Answer:
30
Explanation:
Let x be the amount of students in the class.
We're told (4/13) of all the students play netball. 8 students in total play netball according to the diagram (6 play netball only, 2 play netball and basketball). That means (4/13) of the total students is 8. A fraction of a number is found by multiplying that fraction by the number so (4/13) of x equal to 8 can be written as:
(4/13)x=8
Now solve for x:
(4/13)x=8
4x=8*13
4x=104
x=26
So there are 26 children in the class. Since we're told each student plays at least one of the sports, we know the amount of people who play basketball only is equal to the total number of students minus the amount who play netball:
36-8=28
So 28 play basketball only, and as we know, 2 play both basketball and netball, so the total number of students playing basketball is 28+2=30.