In a class of 60 students,the number of students who passed biology is 6 more than the number who passed chemistry.Every student passed at least one of the two subjects.i.how many students passed biology ii.how many students passed chemistry iii.how many students passed only one subject

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To solve this problem, let's break it down step by step:

Let's assume the number of students who passed chemistry is x.

i. To find the number of students who passed biology, we need to add 6 to the number of students who passed chemistry:

Number of students who passed biology = x + 6

ii. To find the number of students who passed chemistry, we already defined it as x.

iii. To find the number of students who passed only one subject, we need to subtract the number of students who passed both subjects from the total number of students who passed either subject.

To determine the number of students who passed both subjects, we need to subtract the number of students who only passed chemistry or biology from the total number of students:

Number of students who passed both subjects = Total number of students who passed either subject - Number of students who passed only one subject

Since every student passed at least one subject, we know that the total number of students who passed either subject is equal to the total number of students in the class, which is 60:

Total number of students who passed either subject = Total number of students = 60

Now, to find the number of students who passed only one subject, we subtract the number of students who passed both subjects from the total number of students:

Number of students who passed only one subject = Total number of students - Number of students who passed both subjects

So, to summarize:

i. Number of students who passed biology = x + 6
ii. Number of students who passed chemistry = x
iii. Number of students who passed only one subject = Total number of students - Number of students who passed both subjects

Now, you just need to calculate the values of x (the number of students who passed chemistry) and then substitute it into the formulas to find the answer to each question.

solve

If x take both,

b+c-x = 60
b = c+6

2c+6-x = 60
2c-x = 54

So, unless you know something more, there are many possible solutions, such as

x=0, b=33, c=27
x=2, b=34, c=28
...
x=52, b=59, c=53
x=54, b=60, c=54