Total no. of pupils = 1200
No of girls = 575
No of boys = 1200-575
= 625
Let the no. of girls who like sports = x
Fraction of girls who like sports = [tex]\frac{2}{5}[/tex]
[tex]\frac{x}{575} = \frac{2}{5}[/tex]
5x = 575*2
= 5x = 1150
x = 230
∴ 230 girls like sports
Let the no. of boys who like sports = y
Fraction of boys who like sports = [tex]\frac{3}{5}[/tex]
[tex]\frac{y}{625} = \frac{3}{5}[/tex]
= 5y = 625*3
= 5y = 1875
= y = 375
∴ 375 boys like sports
Total no. of pupils who like sports =
No. of girls who like sports + No of boys who like sports
= 375 + 230
= 605
∴ Total No of pupils who like sports = 605