Question
I'm looking for a word problem involving a movie theater with 400 seats, where tickets are sold at different prices for students, adults, and senior citizens, and the theater made $3,535 from ticket sales.
Answers
GPT-4o mini
Here's a word problem based on your requirements:
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**Word Problem:**
A movie theater has a total of 400 seats and sells tickets at three different prices: student tickets cost $8 each, adult tickets cost $12 each, and senior citizen tickets cost $10 each. One weekend, the theater sold a total of 400 tickets and made $3,535 from ticket sales.
If the number of student tickets sold was twice the number of senior citizen tickets sold, how many tickets of each type were sold?
1. Let \( s \) represent the number of student tickets sold.
2. Let \( a \) represent the number of adult tickets sold.
3. Let \( r \) represent the number of senior citizen tickets sold.
**You know the following:**
- \( s + a + r = 400 \) (total tickets sold)
- \( 8s + 12a + 10r = 3535 \) (total revenue from tickets)
- \( s = 2r \) (number of student tickets is twice the number of senior tickets)
**Questions:**
1. How many student tickets were sold?
2. How many adult tickets were sold?
3. How many senior citizen tickets were sold?
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**Solution Approach:**
To solve the problem, you can substitute the equation \( s = 2r \) into the first two equations and proceed to solve for \( a, s, \) and \( r \).
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**Word Problem:**
A movie theater has a total of 400 seats and sells tickets at three different prices: student tickets cost $8 each, adult tickets cost $12 each, and senior citizen tickets cost $10 each. One weekend, the theater sold a total of 400 tickets and made $3,535 from ticket sales.
If the number of student tickets sold was twice the number of senior citizen tickets sold, how many tickets of each type were sold?
1. Let \( s \) represent the number of student tickets sold.
2. Let \( a \) represent the number of adult tickets sold.
3. Let \( r \) represent the number of senior citizen tickets sold.
**You know the following:**
- \( s + a + r = 400 \) (total tickets sold)
- \( 8s + 12a + 10r = 3535 \) (total revenue from tickets)
- \( s = 2r \) (number of student tickets is twice the number of senior tickets)
**Questions:**
1. How many student tickets were sold?
2. How many adult tickets were sold?
3. How many senior citizen tickets were sold?
---
**Solution Approach:**
To solve the problem, you can substitute the equation \( s = 2r \) into the first two equations and proceed to solve for \( a, s, \) and \( r \).