The movie theater sold 315 tickets to a show. If 2/3 of the tickets were adult tickets, which cost $14.25 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 round to the nearest hundredth.
The number of adult tickets sold is 315 tickets * 2/3 = <<315*2/3=210>>210 tickets
The price for all the adult tickets sold is $14.25/ticket * 210 tickets = $<<14.25*210=2992.5>>2992.5
The cost of children's tickets is $14.25/ticket * 2/3 = $<<14.25*2/3=9.50>>9.50/ticket.
The theater sold 315 tickets - 210 tickets = <<315-210=105>>105 tickets
The amount of money made from the sale of the children's tickets is $9.5/ticket * 105 tickets = $997.50. Answer: \boxed{997.50}.
To find the number of adult tickets sold, we need to calculate 2/3 of 315 tickets.
(2/3) * 315 = 210 adult tickets
The cost of each adult ticket is $14.25, so the total revenue from sales of adult tickets is:
210 * $14.25 = $2992.50
To find the cost of a child's ticket, which is 2/3 of the adult ticket price:
(2/3) * $14.25 = $9.50
Now, we can calculate the number of child tickets sold by subtracting the number of adult tickets from the total number of tickets:
315 - 210 = 105 child tickets sold
To find the total revenue from the sale of children's tickets, we multiply the number of child tickets sold by the cost of each child ticket:
105 * $9.50 = $997.50
Therefore, the theater made $997.50 from the sale of children's tickets.
To find out how much money the theater made from the sale of children's tickets, we need to determine the number of children's tickets sold and then calculate the total revenue from those tickets.
Given that 2/3 of the 315 tickets were adult tickets, we can find the number of adult tickets sold by multiplying the total number of tickets by 2/3:
Adult tickets = (2/3) * 315
Adult tickets = 210
Now we need to find the price of children's tickets. The question states that the children's tickets cost 2/3 of the amount of adult tickets. So to calculate the price of children's tickets, we multiply the price of an adult ticket by 2/3:
Price of children's tickets = (2/3) * $14.25
Price of children's tickets = $9.50
Now that we know the price of children's tickets, we can find the number of children's tickets sold by subtracting the number of adult tickets from the total number of tickets:
Children's tickets = Total tickets - Adult tickets
Children's tickets = 315 - 210
Children's tickets = 105
Finally, we can calculate the total revenue from the sale of children's tickets by multiplying the price of children's tickets by the number of children's tickets sold:
Total revenue from children's tickets = Price of children's tickets * Number of children's tickets
Total revenue from children's tickets = $9.50 * 105
Total revenue from children's tickets = $997.50
Therefore, the theater made $997.50 from the sale of children's tickets.