A movie theater sells adult tickets for 12 dollars and child tickets for 7 dollars. On a Saturday, the theater sold 150 tickets and made $1580 in total. How many adult tickets were sold? ______
Answer & Analysis
Analysis
Question Analysis
This problem involves selling two types of movie tickets with different prices, requiring us to find the number of adult tickets sold. It relies on creating a system of equations from the total number of tickets and total revenue.
Key Concept Explanation
A system of linear equations uses two equations to relate two variables. Here, let a = adult tickets, c = child tickets.
Step-by-step Solution
1. Define variables: a = adult tickets, c = child tickets.
2. Equations:
Total tickets: → (substitution).
Total revenue: .
3. Substitute into the second equation:
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