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)
The number of adult tickets sold is 2/3 * 345 tickets = <<2/3*345=230>>230 tickets
The cost of an adult ticket is $13.95 * 230 tickets = $<<13.95*230=3208.5>>3208.5
The cost of a children's ticket is 2/3 * $13.95 = $<<2/3*13.95=9.3>>9.3
The number of children's tickets sold is 345 tickets - 230 tickets = <<345-230=115>>115 tickets
The money made from the sale of children's tickets is $9.3 * 115 tickets = $<<9.3*115=1069.5>>1069.5. Answer: \boxed{1,069.50}.
First, we need to find the number of adult tickets sold. We are told that 2/3 of the tickets sold were adult tickets. So, let's find 2/3 of 345:
(2/3) * 345 = 230
Therefore, the theater sold 230 adult tickets.
Next, we need to find the cost of the children's tickets. We are told that the children's tickets cost 2/3 of the amount of adult tickets. So, let's find 2/3 of $13.95:
(2/3) * $13.95 = $9.30
Therefore, the children's tickets cost $9.30 each.
Now, we can calculate the total amount of money the theater made from the sale of children's tickets. Since the theater sold 230 adult tickets, they also sold 230 children's tickets. Therefore, the total amount of money made from the sale of children's tickets is:
230 * $9.30 = $2,139.00 (rounded to the nearest hundredth)
So, the theater made $2,139.00 from the sale of children's tickets.
To find how much money the theater made from the sale of children's tickets, we need to determine the number of children's tickets sold and multiply it by the price per ticket.
First, let's find the number of adult tickets sold. We know that 2/3 of the tickets sold were adult tickets, so let's find 2/3 of 345:
(2/3) * 345 = 2 * 345 / 3 = 690 / 3 = 230
So, the theater sold 230 adult tickets.
Now let's find the price of the children's tickets. We know that the children's tickets cost 2/3 of the amount of adult tickets, so let's calculate that:
(2/3) * $13.95 = 2 * 13.95 / 3 = 27.90 / 3 = $9.30
So, each children's ticket cost $9.30.
Next, let's find the number of children's tickets sold. Since we know the total number of tickets sold was 345 and 230 of them were adult tickets, we can find the number of children's tickets as:
345 - 230 = 115
The theater sold 115 children's tickets.
Finally, to find how much money the theater made from the sale of children's tickets, we multiply the number of children's tickets sold by the price per ticket:
115 * $9.30 = $1069.50
Therefore, the theater made $1069.50 from the sale of children's tickets.