A state university system is planning to hire new faculty at the rank of lecturer or instructor for several of its two-year community colleges. The number of sections taught and the annual salary (in thousands of dollars) for each rank are given in the table.

The number of sections thought by new faculty and the amount budgeted for salaries (in thousands of dollars) at each of the colleges are given in the following table. How many faculty of each rank should be hired at each college to exactly meet the demand for sections and completely exhaust the salary budget?

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Rank Lecturer Instructor Sections taught Annual salary (thousand $) 20 25 Community College Demand for sections Salary budget (thousand S) 30 200 35 220 210