the movie theater sold 345 tickets to 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 childeren's tickets if they cost 2/3 of the amount commas in appropriate places

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

To find out how much money the theater made from the sale of children's tickets, we can follow these steps:

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

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

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

  4. 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.