Under state law, one-half of an intestate decedent's property goes to the decedent's spouse, one-fourth is divided equally among the decedent's children, and one-fourth goes to the state. if there is no spouse, the children divide three-fourths equally. a citizen of this state dies intestate, survived by an ex-spouse and seven adult children. if the estate is $865,550, how much will each child receive under state law?

$92,737.50

Explanation:

Under state law, half of the property would be given to a spouse, but a former spouse should not gain anything. Then the state will receive a quarter of the deceased's property, while the remaining three quarters will be divided equally for the deceased's seven children. So, to know how much each child of the deceased will be, we must first withdraw the amount of the state and divide the remainder by 7. Thus we will have:

865.550 ÷ 4 = $ 216.387,50.   Value given to the state.

865.55 - 216.387,50 = US $ 649.162,50

US $ 649.162,50 / 7 children = US $ 92.737,50