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 rope of the others. He cut the three pieces from a rope 54 meters long with any rope left over. Fine the answer of meters in each piece. [Show or explain the procedure used to obtain the answer.]

Answer 1

Let L be the length of the two long ropes. The third rope has length L/4

The total length of all three ropes is
2 1/4 L = 9L/4 and that equals 54 m

If 9L/4 = 54, then

L/4 = 6 m

One more step.

Answer 2

L=24 METERS

Answer 3

Let x be the length of the first two ropes and 1/2 x be the length of the third rope (Because the problem says that the 3rd rope is 1/4 the length of EACH of the other ropes. So we add, 1/4 + 1/4= 2/4 or 1/2)

x+x+1/2x= 54
2 1/2x=54 or 5/2x=54

x= 54 multiplied by 2/5 (Transposition)
x= 21 3/5 or 21.6

If we substitute this, then the values will be
21.6, 21.6 and 10.8

If you add those you will get 54