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
To find out how much money the theater made from the sale of children's tickets, we first need to calculate the number of adult tickets sold.
Given that 2/3 of the tickets sold were adult tickets, we can calculate the number of adult tickets sold by multiplying the total number of tickets sold by (2/3):
345 tickets * (2/3) = 230 adult tickets.
Now, let's calculate the cost of the adult tickets:
230 adult tickets * $13.95 per ticket = $3,208.50.
Next, we need to find out the cost of the children's tickets, which are priced at 2/3 of the adult ticket price:
(2/3) * $13.95 = $9.30.
Since the number of children's tickets sold is the remaining balance of the total tickets sold:
Total tickets sold - Adult tickets sold = Children's tickets sold
345 tickets - 230 adult tickets = 115 children's tickets.
Finally, we can calculate the money made from the sale of children's tickets:
115 children's tickets * $9.30 per ticket = $1,069.50.
Therefore, the movie theater made $1,069.50 from the sale of children's tickets.
To find out how much money the theater made from the sale of children's tickets, we first need to calculate the number of adult tickets sold.
We know that 2/3 of the tickets sold were adult tickets. The total number of tickets sold is 345. To find the number of adult tickets, we multiply the total number of tickets by 2/3:
Number of adult tickets = 345 * (2/3)
= 690/3
= 230
So, the theater sold 230 adult tickets.
Now, we need to find the cost of an adult ticket, which is $13.95.
Next, we need to determine the price of children's tickets, which is 2/3 of the cost of adult tickets.
Price of children's tickets = (2/3) * $13.95
= 2/3 * 13.95
= $9.30
Now, we can calculate the total amount of money the theater made from the sale of children's tickets by multiplying the number of children's tickets sold by the price of each ticket.
Number of children's tickets = Total number of tickets - Number of adult tickets
= 345 - 230
= 115
Total money made from sale of children's tickets = Number of children's tickets * Price of each ticket
= 115 * $9.30
= $1069.50
Therefore, the theater made $1069.50 from the sale of children's tickets.
The number of adult tickets sold is 2/3 * 345 tickets = <<2/3*345=230>>230 tickets.
So, the number of child tickets sold is 345 tickets - 230 tickets = <<345-230=115>>115 tickets.
The price of each child ticket is 2/3 * $13.95 = $<<2/3*13.95=9.30>>9.30.
Therefore, the theater made $9.30 * 115 tickets = $<<9.30*115=1069.50>>1069.50 from the sale of children's tickets. Answer: \boxed{1069.50}.