A 32 -inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 55 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

Question

Camryn Nichols

Mathematics

22 April, 21:43

A 32 -inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 55 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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Esperanza Kelley · Answer 1

Length of 1st piece = x

length of 2nd piece = 2x

length of 2rd piece = 55x

then,

x + 2x + 55x = 32

56x = 32

x = 32/56

measure of 1st piece = x = 32 / 56 = 0.571 inches.

measure of 2nd piece = 2x = 1.142 inches and the measure of 3rd piece 31.42 inches.