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, placing commas in appropriate places. (1 point)Responses

Answer 1

Two-thirds of the tickets sold were adult tickets, so there were (2/3)*345 = <<(2/3)*345=230>>230 adult tickets
The ticket price for an adult ticket is $13.95, so to calculate the total revenue from the sale of adult tickets, multiply the ticket price by the number of adult tickets sold: 13.95*230 = $<<13.95*230=3208.50>>3,208.50
The price of a child's ticket is 2/3 the price of an adult's ticket, so a child's ticket cost (2/3)*13.95 = $<<2/3*13.95=9.30>>9.30
The theater sold 345 tickets in total, so the number of children's tickets sold is 345 - 230 = <<345-230=115>>115
To calculate the revenue from the sale of children's tickets, multiply the price of a child's ticket by the number of children's tickets sold: 9.30*115 = $<<9.30*115=1069.50>>1,069.50
Thus, the theater made $1,069.50 from the sale of children's tickets. Answer: \boxed{1,069.50}.