SOLUTION: Jones dies and leaves £6874. He directs that the money be divided among wife and 3 kids,so that his wife receives 4 times as much as each child Children are to get equal share.

Algebra.Com
Question 1195306: Jones dies and leaves £6874. He directs that the
money be divided among wife and 3 kids,so that
his wife receives 4 times as much as each child
Children are to get equal share.How much does
is left to the wife?

Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

x = amount each child gets (in pounds)
4x = amount the wife gets

The 3 kids get x pounds each, so far that is x+x+x = 3x pounds.
Add on the wife's share to get 3x+4x = 7x
This total is set equal to £6874 and we solve for x.
Divide both sides by 7 to undo the "7 times" applied to x.

7x = 6874
7x/7 = 6874/7
x = 982

Each child gets £982
The wife gets 4x = 4*982 = 3928 pounds

Check:
child1+child2+child3+wife = 982+982+982+3928 = 6874
The answer is confirmed

Answer: £3928

RELATED QUESTIONS

Al-Kwarizmi's will was drawn up when he was near death, and his wife was expecting their... (answered by Theo)
a man divided $9,000 among his wife , son , and daughter. the wife received... (answered by lynnlo)
Robin shares Rs18,000 among the members of his family. On a pie chart, the son gets 144... (answered by ankor@dixie-net.com)
Mr. Chai withdraws $18,000 from his saving account. Half of the money is given to his... (answered by mananth)
Kelvin leaves his property to be devided between a wife,a son,and a daughter so that the... (answered by Theo,greenestamps)
A man left 3/7 of his money to his wife,1/2 of the remainder to his brother and the rest... (answered by mananth)
A man left 3/7 of his money to his wife, 1/2 of the remainder to his brother and the rest (answered by josmiceli)
A man dies and leaves half of his wealth to his wife. He leaves 1/7 of his wealth to his (answered by glabow,prince_abubu)
A man made a will in which he left 4/9 of his money to his wife and 2/5 of the remainder... (answered by math_tutor2020,greenestamps,MathTherapy)