SOLUTION: An inheritance of $2,400,000 is to be divided among Scott, Alice, and Tricia in the following manner: Alice is to receive 11/12 of what Scott gets, while Tricia gets 1/12 of what S

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Question 1069902: An inheritance of $2,400,000 is to be divided among Scott, Alice, and Tricia in the following manner: Alice is to receive 11/12 of what Scott gets, while Tricia gets 1/12 of what Scott gets. How much does each receive?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Alice:  (11/12)x
Tricia:  (1/12)x
Scott:        x


11x%2F12%2Bx%2F12%2Bx=2400000

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount Scott gets
+%2811%2F12+%29%2Ax+%2B+%281%2F12%29%2Ax+ = amount Alice and Tricia
get together
+%2811%2F12+%29%2Ax+%2B+%281%2F12%29%2Ax++=+x+
+2x+=+2400000+
+x+=+1200000+
and
+%28+11%2F12+%29%2Ax+=+%28+11%2F12+%29%2A1200000+
+%28+11%2F12+%29%2Ax+=+1100000+
and
+%28+1%2F12+%29%2Ax+=+100000+
-----------------------------
Scott gets $ 1,200,000
Alice gets $ 1,100,000
Tricia gets $ 100,000
-----------------------------
check:
+x+%2B+%2811%2F12+%29%2Ax+%2B+%281%2F12+%29%2Ax+=+1200000+%2B+1100000+%2B+100000+
+x+%2B+%2811%2F12+%29%2Ax+%2B+%281%2F12+%29%2Ax+=+2400000+
OK