The movie theater sold 345 tickets to a show. If 2/3 of 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 answer

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: \[ \text{Adult tickets} = \frac{2}{3} \times 345 = 230 \]

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

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

  4. Calculate the total revenue from children's tickets: \[ \text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Price of children's ticket} = 115 \times 9.30 \] \[ = 1069.50 \]

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