Understanding the Biting Dynamics in a Mental Health Hospital
Scenario Overview
In a mental health hospital, there exists one doctor and multiple patients. Each day, every patient bites someone within the facility, which can also include self-inflicted injuries.
Daily Biting Pattern
Over the course of seven days, each patient bites twice. The doctor experiences a total of 100 bites during this period.
Calculating the Number of Patients
To determine the number of patients, let ( x ) represent the total number of patients in the hospital. The equation representing the total number of bites over the week can be formulated as follows:
– Total bites from patients in seven days: ( 7x )
– Total bites received by the doctor: ( 2x + 100 )
Setting these two expressions equal gives us the equation:
( 7x = 2x + 100 )
By solving for ( x ), we find:
( 5x = 100 )
( x = 20 )
Conclusion
Thus, the total number of patients in the clinic is 20.