Question 993486
.
Start with the remaining amount at the end:
The son's 1% of the remaining amount was $10,000,
so the remaining amount was $10000/0.01=$1,000,000.
Plus what was given to the hospital is $51,000,000.
This is the other "half the remainder"
The first half went to the teacher, so both halves
were $102,000,000.
Add back the $5,000,000 to Sam, the total fortune was $107,000,000  
.
CHECK:
From the beginning:
$107,000,000.....-$5,000,000 to Sam leaves
$102,000,000.....-$51,000,000 to teacher leaves
_$51,000,000.....-$50,000,000 for hospital leaves
.._$1,000,000.....-$500,000 wife's 50% leaves
___$500,000.....-$400,000 daughter's 40% leaves
___$100,000.....-$90,000 lawyer's 9% leaves
..___$10,000.....Lazy son's share=$10,000