In a class 80% students passed in sst ,85% in math ;75%in both subjects .if 40%students failed in both subjects .tell total number of students
To find the total number of students, we can use the information given about the percentages of students who passed or failed in each subject.
Let:
- P(SST) be the percentage of students who passed in SST (80%)
- P(Math) be the percentage of students who passed in Math (85%)
- P(Both) be the percentage of students who passed in both subjects (75%)
- P(Fail) be the percentage of students who failed in both subjects (40%)
Let's assume there are 'n' total students in the class.
From the given information, we can infer the following:
- P(SST) = P(Both) + P(SST but not Math) + P(Fail in both subjects)
- P(Math) = P(Both) + P(Math but not SST) + P(Fail in both subjects)
Since we are given that 75% of the students passed in both subjects, we know P(Both) = 75%. Therefore, we can rewrite the above equations as:
80% = 75% + P(SST but not Math) + 40%
85% = 75% + P(Math but not SST) + 40%
Solving these equations will give us the values of P(SST but not Math) and P(Math but not SST). However, we can see that the values of P(SST but not Math) and P(Math but not SST) are not explicitly specified in the question.
Without that information, we cannot determine the exact total number of students in the class.