A 14 inch board is to be cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece find the lengths of all three pieces

Answer 1

x + 2x + 4x = 14

7x = 14

x = 2

Answer 2

x + 2x + 3x + 2 = 14

6x + 2 = 14 (subtract 2 from both sides)

6x = 12 (divide 6 from both sides)

x = 2