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.
:
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, 
{{{2/3}}} * {{{6/12}}} = {{{12/36}}} = {{{1/3}}} for the son
{{{1/3}}} * {{{6/12}}} = {{{6/36}}} = {{{1/6}}} for the wife 
the daughter
{{{1/4}}} * {{{6/12}}} = {{{6/48}}} = {{{1/8}}} for the daughter
{{{3/4}}} * {{{6/12}}} = {{{18/48}}} = {{{3/8}}} for the wife
:
Summarize:
Son gets {{{1/3}}} of the estate
daughter gets {{{1/8}}} of the estate
wife gets {{{1/6}}} + {{{3/8}}} = {{{4/24}}} + {{{9/24}}} = {{{13/24}}} of the estate