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)

Question

$

Answer 1

To find out how much money the theater made from the sale of children's tickets, we can follow these steps:

1. Calculate the number of adult tickets sold: \[ \text{Adult tickets} = \frac{2}{3} \times 345 = 230 \]

2. Calculate the number of children's tickets sold: \[ \text{Children's tickets} = 345 - 230 = 115 \]

3. Calculate the cost of children's tickets: The cost of children's tickets is \( \frac{2}{3} \) of the adult ticket price, which is $13.95: \[ \text{Children's ticket price} = \frac{2}{3} \times 13.95 = 9.30 \]

4. Calculate the total revenue from children's tickets: \[ \text{Revenue from children's tickets} = 115 \times 9.30 = 1,069.50 \]

Thus, the theater made $1,069.50 from the sale of children's tickets.

Final answer: $1,069.50