The movie theater sold 345 tickets to a show. if 2/3 of the ticket sold were adult tickets, which cost $13.95 each. How much money did the theater make from the sale of childerens tickets of they cost 2/3 of the amount of adults tickets?. Answer with a dollar amount rounded to the neartest hundredth, placing commas in approproate places.

Answer 1

First, we can find the number of adult tickets sold. Since \( \frac{2}{3} \) of the tickets sold were adult tickets:

\[ \text{Number of adult tickets} = \frac{2}{3} \times 345 = 230 \]

Next, we can find the number of children's tickets sold. Since there are a total of 345 tickets sold, the number of children's tickets is:

\[ \text{Number of children's tickets} = 345 - 230 = 115 \]

Now, we know the cost of an adult ticket is $13.95. The cost of a children's ticket is \( \frac{2}{3} \) of the adult ticket price:

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

Next, we calculate the total revenue from the sale of children's tickets:

\[ \text{Revenue from children's tickets} = \text{Number of children's tickets} \times \text{Cost of children's ticket} \] \[ \text{Revenue from children's tickets} = 115 \times 9.30 = 1,069.50 \]

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