The County Carnival is calculating attendance for the end of the first week. They sell adult tickets for $15 and children's tickets for $8. 70% of the tickets sold were children's tickets. 4600 less adult tickets were sold than children's tickets. How many of each type of ticket was sold the first week? How much money was made from the sale of children's tickets?
Set up a proportional equation that represents the scenario.
Show all your work.