SOLUTION: Hi A B C D share a sum of money.A has half of the total amount of money that B C D have. B has 1/3 of the total amount of money that A C D have. C has 1/7 of the total amount of

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Question 1172088: Hi
A B C D share a sum of money.A has half of the total amount of money that B C D have. B has 1/3 of the total amount of money that A C D have. C has 1/7 of the total amount of money that A B D have.
What fraction of the total sum of money does D have. D has $84. What is the total money shared by A B C D. Thank you.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2a=b+c+84
3b=a+c+84
7c=a+b+84
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subtract 2 from 1
2a-3b=b-a
3a=4b
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(8/3)b=b+c+84 substituting
(5/3)b=c+84; c=(5/3)b-84
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7c=(4/3)b+b+84
(35/3)b-588=(7/3)b+84
(28/3)b=672
b=72; c=36, a=96
($96, $72, $36, $84)
$288 total.