in a class of 60 students, the number of students who passed biology is 6 more the number of student who passed chemistry. Every student passed at least 1 subject and 8 passed both subject. How many passed chemistry
b=c+6
b+c=60+8
c = 31
math
To find out how many students passed chemistry, we need to solve for the number of students who passed biology first.
Let's assume the number of students who passed chemistry is x.
According to the given information, the number of students who passed biology is 6 more than the number of students who passed chemistry. So, the number of students who passed biology is (x + 6).
Now, we know that a total of 8 students passed both subjects. This means that these 8 students are counted in both the number of chemistry and biology students.
So, let's subtract these 8 students from the total number of students who passed both chemistry and biology.
Total number of students who passed biology (including those who passed both): (x + 6)
Total number of students who passed chemistry (including those who passed both): x
Total number of students who passed both chemistry and biology: 8
To get the actual number of students who passed biology only, we subtract the number of students who passed both subjects from the total number of students who passed biology:
Actual number of students who passed biology only = (x + 6) - 8 = x - 2
Since every student passed at least one subject, the sum of students who passed chemistry only and those who passed both should equal the total number of students, which is 60:
x + (x - 2) + 8 = 60
Simplifying the equation:
2x + 6 = 60
2x = 60 - 6
2x = 54
x = 54 / 2
x = 27
Therefore, 27 students passed chemistry.