# Math

posted by .

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?

• Math -

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) =?

• Math -

Daughter's share = x-dollars.
Wife's share = 2x-dollars.
Son's share = 4x/3-dollars.
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.

## Similar Questions

1. ### Algerbra

A man’s will left \$75,000 to his wife, son and daughter in such a way that his son’s share was 3 times the daughter’s share, while the wife received as much as the son and daughter together. How much did each receive?
2. ### history of math

i need help. the answer is the ratio of 4:2:1. A man makes a will and dies leaving his wife pregnant. His will disposes of 100 ecus such that if his wife has a daughter, the mother should take twice as much as the daughter, but if …
3. ### maths

a man leaves half of his property to his wife.one third to his son and the remaining to his daughter. if the daughter share is 40000. find how much money did he leave. how much did his wife get?
4. ### maths

A man leaves 1/2 of his property to his wife, 1/3 to his son and the remaining to his daughter. If the daughter's share is rs.5,000, how much money did the man leave?
5. ### maths

Mr.Mathew left one-fourth of his property to his daughter as well as his son. He also left one-third of the remaining to charity and the rest to his wife. How much did his wife get if the charity amount was 100,000?
6. ### maths

Mr.Mathew left one-fourth of his property to his daughter as well as his son. He also left one-third of the remaining to charity and the rest to his wife. How much did his wife get if the charity amount was 100,000?
7. ### maths

A man gave 3 upon 8 of his property to his son and 1 upon 4 to his wife. What part of his property did he give to his son and wife.. .. .. ?
8. ### Maths

A man leaves 2/3 of his property for his wife , 1/3 of his property for his daughter and rest fo r his son what part does his son receive?
9. ### maths

A person left 1/5 of his property to his wife, 1/2 of his property to his son and daughter to be shared in the ratio if 2:1 and remaining property to be given to his grandson and granddaughter to be shared in the ratio of 3:2.If that …
10. ### Math

Ramesh give half of his property to his wife one third to his son and remaining 50000 to his daughter find the total property

More Similar Questions