Question

The movie theater sold 345 tickets to a show. If 2/3 of the tickets were sold to adults, which cost 13.95 a ticket, how much did the theater make from the sale of childerns tickets if they cost 2/3 the amount of adult tickets? Answer with a dollar amount and round to the nearest hundreth.

Answer 1

First, we need to calculate how many tickets were sold to adults. Since 2/3 of the tickets sold were to adults, we can find the number of adult tickets sold by multiplying the total tickets by 2/3:

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

Next, we can calculate how many tickets were sold to children by subtracting the number of adult tickets from the total tickets sold:

\[
\text{Children tickets} = 345 - 230 = 115
\]

Now, we know the price of an adult ticket is $13.95. The price of a children's ticket is 2/3 of the adult ticket price:

\[
\text{Children's ticket price} = \frac{2}{3} \times 13.95
\]

Calculating the children's ticket price:

\[
\text{Children's ticket price} = \frac{2 \times 13.95}{3} = \frac{27.90}{3} = 9.30
\]

Now we can find the total revenue from selling children's tickets by multiplying the number of children's tickets sold by the price of a children's ticket:

\[
\text{Total revenue from children's tickets} = 115 \times 9.30
\]

Calculating this gives:

\[
\text{Total revenue from children's tickets} = 1069.50
\]

Finally, rounding to the nearest hundredth, the theater made **$1069.50** from the sale of children's tickets.