SOLUTION: An inheritance of 600000 is to be divided among Scott, Alice and Tricia in the following manner: Alice is to receive 2/3 of what Scott gets. while Tricia gets 1/3 of what Scott get

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Question 1065013: An inheritance of 600000 is to be divided among Scott, Alice and Tricia in the following manner: Alice is to receive 2/3 of what Scott gets. while Tricia gets 1/3 of what Scott gets. How much does each receive?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Adding together what Alice and Tricia get,
it is 2%2F3%2B1%2F3=1 times what Scott gets,
so Scott gets half of the inheritance: 600000%2F2=300000 ,
Tricia gets 1%2F3 of that, or 300000%2F3=100000 ,
and Alice gets the remaining 600000-300000-100000=200000 .

USING A VARIABLE (to make it look like algebra class):
x= amount that Scott gets,
so
%282%2F3%29x= amount that Alice gets, and
%281%2F3%29x= amount that Tricia gets.
x%2B%282%2F3%29x%2B%281%2F3%29x=600000
%281%2B%282%2F3%29%2B%281%2F3%29%29x=600000
%283%2F3%2B2%2F3%2B1%2F3%29x=600000
%286%2F3%29x=600000
2x=600000
x=600000%2F2
highlight%28x=300000%29
%282%2F3%29x=%282%2F3%29300000%29
highlight%28%282%2F3%29x=200000%29
%281%2F3%29x=%281%2F3%29300000%29
highlight%28%281%2F3%29x=100000%29