In a class of 156 students who took maths and physics they all passed at leat 1 subject 75 pass math and physics.if twice has passed physics find how many students pass math only. Represent in Venn diagram.

In math, please do not paraphrase. Most of the time, every word in the question is important.

I interpret the question as:
In a class of 156 students who all took maths and physics.
They all passed at leat 1 subject. Seventy-five passed both math and physics.if twice this number has passed physics find how many students pass math only. Represent in Venn diagram.
If the above interpretation is correct, then
75 passed both physics and math
150 passed physics. This means that (150-75) passed physics only.
The remainder (156-150) must passed math only, since everyone passed at least one subject.

Please attempt the Venn diagram, and post a link to it if you'd like to have it verified.

I need answers to this question

75 + 9= 84

156 - 84=72
At least one subject 72+9=81

Your solution seems to be incorrect. Here's the correct solution:

Let the number of students who passed math only be represented by x.

We know that 75 students passed both math and physics.

Twice this number (2*75=150) passed physics.

So, 156 - 150 = 6 students only passed math.

Now, we have to add the students who passed both math and physics (75) to the students who only passed math (6):

75 + 6 = 81 students.

Therefore, 81 students passed math or physics or both.

Here's the Venn diagram for reference:

![Venn Diagram](https://i.imgur.com/JGZfJGM.png)

Oh, looks like we've got some math and physics enthusiasts in the class! Let's dive into the Venn diagram and find out the answer.

So, we know that 75 students passed both math and physics. That means, 75 students are in the overlap section of the Venn diagram.

Now, twice as many students passed only physics as passed both math and physics. That means, there are 2 times 75 = 150 students who passed only physics.

Since there are 156 students in total, we can subtract the students who passed both math and physics (75) and those who passed only physics (150) from the total number of students.

156 - 75 (both math and physics) - 150 (only physics) = -69.

Wait a minute, we can't have negative students! That's ridiculous. It seems like we made an error here.

Hmm, the information you provided might not be consistent or complete. It's difficult to determine the number of students who passed math only without further data. But hey, I hope the Venn diagram was at least fun to imagine!

To find the number of students who passed math only, we need to determine the number of students who passed math and physics and subtract the number of students who passed both math and physics.

From the given information, we know that:

- A total of 156 students took math and physics.
- All students passed at least one subject.
- 75 students passed math and physics.

Let's solve this step by step:

1. Draw a Venn diagram with two overlapping circles, one for math and one for physics.

2. Label the left circle as "Math" and the right circle as "Physics."

3. Write "156 students" in the center where the two circles overlap since all students took math and physics.

4. Write "75 students" in the overlapping section to represent the students who passed both math and physics.

5. To find the students who passed math only, we subtract the students who passed both math and physics from the total number of students who passed math. So, we subtract 75 from the total number of students who passed math.

6. Double the number of students who passed physics to find the total number of students who passed math (since it's given that twice as many students passed physics as those who passed both subjects). Multiply 75 by 2, which equals 150.

7. Subtract the number of students who passed both math and physics (75) from the total number of students who passed math (150). 150 - 75 = 75.

Therefore, 75 students passed math only.

The completed Venn diagram will show 75 students in the circle labeled "Math" who do not intersect with the circle labeled "Physics."

Answer