In his will Ethan left all his money to his children in the following manner:
- $1000 to the first born and one tenth of what then remains, then:
- $2000 to the second born and one tenth of what then remains, then:
- $3000 to the third born and one tenth of what then remains, and so on.....
When this is done each child had the same amount.
How many children were there?
Nice work, Steve!
One small quibble. The 2nd line after the subtraction should read:
p + 1000 = 10000
which then does, indeed, lead to the solution p = 9000. :-)