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 of adult tickets answer with a dollar amount rounded to the nearest hundreth placing commas in appropriate places

Answer 1

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

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

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

3. Determine the cost of children's tickets:
   Adult tickets cost $13.95 each. Therefore, children's tickets cost: \[ \text{Cost of children's tickets} = \frac{2}{3} \times 13.95 = 9.30 \]

4. Calculate total revenue from children's tickets:
   To find out how much money the theater made from children's tickets: \[ \text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Cost of children's tickets} \] \[ = 115 \times 9.30 = 1069.50 \]

Thus, the theater made $1,069.50 from the sale of children's tickets.