Question

The movie theater sold 345 tickets to a 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 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 point)





pls help

Answer 1

To determine the amount of money the theater made from the sale of children's tickets, we can break down the problem step by step.

1. **Calculate the number of adult tickets sold:**
\[
\text{Number of adult tickets} = \frac{2}{3} \times 345 = 230
\]

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

3. **Calculate the cost of children's tickets:**
The price of an adult ticket is $13.95, so the price of a children's ticket is:
\[
\text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30
\]

4. **Calculate the total revenue from children's tickets:**
\[
\text{Total revenue from children's tickets} = \text{Number of children's tickets} \times \text{Price of children's ticket}
\]
\[
\text{Total revenue from children's tickets} = 115 \times 9.30 = 1,069.50
\]

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