# Thread: how much does each child get??

1. ## how much does each child get??

HI

I don't know if this post is in the right place, but I been trying to sort this out, but have not come up with a solution, would be grateful if anyone can help.

There is a father who’s about to pass away, and he’s leaving his will to his three kids.

We do not know the wealth that the father has.

So he calls his sons:

He calls his first son and says: here is a £100 and 10% of the total left
He calls his second son and says: here is £200 and 10% of the total left
He calls his third son and says: here is £300 and 10% of the total left

All the three sons get the same amount money, how much does each child get and what is the total amount of the wealth.

2. So we start out with a total t. The first son gets $100 and 10% of what's left. So that would be: son[0] = 100 + .1(t-100), with t = t - son[0]. The second son now gets$200 and 10% of the remaining total. Set that up as: son[1] = 200 + .1(t-200). Again, we subtract t = t - son[1], to get the remaining total.

I'll let you set up son[2]. After that, you set the equations for the three sons equal to each other, and solve. I set up the equations a little more programatically, adjusting a single variable. So remember when you set up subsequent equations after son[0] to adjust for the change in the total.

3. first of all thanks for replying to my post macosxnerd101

I was thinking of the same thing, but there is a slight error or i must be missing something in the formula, because when you do it like this, and we assume t as a value lets say \$5000 then we would not get the same amount for all the kids that's the main problem all the kids (however many kids you feel like adding to the formula) would not get the same amount, all the kids have to get the same amount.