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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Calculate the number of adult tickets sold: \[ \text{Adult tickets} = \frac{2}{3} \times 345 = 230 \]
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Calculate the number of children's tickets sold: \[ \text{Children's tickets} = 345 - 230 = 115 \]
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Determine the price of children's tickets: The price of children's tickets is \( \frac{2}{3} \) of the price of adult tickets. \[ \text{Price of adult ticket} = 13.95 \] \[ \text{Price of children's ticket} = \frac{2}{3} \times 13.95 = \frac{27.90}{3} = 9.30 \]
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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.