To solve this problem, we will complete it step by step as requested.
Step 1: Determine how many student tickets were sold.
The total number of tickets sold is 345. Out of these, 23 were adult tickets.
Number of student tickets sold: \[ \text{Student tickets} = \text{Total tickets} - \text{Adult tickets} = 345 - 23 = 322 \]
Step 2: Determine how much each student ticket cost.
The cost of each adult ticket is $13.95. The cost of each children's (or student) ticket is given as 23% of the adult ticket price.
First, we calculate 23% of $13.95:
\[ \text{Cost of children's ticket} = 0.23 \times 13.95 = 3.2085 \]
Rounding to the nearest hundredth, the cost of each children's ticket is:
\[ \text{Cost of children's ticket} = 3.21 \]
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.
To find the total revenue from children's tickets, we multiply the number of children's tickets sold by the cost of each ticket.
\[ \text{Total revenue from children's tickets} = \text{Number of student tickets} \times \text{Cost of children's ticket} \] \[ \text{Total revenue from children's tickets} = 322 \times 3.21 = 1036.62 \]
Final Answers:
- Number of student tickets sold: 322
- Cost of each student ticket: 3.21
- Amount of money the theater made from the sale of children's tickets: $1,036.62
Thus, the theater made $1,036.62 from the sale of children's tickets.
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