A school cafeteria serves lunch to students. The cost of lunch is $5.75 per student. However, a discount is given if more than 20 students order lunch, reducing the price to $5.50 per student. If 25 students order lunch, calculate the total cost of lunches served. Use inequality to verify if the discount applies, and then perform the necessary arithmetic operations to find the total cost. Let's think step by step and output the final answer within \boxed{}.
user