SOLUTION: An inheritance of $900,000 is to be divided among Carl, Amy, and Stan in the following manner: Amy is to receive 3/4 of what Carl gets, while Stan gets 1/2 of what Carl gets. How m

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: An inheritance of $900,000 is to be divided among Carl, Amy, and Stan in the following manner: Amy is to receive 3/4 of what Carl gets, while Stan gets 1/2 of what Carl gets. How m      Log On

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Question 63778: An inheritance of $900,000 is to be divided among Carl, Amy, and Stan in the following manner: Amy is to receive 3/4 of what Carl gets, while Stan gets 1/2 of what Carl gets. How much does each get?
Found 2 solutions by 303795, checkley71:
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
If Carl gets x dollars then Amy will receive 3/4 x and Stan will receive 1/2 x
The total of (x + 1/2 x + 3/4 x) is (2 and 1/4 x) (= 2.25x)
900 000 = 2.25 x
x = 900 000/2.25
x = 400 000
So Carl gets $400 000, Amy gets $300 000 and Stan gets $200 000

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
C+A+S=900,000
A=3C/4
S=.5C
C+3C/4+.5C=900,000
C+.75C+.5C=900,000
2.25C=900,000
C=900,000/2.25
C=400,000 SOLUTION FOR CARL
S=.5*400,000
S=200,000 SOLUTION FOR STAN
A=.75*400,000
A=300,000 SOLUTION FOR AMY
PROOF
400,000+200,000+300,000=900,000
900,000=900,000