Question

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.

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

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.