In a class of 150 students, 50 students passed in mathematics, 40 students failed only in chemistry and 20 students failed in both the subjects . How many students passed exactly in one subject?
Question
In a class of 150 students, 50 students passed in mathematics, 40 students failed only in chemistry and 20 students failed in both the subjects . How many students passed exactly in one subject?
Solution
To solve this problem, we need to break it down into parts:
- Total students in the class = 150
- Students who passed in Mathematics = 50
- Students who failed only in Chemistry = 40
- Students who failed in both subjects = 20
First, we need to find out how many students failed in Mathematics. This would be the students who failed in both subjects (Mathematics and Chemistry) which is 20.
Next, we need to find out how many students passed in Chemistry. This would be the total number of students minus the students who failed only in Chemistry and the students who failed in both subjects. So, 150 (total students) - 40 (failed only in Chemistry) - 20 (failed in both) = 90 students passed in Chemistry.
Now, to find out how many students passed exactly in one subject, we add the number of students who passed in Mathematics and the number of students who passed in Chemistry, and then subtract the number of students who passed in both subjects (which is the same as the number of students who failed in both subjects, since if they failed in both, they couldn't have passed in both). So, 50 (passed in Mathematics) + 90 (passed in Chemistry) - 20 (failed in both) = 120 students passed exactly in one subject.
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