SOLUTION: Divide 150 into three parts such that the second part is five-sixth of the first and the third part is four-fifth of the second.

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Question 1102612: Divide 150 into three parts such that the second part is five-sixth of the first and the third part is four-fifth of the second.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x, the first part
%285%2F6%29x, second part
%284%2F5%29%285%2F6%29x, third part

x%2B%285%2F6%29x%2B%2820%2F30%29x=150
x%2B%285%2F6%29x%2B%282%2F3%29x=150
6x%2B5x%2B4x=900
15x=900
highlight%28x=60%29
-
highlight%28second_part=50%29
-
highlight%28third_part=40%29