Mr. Saunders has recently passed away.

In his will, he has divided his money among his 7 children, 7 stepchildren and a manager.

Mr. Sanders’ will stipulated:

1. First give $1 to manager, and 1/7th of the remaining to the eldest child.
2. Now give $1 to the manager and 1/7th of the remaining to second oldest child and so on.....
3. After giving the money to the seventh (youngest) child, divide the remaining money among the seven stepchildren equally.

Knowing that:

• The ages of each of the seven children are different, and:
• Each of the 15 individuals received a positive integer number of dollars

What is the minimum amount of money that Mr. Saunders had left behind?

Extra Challenge: A non computer program aided solution.