Question 32852
Let the total Number of students be T
Let the female students be F
Let the male students be M

So First equation is T = M+F
But given THereare 72 more females  then male so F = M+72
And also given 60% of the total are Females So F = 60% of T
therefore {{{(60)/(100)*(T)}}} = M + 72
which gives us T = {{{(5)/(3)*(M + 72)}}}

But T = M + F
{{{(5)/(3)*(M + 72)}}} = M + M + 72
{{{(5)/(3)*(M + 72)}}}= 2M +72

(5)*(M + 72) = 3* (2M +72)
5M + 360 = 6M + 216
6M-5M = 360 - 216
M = 144
F = M + 72 = 144 + 72 = 216
T = M + F = 144 + 216 = 360

Total number of students are 360