N a class of 100 students, there are 50 students who passed the math test, while 70 students who passed the english test. there are 5 students who failed both the math test and the english test. how many students passed both the tests
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students passed" and also "in both subjects".
now study the following arguments:
1)first we will find the no. of student actually passed (atleast in one subject)
total student = 100
failed in both = 5 so we get 95 student that passed the exam.
2)now 50 students passed in math + 70 stu. for eng.=120 which is different from value we got previously and this could only possible if there are (120-95) students that passed in both the subjects and we are calculating them two times when adding 50 & 70.
so ans is 120-95= 25 students.
now study the following arguments:
1)first we will find the no. of student actually passed (atleast in one subject)
total student = 100
failed in both = 5 so we get 95 student that passed the exam.
2)now 50 students passed in math + 70 stu. for eng.=120 which is different from value we got previously and this could only possible if there are (120-95) students that passed in both the subjects and we are calculating them two times when adding 50 & 70.
so ans is 120-95= 25 students.
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