SOLUTION: An inheritance of $1,500,000 is to be divided among Scott, Tricia and Alice in the following manner: Alice is to get 1/2 of what Scott bets, and Tricia is to get 3/4 of what Scott

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Question 409522: An inheritance of $1,500,000 is to be divided among Scott, Tricia and Alice in the following manner: Alice is to get 1/2 of what Scott bets, and Tricia is to get 3/4 of what Scott gets. How much does each receive?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
(1) a+=+%281%2F2%29%2As
(2) t+=+%283%2F4%29%2As
(3) a+%2B+t+%2B+s+=+1500000
by substitution:
(3) %281%2F2%29%2As+%2B+%283%2F4%29%2As+%2B+s+=+1500000
(3) s%2A%281%2F2+%2B+3%2F4+%2B+1%29+=+1500000
(3) s%2A%282%2F4+%2B+3%2F4++%2B+4%2F4%29+=+1500000
(3) %289%2F4%29%2As+=+1500000
(3) s+=+%284%2F9%29%2A1500000
(3) s+=+666666.67
and, from (1):
a+=+%281%2F2%29%2A666666.67
a+=+333333.33
and, from (2),
t+=+%283%2F4%29%2A666666.67
t+=+500
Alice gets $333,333.33
Tricia gets $500
Scott gets $666,666.67