To determine the amount of money the theater made from the sale of children's tickets, we can break down the problem step by step.
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Calculate the number of adult tickets sold: \[ \text{Number of adult tickets} = \frac{2}{3} \times 345 = 230 \]
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Calculate the number of children's tickets sold: \[ \text{Number of children's tickets} = 345 - 230 = 115 \]
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Calculate the cost of children's tickets: The price of an adult ticket is $13.95, so the price of a children's ticket is: \[ \text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30 \]
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Calculate the total revenue from children's tickets: \[ \text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Price of children's ticket} \] \[ \text{Total revenue from children's tickets} = 115 \times 9.30 = 1,069.50 \]
Thus, the theater made $1,069.50 from the sale of children's tickets.