A 32-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 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

Mathematics

Kyleigh Haley

6 September, 03:29

A 32-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 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 (2)

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Mcdaniel · Answer 1

If x is the length of the first piece, then the 2nd is 3x and the 3rd is 4x.

the length of the board is 32 inches so

32=x + 3x + 4x

32 = 8x (add all like values)

32/8 = (8x) / 8 (divide both sides by 8

4=x

first piece is 4 inches

second piece is 3x so 3 (4) = 12 inches

third piece is 4x so 4 (4) = 16 inches

Kamora Stanley · Answer 2

To be honest I'm stuck on this to. I don't no the answer