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.

Question

Mathematics

Kiara Shaw

14 June, 13:31

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.

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Answers (1)

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Kierra Moyer · 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