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he 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 the adult tickets?(3 points)
Step 1: Determine how many student tickets were sold.



Step 2: Determine how much each student ticket cost.

$
Answer with a dollar amount rounded to the nearest hundredth.



Step 3: Use the answers from steps 1 & 2 to determine the amount of money the theater made from the sale of children's tickets.

$
Answer with a dollar amount rounded to the nearest hundredth.

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1 answer

To solve this problem, we will follow the steps provided.

Step 1: Determine how many student tickets were sold.

  1. Total tickets sold: 345

  2. Adult tickets sold: We know that 2/3 of the tickets sold were adult tickets.

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

  3. Children's (or student) tickets sold: The remaining tickets are children's tickets.

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

Step 2: Determine how much each student ticket cost.

The cost of an adult ticket is $13.95. The cost of a children's ticket is 2/3 of the adult ticket price.

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

So, the cost of each children's ticket is $9.30.

Step 3: Calculate the amount of money the theater made from the sale of children's tickets.

To find the total money made from children's tickets, we multiply the number of children's tickets sold by the price of each ticket.

\[ \text{Total from children's tickets} = 115 \times 9.30 = 1069.50 \]

Final Answers:

  1. Step 1: Number of children's tickets sold: 115
  2. Step 2: Cost of each children's ticket: $9.30
  3. Step 3: Amount of money made from children's tickets: $1,069.50

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