Question 1198175
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Answer: <font color=red>N576000</font>


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Explanation:


Draw 9 rectangles side by side.
Shade exactly 4 of them to represent 4/9 of the money going to the wife.
The remaining 9-4 = 5 unshaded rectangles is the amount left over.


2/5 of those unshaded rectangles is then marked with X to signal this amount of money going to the eldest child.
In other words, you would have 2 unshaded rectangles marked with X.
<img src = "https://i.imgur.com/A9TeHGW.png">
There are 5-2 = 3 rectangles left over that aren't shaded nor have an X in them.
This is out of the 9 rectangles total.
3/9 = 1/3 of the total money is to be split equally among the four younger children.


Now we'll start another diagram.
Draw a grid of squares that have 3 rows and 4 columns.
<img src = "https://i.imgur.com/g6PMLxF.png">
The row count is from the denominator in 1/3.
The column count (4) is the number of younger kids we're splitting the remaining money with.
There are 3*4 = 12 inner cells.
This means each of the four remaining kids get 1/12 of the total money.
Imagine that each of the four kids only grabs the first row of cells from that second diagram.


Note how
4*(1/12) = 4/12 = 1/3



We're told that each of those four kids got N108000


If x is the total, then,
1/12 of total = 108000
1/12 of x = 108000
(1/12)*x = 108000
x/12 = 108000
x = 108000*12
x = 1296000


The total amount of money is N1296000


Take 4/9 of this to find the wife's share
(4/9)*1296000 = <font color=red>576000</font>


After she gets her share, there's 1296000-576000 = 720000 left over.
2/5 of this remaining amount is for the eldest, so (2/5)*720000 = 288000 goes for the oldest. Which leaves 720000-288000 = 432000 for the four other kids.
Or you could say 3/5 of 720000 = (3/5)*720000 = 432000 is to be split equally among the four other younger children
432000/4 = 108000
We have confirmed the answer.
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