A 64m long rope is cut into 3 pieces The second piece is 3 times as long as the first pieceThe third piece is 4 times as long as the second piece What is the length of each piece?

Oh, what a lovely problem to solve! Let's paint a happy little picture here. If we let the length of the first piece be x meters, the second piece would be 3x meters long, and the third piece would be 4 times that, which is 12x meters. Together, they add up to 64 meters, so we can set up the equation x + 3x + 12x = 64 to find the lengths of each piece.