Out of 100 students, 70 passed in
Maths, 60 passed in Science and
20 0f them failed in both subject
find the number of students who
passed in both subjects by using
venn- digram
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Answer:
Example here:
Let the total no of students be 100x
No of students failed =10*100x /100 = 10x
Thus , no of students passed = 100x - 10x = 90x
No of students passed in english = 7* 100x /100 =70x
No of students passed in maths = 8*100x / 100 =80x
Therefore no of students who passed in both = (80x + 70x) - 90x = 60 x
{{ Draw a venn diagram to understand this point ,
Or you could think like this:- when we add no of students passing in m and e individually ,we are counting those students who passed in both twice ,
Thus total students passed will be sum of no of students passed in maths and english individually - those who passed both.
Rearrange this eqn to get the one used above}}
Thus 60x = 144
Or, 100x = (144 * 100)/60=240
Therefore total no of students = 240
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