The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth.
The number of adult tickets sold is 2/3 * 345 tickets = <<2/3*345=230>>230 tickets.
Adult tickets revenue was 230 tickets * $13.95/ticket = $<<230*13.95=3208.5>>3208.5
The cost of the children's ticket was 2/3 * $13.95 = $<<2/3*13.95=9.3>>9.3.
The number of children's tickets sold was 345 total tickets - 230 adult tickets = <<345-230=115>>115 tickets
Children's tickets revenue is 115 tickets * $9.3/ticket = $<<115*9.3=1069.50>>1069.50
The theater made $1069.50 + $3208.5 = $<<1069.50+3208.5=4278>>4278. Answer: \boxed{4278}.