Question

Vincent has cut three pieces of rope to complete a science project. two pieces are of equal length. the third piece is one-quarter the length of each of the others. he cut the three pieces from a rope 54 meters long without any rope left over. find the number of meters in each piece.

Answer 1

Let the length of the 2 equal pieces be x m. Then the length of the third piece = 0.25x m.
So we have the equation:-

2x + 0.25x = 54

x  = 54 / 2.25 =  24  


So the length of the 3 pieces are 24,24 and 6 meters.