Question

the movie theater sold 345 tickets to a show if 2/3 of the tickets were adult tickets which cost 13.95 each how much money did the theater make from the sale of childrens tickets if they cost 2/3 of the amount of adult tickets

Answer 1

To solve this problem, we first need to determine the number of adult tickets sold and the price of children's tickets.

1. **Calculate the number of adult tickets sold**:
- The total number of tickets sold is 345.
- \( \frac{2}{3} \) of the tickets are adult tickets.
- Number of adult tickets:
\[
\text{Adult Tickets} = \frac{2}{3} \times 345 = 230
\]

2. **Calculate the number of children's tickets sold**:
- The number of children's tickets can be found by subtracting the number of adult tickets from the total tickets:
\[
\text{Children's Tickets} = 345 - 230 = 115
\]

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

4. **Calculate the total revenue from the sale of children's tickets**:
- Multiply the number of children's tickets by the price of each children's ticket:
\[
\text{Revenue from Children's Tickets} = 115 \times 9.30 = 1069.50
\]

Thus, the theater made **$1069.50** from the sale of children's tickets.