the movie theater sold 345 tickets to a show if 2/3 of the tickets were adult tickets which cost 13.95 each how much money did the theater make from the sale of childrens tickets if they cost 2/3 of the amount of adult tickets

Answer 1

To solve this problem, we first need to determine the number of adult tickets sold and the price of children's tickets.

1. Calculate the number of adult tickets sold:

   • The total number of tickets sold is 345.
   • \( \frac{2}{3} \) of the tickets are adult tickets.
   • Number of adult tickets: \[ \text{Adult Tickets} = \frac{2}{3} \times 345 = 230 \]

2. Calculate the number of children's tickets sold:

   • The number of children's tickets can be found by subtracting the number of adult tickets from the total tickets: \[ \text{Children's Tickets} = 345 - 230 = 115 \]

3. Calculate the cost of children's tickets:

   • The price of adult tickets is $13.95.
   • The price of children's tickets is \( \frac{2}{3} \) of the adult ticket price: \[ \text{Children's Ticket Price} = \frac{2}{3} \times 13.95 = \frac{27.90}{3} = 9.30 \]

4. Calculate the total revenue from the sale of children's tickets:

   • Multiply the number of children's tickets by the price of each children's ticket: \[ \text{Revenue from Children's Tickets} = 115 \times 9.30 = 1069.50 \]

Thus, the theater made $1069.50 from the sale of children's tickets.