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**:
According to the problem, 2/3 of the tickets sold were adult tickets.
\[
\text{Number of adult tickets} = \frac{2}{3} \times 345 = 230
\]
2. **Calculate the number of children's tickets sold**:
The remaining tickets are children's tickets.
\[
\text{Number of children's tickets} = 345 - 230 = 115
\]
3. **Determine the cost of children's tickets**:
Adult tickets cost $13.95 each. Therefore, children's tickets cost:
\[
\text{Cost of children's tickets} = \frac{2}{3} \times 13.95 = 9.30
\]
4. **Calculate total revenue from children's tickets**:
To find out how much money the theater made from children's tickets:
\[
\text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Cost of children's tickets}
\]
\[
= 115 \times 9.30 = 1069.50
\]
Thus, the theater made **$1,069.50** from the sale of children's tickets.