Question
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 commas in appropriate places
Answers
GPT-4o mini
To find out how much money the theater made from the sale of children's tickets, we can follow these steps:
1. **Determine the number of adult tickets sold.**
\[
\text{Adult tickets} = \frac{2}{3} \times 345 = 230
\]
2. **Determine the number of children's tickets sold.**
\[
\text{Children's tickets} = 345 - 230 = 115
\]
3. **Calculate the price of a children's ticket.**
The problem states that children's tickets cost \(\frac{2}{3}\) of the amount of adult tickets.
\[
\text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30
\]
4. **Calculate the total amount of money made from the sale of children's tickets.**
\[
\text{Total from children's tickets} = 115 \times 9.30 = 1,069.50
\]
Therefore, the theater made **$1,069.50** from the sale of children's tickets.
1. **Determine the number of adult tickets sold.**
\[
\text{Adult tickets} = \frac{2}{3} \times 345 = 230
\]
2. **Determine the number of children's tickets sold.**
\[
\text{Children's tickets} = 345 - 230 = 115
\]
3. **Calculate the price of a children's ticket.**
The problem states that children's tickets cost \(\frac{2}{3}\) of the amount of adult tickets.
\[
\text{Price of children's ticket} = \frac{2}{3} \times 13.95 = 9.30
\]
4. **Calculate the total amount of money made from the sale of children's tickets.**
\[
\text{Total from children's tickets} = 115 \times 9.30 = 1,069.50
\]
Therefore, the theater made **$1,069.50** from the sale of children's tickets.