Question

4) Out of 200 students in a class X, 150 like football
and 120 like cricket. If the number of students who
like cricket only is one-third of the number of students
who like football only then using Venn-diagram, find the
number of students who like both games (i) Football only
and none of these games
​

Answer 1

Answer: The is answer is 90 students

Step-by-step explanation:

if 120 is 1/3 of the number of students then 120 x 3 is 360 ( the number of students )

If 120 is 1/3 of the number of students then 30 is 1/12 of the number of students. 120 then is 4/12

So 150 is 5/12 of the number of students.

5/12 + 4/12 = 9/12

12/12 - 9/12 = 3/12

3/12 = 30 x 3 = 90

Check: 30 = 1/12 , 12/12 = 360

120+150+90= 360

IT IS CORRECT!!!