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
Accepted Solution
A:
Total no. of pupils = 1200No of girls = 575No of boys = 1200-575= 625Let the no. of girls who like sports = xFraction of girls who like sports = [tex]\frac{2}{5}[/tex][tex]\frac{x}{575} = \frac{2}{5}[/tex]5x = 575*2= 5x = 1150x = 230∴ 230 girls like sportsLet the no. of boys who like sports = yFraction 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 sportsTotal 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