Zombie X
In one psychiatric hospital, there is a head physician and several patients. After the new medicine intake, all patients suddenly caught a strange “disease” and they always tried to bite someone once a day. Fortunately, this side effect lasted only for one week. When everything was fine again, the doctor noticed that each patient had 2 bites. But the doctor was bitten 100 times.
How many patients were there in the hospital?
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1 solution
Solution: if we mark the number of patients as X, the total number of bites in a week is 7X, the number of bites among patients is 2X. Thus, the number of doctor’s bites equals to 7X — 2X that equals to 100 due to the riddle:
7Х − 2Х = 100
Х = 20