The movie theater sold 245 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 answer

First, let's find the number of adult tickets sold:

245 tickets * 2/3 = 163.33 adult tickets

Since we can't sell a fraction of a ticket, let's round down to the nearest whole number.
163 adult tickets sold

Now, let's find the number of children's tickets sold:

245 tickets - 163 adult tickets = 82 children's tickets

Next, let's calculate the cost of the children's tickets:

Children's tickets cost 2/3 of adult tickets, so 2/3 * $13.95 = $9.30

Now, multiply the number of children's tickets sold by the cost per ticket:

82 children's tickets * $9.30 = $761.40

Therefore, the theater made $761.40 from the sale of children's tickets.