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The movie theater sold 345 tickets to a show. If 23

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 23
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 find out how much money the theater made from the sale of children's tickets, we can go through the steps outlined in the problem.

Step 1: Determine how many student tickets were sold.

  • Total tickets sold: 345
  • Adult tickets sold: 23

Number of student tickets sold: \[ \text{Student tickets sold} = \text{Total tickets sold} - \text{Adult tickets sold} = 345 - 23 = 322 \]

Step 2: Determine how much each student ticket cost.

  • Cost of adult ticket: $13.95
  • Cost of children's ticket (which is 1/3 of the adult ticket price): \[ \text{Cost of children's ticket} = \frac{13.95}{3} = 4.65 \]

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

To find the total revenue from children's tickets, multiply the number of children's tickets sold by the cost of each children's ticket: \[ \text{Revenue from children's tickets} = \text{Number of children's tickets} \times \text{Cost of children's ticket} = 322 \times 4.65 \]

Calculating this: \[ \text{Revenue from children's tickets} = 322 \times 4.65 = 1497.30 \]

Final Answers:

  1. Number of student tickets sold: 322
  2. Cost of each student ticket: 4.65
  3. Amount of money the theater made from the sale of children's tickets: 1497.30