The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.(1 point)

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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.

  1. Calculate the number of adult tickets sold: \[ \text{Number of adult tickets} = \frac{2}{3} \times 345 = 230 \]

  2. Calculate the number of children's tickets sold: \[ \text{Number of children's tickets} = 345 - 230 = 115 \]

  3. 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: \[ \text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30 \]

  4. 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.