In a mental health hospital, there is one doctor and many patients. Once a day, every patient bites someone in the hospital – which may include a self-inflicted injury. After seven days, every patient was bit twice, and the doctor was bit 100 times. How many patients are there in the clinic?

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Answer: 20
Let x be the number of patients. Then the total number of bites after seven days is 7x, so 7x=2x+100. Therefore, x=20.

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