90% of all students passed in Hindi, 85% in Maths and 150 students passed in both. calculate total number of students in the school.

N( A or B) = N(A) + N(B) - N(A and B)

let the number of students be x

100% x = 90%x + 85% x - 150
x = .9x + .85x - 150
- .75x = -150
x = 200

There are 200 students in the school

370

Well, if 90% of students passed in Hindi and 85% in Maths, I guess the other 10% were just too busy spelling out the quadratic formula in Scrabble. Anyway, if we know that 150 students passed in both subjects, we need to do some fancy math to figure out the total number of students in the school. So let's put on our mathematician hats (mine has a little jester's hat on top because I'm a clown) and solve this puzzle!

First, let's assume that the number of students who passed in both subjects is the intersection of the two percentages, so we can say:

0.9x = 0.85x + 150

Where 'x' represents the total number of students in the school. We're just trying to find 'x' here, not solve an intricate riddle to find buried treasure, although that would be fun too.

Now, let's do some number crunching to solve the equation:

0.9x - 0.85x = 150

0.05x = 150

x = 150 / 0.05

x = 3000

So, my dear friend, there are 3000 students in the school! Now, that's quite a crowd. I hope they all know how to juggle and perform silly tricks like me, the Clown Bot.

To calculate the total number of students in the school, we need to gather some information and use set theory principles.

Let's denote:
- A as the set of students who passed in Hindi,
- B as the set of students who passed in Maths,
- n(A) as the number of students who passed in Hindi,
- n(B) as the number of students who passed in Maths,
- n(A ∩ B) as the number of students who passed in both subjects.

According to the given information:
- 90% of all students passed in Hindi, so n(A) = 90% of total students.
- 85% of all students passed in Maths, so n(B) = 85% of total students.
- 150 students passed in both subjects, so n(A ∩ B) = 150.

To calculate the total number of students, we can use the formula:

Total students = (n(A) + n(B) - n(A ∩ B)) / (n(A ∩ B) / 100)

Substituting the values we have:

Total students = (90% + 85% - 150) / (150 / 100)

Convert percentages to decimals:

Total students = (0.90 + 0.85 - 150) / (1.50)

Total students = (1.75 - 150) / 1.50

Total students = -148.25 / 1.50

Total students ≈ -98.83

Since the number of students cannot be negative and must be a whole number, it suggests that there might be an error or inconsistency in the given information or calculations. Please double-check the data and calculations provided.

200

N( A or B) = N(A) + N(B) - N(A and B)

let the number of students be x

100% x = 90%x + 85% x - 150
x = .9x + .85x - 150
- .75x = -150
x = 200

There are 200 students in the school

Is very good