According to Mrs. Randolph's will, each of her great-grandchildren living in Georgia received $700 more than each of her great-grandchildren living in Florida. In all, $206,100 was divided between 36 great-grandchildren. The Georgian great-grandchildren decide that the will wasn't really fair, so they each contribute $175 to be divided among the Floridian great-grandchildren. If all great-grandchildren now have an equal share, how many great-grandchildren live in Georgia?
a. List the unknown quantities and assign a variable to each.
b. Write one or more equations that relate the variables to conditions of the problem.
c. Solve the equations to find a value for each variable.
d. Interpret the value of each variable according to the context of the problem.