SOLUTION: A man left 3/7 of his money to his wife, 1/2 of the remainder to his brother and the rest of it to be divided equally among his three children. if each of his children received $40

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Question 725942: A man left 3/7 of his money to his wife, 1/2 of the remainder to his brother and the rest of it to be divided equally among his three children. if each of his children received $400, how much did his wife receive?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
after giving +3%2F7+ to his wife, there is +4%2F7+ of his money left
He gives +%281%2F2%29%2A%284%2F7%29+=+2%2F7+ to his brother, so
+4%2F7+-+2%2F7+=+2%2F7+ is left
Each of his children received
+%281%2F3%29%2A%282%2F7%29+=+2%2F21+ of his money
Let +x+ = the original sum of money
+%282%2F21%29%2Ax+=++400+
+2x+=+8400+
+x+=+4200+
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+%283%2F7%29%2A4200+=+1800+
His wife got $1,800
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check:
+4%2F7+ is left, so +%284%2F7%29%2A4200+=+2400+
+%281%2F2%29%2A2400+=+1200+ to brother
There is 1200 left
+1200%2F3+=+400+ to each child
OK