document.write( "Question 51628: An inheritance of 900,000 is to be divided among Scott, Alice, and Tricia in the following manner:
\n" ); document.write( "Alice receives 3/4 of what Scott gets while Tricia receives 1/2 of what Scott gets. How much does each receive? \n" ); document.write( "

Algebra.Com's Answer #34427 by rchill(405) $\"\"$ $\"About$

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Let the variable x represent Scott's portion. Then, $\"%283%2F4%29x\"$ is what Alice received and Tricia got $\"%281%2F2%29x\"$ . We have to add all three together to get the total: $\"x%2B%281%2F2%29x%2B%283%2F4%29x=900000\"$ . Multiplying both sides by 4 produces $\"4x%2B2x%2B3x=3600000\"$ , which reduces to $\"9x=3600000\"$ . Dividing both sides by 9 yields $\"x=400000\"$ , which represents the amount of money that Scott recieved. Alice got $\"3%2F4\"$ of that, or $\"3%2F4%2A400000\"$ . That reduces to $\"300000\"$ . Tricia got $\"1%2F2\"$ of Scott, which is represented by $\"1%2F2%2A400000\"$ , which equates to $\"200000\"$ . Adding up these three amounts (400,000 + 300,000 + 200,000) gets us to 900,000 inheritance. \n" ); document.write( "

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