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

Respuesta :

aRKe09

Step-by-step 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

[tex] = \frac{2}{3} \times \frac{x}{5} [/tex]

[tex] = \frac{2x}{15} [/tex]

So, the fraction of girls who play sports

[tex] = \frac{number \: of \: observations \: involved}{total \: observations} [/tex]

[tex] = \frac{ \frac{2x}{15} }{x} [/tex]

[tex] = \bold{\frac{2}{15} }[/tex]

Hope you understand, if you've any doubts comment below ;))