 12:19pm
A 23 inch rope is cut into 4 pieces.the first piece is 3 inches longer than the other three pieces of rope .what is the length of the longest piece of rope

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