A man left 3/7 of his money to his wife, 1/2 of the remainder to his brother, and the rest he divided equally among his three children. If each of his children received $400, how much did his wife receive?

I did this:

Let the money be: x
Wife received: 3/7x
Brother received: x-3/7x = 4/7x
Children: 400*3= 1200

Solution:

x= 3/7x + 4/7x + 1200

Ans: 8400

Wife: 3/7 of 8400= 3600

Please help!

My answer is not coming correct as it is in my workbook.

4 answers

A man left 3/7 of his money to his wife, 1/2 of the remainder to his brother, and the rest he divided equally among his three children. If each of his children received $400, how much did his wife receive?

starting with x,
3/7 went to wife, leaving 4/7
1/2 of that, 2/7, went to brother, leaving 2/7 for his kids.

That 2/7 was 3*400 = 1200
So, 2/7 x = 1200
x = 4200

3/7 of 4200 = 1800

Your mistake was in not noting that the brother only got half of the 4/7.
Why did 2/7 had x with it for tje kids.
Why did 2/7 had x with it for the kids.
How can 4/7 come what thing we do to come 4/7