A 24-inch board is to be cut into three pieces so that the second piece is 3 times 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.

Question

Guapo

Mathematics

29 November, 19:47

A 24-inch board is to be cut into three pieces so that the second piece is 3 times 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.

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Answers (1)

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Murillo · Answer 1

1st piece: x

2nd piece: 3x

3rd piece: 4x

total : 3+4+1=8

8x = 24

x=3

substitute x value into length of each piece ^

1st piece : 3inch

2nd piece : 9inch

3rd piece : 12inch