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)
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The number of adult tickets sold is 2/3 * 345 tickets = <<2/3*345=230>>230 tickets.
The number of children's tickets sold is 345 tickets - 230 tickets = <<345-230=115>>115 tickets.
The price of each children's ticket is 2/3 * $13.95 = $<<2/3*13.95=9.30>>9.30.
Thus, the theater made a total of $9.30 * 115 tickets = $<<9.30*115=1069.50>>1069.50 from the sale of children’s tickets. Answer: \boxed{1069.50}.
To find out how many adult tickets were sold, we can multiply the total number of tickets by 2/3:
345 * 2/3 = 230.
So, 230 adult tickets were sold.
The cost of each adult ticket is $13.95, so the total revenue from adult tickets is:
230 * $13.95 = $3,208.50 (rounded to the nearest hundredth).
Children's tickets cost 2/3 of the amount of adult tickets:
(2/3) * $13.95 = $9.30.
So, each children's ticket cost $9.30.
To find out how many children's tickets were sold, we can subtract the number of adult tickets from the total number of tickets:
345 - 230 = 115.
So, there were 115 children's tickets sold.
Therefore, the total revenue from the sale of children's tickets is:
115 * $9.30 = $1,069.50 (rounded to the nearest hundredth).
Therefore, the theater made $1,069.50 from the sale of children's tickets.
To find the amount of money the theater made from the sale of children's tickets, we first need to determine the number of adult tickets sold. We are given that 2/3 of the total number of tickets sold were adult tickets.
To calculate this, we can multiply the total number of tickets sold (345) by the fraction representing the proportion of adult tickets (2/3):
(2/3) * 345 = 230
So, 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, we'll multiply the cost of the adult tickets ($13.95) by 2/3:
($13.95) * (2/3) = $9.30
Therefore, the children's tickets cost $9.30 each.
Now, we can find the total amount of money made from the sale of children's tickets by multiplying the cost of each children's ticket ($9.30) by the number of adult tickets sold (230):
($9.30) * 230 = $2,139.00
Rounded to the nearest hundredth, the theater made $2,139.00 from the sale of children's tickets.