SOLUTION: A man made a will the in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child. The rest was to be shared equally among his four younger children
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Question 1150819: A man made a will the in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child. The rest was to be shared equally among his four younger children. If each of the younger children received $108000; what was his wife's share? Found 3 solutions by greenestamps, josgarithmetic, MathTherapy:Answer by greenestamps(13198) (Show Source):
There are, as usual, many different ways to set up this problem for solving. I hope you will get responses from other tutors showing different methods; perhaps you will find a method different than mine more to your liking.
Let x be the full amount of money.
total amount: x
The wife gets 4/9 of the money; 5/9 is left for the children.
wife's share: (4/9)x
children's share: (5/9)x
The eldest child get 2/5 of what is left for the children; 3/5 of what is left goes to the other children.
You can put this solution on YOUR website! A man made a will the in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child. The rest was to be shared equally among his four younger children. If each of the younger children received $108000; what was his wife's share?
Fraction wife received:
Fraction eldest child received:
Fraction ALL four younger children received:
Fraction each of the four younger children received:
With each of the four younger children receiving , or $108,000, and the wife's share being W, we get the following PROPORTION and wife's (W's) share: