SOLUTION: A man makes out his will, stating that if his wife gives birth to a boy, his estate is to be divided in the proportion of two-thirds to the son and one-third to his wife. If his wi

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Question 553656: A man makes out his will, stating that if his wife gives birth to a boy, his estate is to be divided in the proportion of two-thirds to the son and one-third to his wife. If his wife gives birth to a daughter, the daughter gets one-fourth of the estate and the wife, three-fourths. The wife gives birth to twins, a boy and a girl. How would the estate be divided so that the proportions in the will are properly considered? There are two possible solutions to this problem. Find both of them.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A man makes out his will, stating that if his wife gives birth to a boy, his estate is to be divided in the proportion of two-thirds to the son and one-third to his wife.
If his wife gives birth to a daughter, the daughter gets one-fourth of the estate and the wife, three-fourths.
The wife gives birth to twins, a boy and a girl.
How would the estate be divided so that the proportions in the will are properly considered?
There are two possible solutions to this problem. Find both of them.
:
Here's one solution, I'll let you find the other one
Divide the estate into twelfths,
6/12 for son scenario and 6/12 for daughter scenario
:
the son,
2%2F3 * 6%2F12 = 12%2F36 = 1%2F3 for the son
1%2F3 * 6%2F12 = 6%2F36 = 1%2F6 for the wife
the daughter
1%2F4 * 6%2F12 = 6%2F48 = 1%2F8 for the daughter
3%2F4 * 6%2F12 = 18%2F48 = 3%2F8 for the wife
:
Summarize:
Son gets 1%2F3 of the estate
daughter gets 1%2F8 of the estate
wife gets 1%2F6 + 3%2F8 = 4%2F24 + 9%2F24 = 13%2F24 of the estate