Question

The movie theater sold 345 tickets to a show. If 2/3 of 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.

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. **Determine the price of children's tickets**:
The price of children's tickets is \( \frac{2}{3} \) of the price of adult tickets.
\[
\text{Price of adult ticket} = 13.95
\]
\[
\text{Price of children's ticket} = \frac{2}{3} \times 13.95 = \frac{27.90}{3} = 9.30
\]

4. **Calculate the total revenue from children's tickets**:
\[
\text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Price of children's ticket} = 115 \times 9.30
\]
\[
= 1069.50
\]

Thus, the total amount of money the theater made from the sale of children's tickets is **$1,069.50**.