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I do not believe in your numbers.
Check them !
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Comment from student: Thank you! I just realized I made a typo. The combined,average salaries are $74,600.
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My response. Ooo ! It is much better !
3C - T = 3500 (1) (C is the salary for the cook; P is the physical therapist salary)
C + T = 74600 (2)
Express T = 74600 - C from (2) and substitute it into (1). You will get
3C - (74600-C) = 3500.
4C = 3500 + 74600 = 78100.
Then C = = 19525 dollars.
Can you complete the solution from this point on your own ?