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?
The number of adult tickets sold is 2/3*315 = <<2/3*315=210>>210 tickets.
The total cost of adult tickets sold is 210*$14.25=$<<210*14.25=2992.5>>2992.5
Each child ticket is sold at 2/3*$14.25=$<<2/3*14.25=9.5>>9.5
The theater sell at 9.5*$14.25 = $<<9.5*14.25=135.375>>135.375 worth of children's tickets. Answer: \boxed{135.375}.
To find out how many adult tickets were sold, we need to calculate 2/3 of the total number of tickets.
2/3 * 315 = 210 adult tickets
Since each adult ticket cost $14.25, we can calculate the total amount of money made from adult tickets by multiplying the number of adult tickets sold by the ticket price.
210 adult tickets * $14.25/ticket = $2992.50
Now, we need to find out the cost of a child's ticket. We know that it is 2/3 of the adult ticket price.
2/3 * $14.25 = $9.50
To find out how many child tickets were sold, we need to subtract the number of adult tickets from the total number of tickets.
315 total tickets - 210 adult tickets = 105 child tickets
Finally, to calculate the total money made from the sale of children's tickets, we multiply the number of child tickets sold by the ticket price.
105 child tickets * $9.50/ticket = $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 first need to find out how many tickets were sold to children.
Given that 2/3 of the tickets were adult tickets, this means that 1/3 of the tickets were children's tickets.
So, to find the number of children's tickets sold, we need to calculate 1/3 of the total number of tickets sold.
1/3 of 315 tickets = (1/3) * 315 = 105 tickets
Therefore, the theater sold 105 children's tickets.
Now, it is given that the price of children's tickets is 2/3 the amount of adult tickets.
So, the price of each child ticket = (2/3) * $14.25 = $9.50
Finally, to calculate how much money the theater made from the sale of children's tickets, we multiply the price of each child ticket by the number of children's tickets sold:
$9.50 * 105 tickets = $997.50
Therefore, the theater made $997.50 from the sale of children's tickets.