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 adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.
To find the amount of money the theater made from the sale of adult tickets, we need to calculate the total number of adult tickets sold and then multiply it by the cost of each adult ticket.
First, let's find the number of adult tickets sold. We know that 2/3 of the 345 tickets sold were adult tickets. To find the number of adult tickets, we multiply 345 by 2/3:
Number of adult tickets = 345 x 2/3
= (345 x 2) / 3
= 690 / 3
= 230
So, the theater sold 230 adult tickets.
Next, we need to calculate the total amount of money made from the sale of adult tickets. To do this, we need to multiply the number of adult tickets by the cost of each adult ticket, which is $13.95:
Total money made from adult tickets = Number of adult tickets x Cost of each adult ticket
= 230 x $13.95
≈ $3,213.50
Therefore, the theater made approximately $3,213.50 from the sale of adult tickets.