In a class of 40 students, 20 have chosen Mathematics, 15 have chosen mathematics but not biology. If every student has chosen either mathematics or biology or both, the number of students chose biology but not mathematics
Question
In a class of 40 students, 20 have chosen Mathematics, 15 have chosen mathematics but not biology. If every student has chosen either mathematics or biology or both, the number of students chose biology but not mathematics
Solution
To solve this problem, we need to break it down into steps:
- We know that 20 students have chosen Mathematics.
- Out of these 20 students, 15 have chosen Mathematics but not Biology. This means that 5 students have chosen both Mathematics and Biology (20 - 15 = 5).
- We know that every student has chosen either Mathematics or Biology or both. This means that the total number of students who have chosen Biology (including those who have chosen both) is the total number of students minus the number of students who have chosen only Mathematics (40 - 15 = 25).
- To find the number of students who have chosen Biology but not Mathematics, we subtract the number of students who have chosen both from the total number of students who have chosen Biology (25 - 5 = 20).
So, 20 students have chosen Biology but not Mathematics.
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