a father gave rs 500 to his 4 children. the eldest one got 2/5 of the money and the remaining amount of money was divided equally among the rest. find the amount of money the youngest child got.?

i know the answer is 1/5
but i just want to know how to frame the solution
urgent help

Question

a father gave rs 500 to his 4 children. the eldest one got 2/5 of the money and the remaining amount of money was divided equally among the rest. find the amount of money the youngest child got.?

i know the answer is 1/5 
but i just want to know how to frame the solution
urgent help

terenzreignz · Answer

@TayyabaRawjani Let's think of that 500 as some sort of pie (well, it kinda is)
The eldest gets 2/5.  The whole is 5/5.
Once 2/5 is taken away, how much remains of the 5/5?

anonymous · Answer

3/5

anonymous · Answer

then each son got 1/5 portion

terenzreignz · Answer

That's right. And it's divided EQUALLY among the THREE remaining children (we're barring the eldest)

terenzreignz · Answer

So... that understood then?

anonymous · Answer

but i want to know how to frame this answr for a 6th grade student

terenzreignz · Answer

ahh. Well, it'd be easier to visualize if you immediately tell him/her what 2/5 of 500 is.
It's 200, right?

terenzreignz · Answer

So... there'd be 300 remaining for the three other children. I guess it'd be simpler to work out how much is left for each if the remaining three get equal shares.

anonymous · Answer

yeah but its difficult for him to understand n make a written solution out of this

anonymous · Answer

i want a perfect and easy written solution for this
step by step

terenzreignz · Answer

I don't know how his teacher usually solves things.  Maybe a sample solution would help give us some sort of template :D

anonymous · Answer

i dont have a sample ryt now
thats y asking for some help

terenzreignz · Answer

Are they on proportions?

anonymous · Answer

yes

terenzreignz · Answer

Well, a partitive proportion that adds up to 5 is
2:1:1:1 for four children.

anonymous · Answer

ok

terenzreignz · Answer

2 because the eldest gets 2/5 of the money.

terenzreignz · Answer

So, solving how they usually solve partitive proportions, we get:
2x + 1x + 1x + 1x = 500
where x is one share.

Giving 5x = 500
x = 100

So, since the eldest takes two shares, eldest gets 200, while the rest have just one share, giving 100 each

anonymous · Answer

is it ok 

eldest got 200/500
=2/5

then the remaining amount was 300
which means each son got 100/500
= 1/5

so the youngest song got 1/5 of the money

terenzreignz · Answer

Helping a little brother out? :D

terenzreignz · Answer

It's a little vague :D