Question

1/5 of the school plays sports. 2/3 of the students who play sports are girls. what fraction of all students are girls who play sports

Answer 1

Explanation:

let x be the total number of students in school

So, the fraction of students who play sports

= (1/5)x = x/5

fraction of students who play sports are girls

`= (2)/(3) * (x)/(5)`

`= (2x)/(15)`

So, the fraction of girls who play sports

`= (number \: of \: observations \: involved)/(total \: observations)`

`= ( (2x)/(15) )/(x)`

`= \bold{(2)/(15) }`

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