SOLUTION: An inheritance of 900,000 is to be divided among Scott, Alice, and Tricia in the following manner: Alice receives 3/4 of what Scott gets while Tricia receives 1/2 of what Scott ge

Question 51628: An inheritance of 900,000 is to be divided among Scott, Alice, and Tricia in the following manner:
Alice receives 3/4 of what Scott gets while Tricia receives 1/2 of what Scott gets. How much does each receive?
Found 2 solutions by checkley71, rchill:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
S+3/4*S+1/2*S=900,000 OR 9/4*S=900,000 OR 9S=3,600,000 OR S=3,600,000/9 OR S=400,000 THEN 3/4*400,000=300,000 THEN 1/2*400,000=200,000 400,000+300,000+200,000=900,000 OR 900,000=900,000
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
Let the variable x represent Scott's portion. Then, is what Alice received and Tricia got . We have to add all three together to get the total: . Multiplying both sides by 4 produces , which reduces to . Dividing both sides by 9 yields , which represents the amount of money that Scott recieved. Alice got of that, or . That reduces to . Tricia got of Scott, which is represented by , which equates to . Adding up these three amounts (400,000 + 300,000 + 200,000) gets us to 900,000 inheritance.
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