In his will, Mr. Adams left 25% of his estate to his wife and unevenly divided the balance between his son and his daughter. If the son received $36,000 as his share, what was the total value of the estate?
by 
Anonymous
ANSWERS: 3
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Not enough data. Are you sure he UNevenly divided the remainder between his son and daughter? If it was evenly between them, the total estate was $96,000.
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If you tell me what the daughter got, then I will add that to the 36,000, divide by 3 and multiply by 4 to get the answer.
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I understand by 'unevenly' that the son did not get the same amount of money as the daughter. Assuming that there are no other heirs, the share of the children is 3/4 of the estate (E), the son's $36,000 being a part of this 3/4. But the daughter's share could be anything from zero to billions of dollars or more (except $36,000), so we can't find out the total value. But we can write: (¾)E > $36,000 which yields E > $48,000. If we know how unevenly the divide was, we can say more. If the son has the smaller share, we can write: (¾)E > $72,000 which yields E > $96,000. If the son has the bigger share, we can write: $72,000 > (¾)E > $36,000 which yields: $96,000 > E > $48,000. If the shares are even we can write (¾)E = $72,000 which yields E = $96,000.
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