SOLUTION: a 140-second song is divided into three parts, the begining, the middle, and the end. the beginning is one-sixth as long as the end. the middle is one half as long as the end. find
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Question 339026: a 140-second song is divided into three parts, the begining, the middle, and the end. the beginning is one-sixth as long as the end. the middle is one half as long as the end. find the length of each part
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let beginning =
Let middle =
Let end =
given:
(1)
(2)
(3)
-----------------
There are 3 unknowns and 3 equations, so
it should be solvable
Substitutute (2) in (1)
(1)
Substitute (3) in (1)
(1)
Multiply both sides by
(1)
And, from (2)
From (3)
The beginning is 14 min
The middle is 42 min
The end is 84 min
check:
(1)
(2)
(2)
(3)
(3)
OK
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