how long are the pieces of the board

Question

a 30-inch board is to be cut into 3 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 lengths of all three pieces

 

Answer 1

x = length of first piece

4x = length of second piece

5x = length of third piece

 

They add up to 30 inches.

 

x + 4x + 5x = 30

10x = 30

x = 3

 

The three pieces are 3, 12, and 15 inches each.