Question
Download Solution PDFIn a class of 40 students, 20 have chosen only Biology and 15 have chosen Mathematics, but not Biology. Given that every student has chosen either Mathematics, or Biology, or both. Find the number of students who chose both Mathematics and Biology.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the number of students who chose both Mathematics and Biology be denoted by x.
- The total number of students who chose Biology = 20 + x.
- The total number of students who chose Mathematics = 15 + x.
- Since every student has chosen either Mathematics, Biology, or both, we have:
(20 + x) + (15 + x) - x = 40 - Simplifying the equation:
20 + 15 + x = 40
35 + x = 40
x = 5
Therefore, the number of students who chose both Mathematics and Biology is 5.
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