The movie theater sold 345 tickets to a show is 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 place in Commons inappropriate places.
Let's first find the number of adult tickets sold by multiplying 345 by 2/3: 345 tickets * 2/3 = <<345*2/3=230>>230 tickets
Now we'll multiply the number of adult tickets by the price per adult ticket: 230 tickets * $13.95/ticket = $<<230*13.95=3208.5>>3208.5
Now we'll multiply the price per adult ticket by 2/3 to find the price per child ticket: $13.95 * 2/3 = $<<13.95*2/3=9.30>>9.30
Now we just need to multiply the price per child ticket by the number of child tickets sold: $9.30 * 115 tickets = $<<9.30*115=1069.50>>1,069.50
The theater made $1,069.50 from the sale of children's tickets.
Step 1: Calculate the number of adult tickets sold:
The movie theater sold 345 tickets, and 2/3 of the tickets were adult tickets.
Number of adult tickets sold = (2/3) * 345 = 230 tickets
Step 2: Calculate the price of each adult ticket:
The price of each adult ticket is $13.95.
Step 3: Calculate the total revenue from the sale of adult tickets:
Total revenue from adult tickets = Number of adult tickets sold * Price of each adult ticket
Total revenue from adult tickets = 230 * $13.95 = $3,208.50
Step 4: Calculate the price of each child ticket:
Child ticket price is 2/3 of the amount of each adult ticket.
Child ticket price = (2/3) * $13.95 = $9.30
Step 5: Calculate the number of child tickets sold:
Since the remaining tickets after selling the adult tickets were children's tickets,
Number of child tickets sold = Total tickets sold - Number of adult tickets sold
Number of child tickets sold = 345 - 230 = 115 tickets
Step 6: Calculate the total revenue from the sale of children's tickets:
Total revenue from children's tickets = Number of child tickets sold * Price of each child ticket
Total revenue from children's tickets = 115 * $9.30 = $1,069.50
Therefore, the 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 determine the number of adult tickets sold.
We're given that 2/3 of the total tickets sold were adult tickets. So, we can start by finding 2/3 of the total number of tickets sold.
2/3 * 345 tickets = 230 adult tickets
Now, let's calculate the cost of each child's ticket. We're told that the price of a child's ticket is 2/3 of the amount of an adult ticket. So, we need to find 2/3 of the price of an adult ticket.
2/3 * $13.95 = $9.30
Since the number of children's tickets sold would be the remaining difference between the total tickets sold and the number of adult tickets sold, we can calculate:
Total tickets sold - Adult tickets sold = Children's tickets sold
345 tickets - 230 tickets = 115 children's tickets
Finally, we can calculate the total amount of money made from the sale of children's tickets:
Cost of a child's ticket * Children's tickets sold = Total money made from children's tickets
$9.30 * 115 tickets ≈ $1,069.50
Therefore, the theater made approximately $1,069.50 from the sale of children's tickets.