Answer :
Out of 400 students, 120 students would pick math as their favorite subject.
Data provided to us
fav subject students
Math 6
Science 3
English 4
History 7
Hence the total becomes 20 students
we have to calculate students whose favorite subject is math from 400 students
students with math as fav subject out of 20 students = 6
students with math as fav subject out of 400 students = (6 / 20) x 400
= 120 students
we can verify it as
%age of students out of 20 , who like math = 6/20 x 100
= 30 %
similarly, %age of students out of 400, who like math= 120/400 x 100
= 30 %
As we can see both the percentages are same. and the answer is verified .
So 120 students would pick math as their favorite subject out of 400 students.
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