To find out how much money the stadium made from the sale of children's tickets, we first need to determine the number of adult tickets and children's tickets sold.
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Calculate the number of adult tickets sold: \[ \text{Adult tickets} = \frac{3}{4} \times \text{Total tickets} = \frac{3}{4} \times 1200 = 900 \]
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Calculate the number of children's tickets sold: \[ \text{Children's tickets} = \text{Total tickets} - \text{Adult tickets} = 1200 - 900 = 300 \]
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Determine the cost of children's tickets: The cost of children's tickets is \( \frac{2}{3} \) of the cost of adult tickets, which are $25.50 each. \[ \text{Cost of children's tickets} = \frac{2}{3} \times 25.50 \] Calculating this: \[ \frac{2}{3} \times 25.50 = \frac{51.00}{3} = 17.00 \]
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Calculate the money made from the sale of children's tickets: \[ \text{Total money from children's tickets} = \text{Children's tickets} \times \text{Cost of children's tickets} \] \[ \text{Total money} = 300 \times 17.00 = 5100 \]
Therefore, the stadium made $5,100 from the sale of children's tickets.