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 ?

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-12-17T16:17:37+01:00

Answer:

The fraction of male student who play sport is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given as :

Out of the total number of students , the fraction of male = [tex]\frac{2}{3}[/tex] of total number of students

Let the total number of students = x

So, The fraction of male student = [tex]\frac{2}{3}[/tex] of x

I.e The fraction of male student = [tex]\frac{2 x}{3}[/tex]

Again

The number of students who play sports = [tex]\frac{1}{2}[/tex] of total number of students

Or, The number of students who play sports = [tex]\frac{1}{2}[/tex] of x

Or, The number of students who play sports = [tex]\frac{x}{2}[/tex]

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

So, According to question

[tex]\frac{2 x}{3}[/tex] of y = [tex]\frac{x}{2}[/tex]

I.e [tex]\frac{2 x}{3}[/tex] × y = [tex]\frac{x}{2}[/tex]

or, y = [tex]\frac{\frac{x}{2}}{\frac{2 x}{3}}[/tex]

∴ y = [tex]\frac{3}{4}[/tex]

So, The total number of male student who play sport = y = [tex]\frac{3}{4}[/tex]

Hence ,The fraction of male student who play sport is [tex]\frac{3}{4}[/tex] Answer