Question

Half for Mr. Carson’s students play a sport. Of the students, 2/3 or males. My Half of Mr. Carson’s students play a sport. Of the students, 2/3 or males. What fraction of the class is ma what fraction of the class is male and plays a sport ?

Answer 1

Answer:

The fraction of male student who play sport is $\frac{3}{4}$  

Step-by-step explanation:

Given as :

Out of the total number of students , the fraction of male = $\frac{2}{3}$ of total number of students

Let the total number of students = x

So, The fraction of male student = $\frac{2}{3}$ of x

I.e  The fraction of male student = $\frac{2 x}{3}$

Again

The number of students who play sports =  $\frac{1}{2}$ of total number of students

Or, The number of students who play sports =  $\frac{1}{2}$ of x

Or, The number of students who play sports =  $\frac{x}{2}$

Let The total number of male student who play sport = y

So, According to question

$\frac{2 x}{3}$ of y =  $\frac{x}{2}$

I.e $\frac{2 x}{3}$ × y =  $\frac{x}{2}$

or, y = $\frac{\frac{x}{2}}{\frac{2 x}{3}}$

∴ y = $\frac{3}{4}$

So,  The total number of male student who play sport = y =  $\frac{3}{4}$

Hence ,The fraction of male student who play sport is $\frac{3}{4}$  Answer