Ina school, $$\frac{4}{9}$$ of the numberof students are girls and the rest are boys. $$\frac{3}{5}$$ of the number of boys are below 12 years of age and $$\frac{5}{12}$$ of the number of girls are 12 years or above 12 years of age. If the number of students below 12 years of age is 480, then $$\frac{5}{18}$$ of the total number of students in the school will be equal to:

Let the total student be x.
Number of girls = 4x/9
Number of boys = x - 4x/9 = 5x/9
Number of boys below 12 years = 5x/9 $$\times$$ 3/5 = x/3
Number of girls are 12 years or above 12 years of age = 4x/9 $$\times$$ 5/12 = 5x/27
Number of girls below 12 years = $$\frac{4x}{9} - \frac{5x}{27}$$ = 7x/27
The number of students below 12 years of age = 480
Number of boys below 12 years + number of girls below 12 years = 480
$$\frac{x}{3}  +\frac{7x}{27}$$ = 480
16x/27 = 480
x = 810

$$\frac{5}{18}$$ of the total number of students in the school = 810 $$\times \frac{5}{18}$$ = 225