Suppose that 100 students were given a biology exam and a chemistry exam. Assume that 36 passed the biology exam but not the chemistry exam, 25 passed the chemistry exam but not the biology exam, and 15 passed neither exam. How many passed the chemistry exam?
A)25
B)64
C)49
D)24

Question

Quizplus · Accepted Answer

To find the number of students who passed the chemistry exam, we need to consider both those who passed only the chemistry exam and those who passed both exams. We know that 36 passed only the biology exam, 25 passed only the chemistry exam, and 15 passed neither. Therefore, the total number of students who passed both exams can be calculated by subtracting the sum of these three groups from the total number of students: 100 - 36 - 25 - 15 = 24. Thus, the total number of students who passed the chemistry exam is the sum of those who passed only the chemistry exam and those who passed both exams: 25 (only chemistry) + 24 (both exams) = 49.

Suppose That 100 Students Were Given a Biology Exam and a Chemistry