A tutoring service provides tutoring for a fee. When the tutoring service charges $10/hour, there is a demand for 25 tutors per week. When the hourly rate rises to $17/hour, the demand drops to 11 tutors per week. On the other hand, at $10/hour, the service is able to support only 10 tutors per week, whereas at the rate of $17/hour, it is able to provide 31 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.

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