A small business owner has two types of employees: full-time and part-time. The full-time employees work 40 hours per week, while part-time employees work 20 hours per week. If the total number of employees is 15, and the total number of hours worked per week by all employees combined is 440, how many full-time and how many part-time employees does the business have? Let's think step by step and output the final answer within \boxed{}.
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