Math
posted by Riley on .
A man left his property to his wife, his son, his daughter, and his sister. His son and daughter got half of the property, sharing in the ratio of 4 to 3. His wife got twice as much as the daughter. If his sister received $15,000, what was the value of all of his property?

Son and daughter got half, in the ratio of 4 to three.
So
son+daughter = 1/2
son got 4/14
daughter got 3/14
Wife got twice as the daughter = 6/14
Sister got 1(4/14+3/14+6/14) = 1/14
If 1/14 of the property was worth $15,000, the value of his estate is
$15,000/(1/14) =? 
Daughter's share = xdollars.
Wife's share = 2xdollars.
Son's share = 4x/3dollars.
Sister's share = 15000 dollars.
The son and daughter received 1/2 of
the property. The other 1/2 went to the
wife and sister:
x + 4x/3 = V/2 = 2x + 15000,
x + 4x/3 = 2x + 15000,
Solve for x:
x = 45000 = Daughter's share,
2x = 2 * 45000 = 90000 = Wife's share,
4x/3 = 4*45000/3 = 60000 = son's share
V/2 = 2 * 45000 + 15000 = 105000,
V = 210000 = Value of property.