To find out how much money the theater made from the sale of children's tickets, we can follow these steps:
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Determine the number of adult tickets sold. \[ \text{Adult tickets} = \frac{2}{3} \times 345 = 230 \]
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Determine the number of children's tickets sold. \[ \text{Children's tickets} = 345 - 230 = 115 \]
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Calculate the price of a children's ticket. The problem states that children's tickets cost \(\frac{2}{3}\) of the amount of adult tickets. \[ \text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30 \]
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Calculate the total amount of money made from the sale of children's tickets. \[ \text{Total from children's tickets} = 115 \times 9.30 = 1,069.50 \]
Therefore, the theater made $1,069.50 from the sale of children's tickets.