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

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 setup 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,, =) 
3456

Would it be the same if u used 4 times x or it has to be 4x?

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

19ft, 81ft