Question

The average number of students in a government school in Bangalore is 4800 and the average number in private schools is 6400. If there are 6 private schools and 4 government schools in an area, what is the average number of students per school in that area?

Answer 1

Number of government schools in the area = 4

Average number of students per government school = 4800

$\therefore$ Total number of students in 4 such schools = 4800 $\times$ 4 = 19200 $\left[1mark\right]$

Number of private schools in the area = 6

Average number of students per private school = 6400

$\therefore$ Total number of students in 6 such schools = 6400 $\times$ 6 = 38400

Average number of students in 10 schools combined

= $\frac{19200+38400}{10}$

= $\frac{57600}{10}$

= 5760 $\left[1mark\right]$