SOLUTION: Divide 150 into three parts such that the second number is five-sixths the first and the third number is four-fifths the second.

SOLUTION: Divide 150 into three parts such that the second number is five-sixths the first and the third number is four-fifths the second.

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Question 630286: Divide 150 into three parts such that the second number is five-sixths the first and the third number is four-fifths the second.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 3 parts be a, b, and c
given:
(1)
(2)
(3)
----------------
(2)
Substitute (2) and (3) into (1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
and, since
(3)
(3)
(3)
and
(2)
(2)
(20
The lengths are 60, 50, and 40
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