A 54-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is 5 times as long as the first piece. What is the lengths of all three pieces?

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Answer 1 · 2016-06-05T02:07:27

6, 18, 30

Let #x# be the length of the first piece

#=> 3x# is the length of the second piece
#=> 5x# is the length of the third piece

#x + 3x + 5x = 54#

#=> 9x = 54#

#=> x = 6#
#=> 3x = 18#
#=> 5x = 30#