A school has 1200 pupils. 575 of these pupils are girls. 2/5 of the girls like sports. 3/5 of the boys like sports. Work out the total number of people who like sports

Respuesta :

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

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