Question

A 30 inch board is to be cut into three pieces? a 30 inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the length of all three pieces.

Answer 1

Total length of the board = 30 inch 

Length of,

-- First piece = x

-- Second piece = 4x

-- Third piece = 5x

5x + 4x + x = 30

10x = 30 

x = 3

Therefore, the lengths of:

-- First piece = 3 inch

-- Second piece = 4*3 = 12 inch

-- Third piece = 5*3 = 15 inch