Hello, terrarone!

It took me a few tries to get a grip on this one . . .

According to Mrs. Randolph's will, each of her great-grandchildren living in GA received

$700 more than each of her great-grandchildren living in FL. In all, $206,100 was divided

between 36 great-grandchildren. The GA great-grandchildren decided that the will wasn't

really fair, so they each contributed $175 to be divided among the FL great-grandchildren.

If all great-grandchildren now have an equal share, how many great-grandchildren live in GA?

Let = number of GA children.

. . They each received dollars.

They received a total of: dollars.

Then = number of FL children.

. . They each received dollars.

They received a total of: dollars.

Hence: .

The children from GA kicked in $175 each,

. . so they each received: dollars.

They received a total of: dollars.

After dividing their shares equally,

. . the FL children also received: dollars each.

They received a total of: dollars.

The grand total received was $206,100: .

Solve [2]: .

. . . . .

Substitute into [1]: .

Therefore, there are27great-grandchldren in Georgia.