Directions for Questions 1-3 : In a city there are 7 schools with total of 96,000 students. Percentage of students in each school are given below in the pie chart.
The table represents Ratios of students in Maths, Chemistry and Physics respectively in each of these schools.


1] Find total of number of students studying physics in school B and chemistry students in school D?   
*
1 point
11656
11679
11664
11246
2] In school F, the number of Math's students is how much percent more than the number of Physics students?     
*
1 point
33%
50%
75%
100%
3] Find the difference between number of students studying Chemistry in school B and Physics students in school D?   
*
1 point
10848
2160
12480
4512

To solve these questions, we need to use both the percentage distribution of students across the schools (from the pie chart) and the ratios of students studying Mathematics, Chemistry, and Physics in each school (from the table).

Let's denote the total number of students as \( S \). The total number of students is given as 96,000.

### Question 1: Find the total number of students studying Physics in school B and Chemistry students in school D.

1. **Identify the percentage of students in schools B and D.**
   Let's assume the percentage for school B is \( P_B \% \) and for school D is \( P_D \% \).

2. **Calculate the total number of students in each school.**
   - Total students in school B = \( \frac{P_B}{100} \times 96000 \)
   - Total students in school D = \( \frac{P_D}{100} \times 96000 \)

3. **Use the ratios from the table for Physics in school B and Chemistry in school D.**
   Let's assume the ratio for Physics in school B is \( r_{PB} \) and for Chemistry in school D is \( r_{CD} \).

4. **Calculate the number of students studying Physics in school B and Chemistry in school D.**
   - Physics students in school B = \( r_{PB} \times \) (Total students in school B)
   - Chemistry students in school D = \( r_{CD} \times \) (Total students in school D)

5. **Add the two numbers to get the final answer.**

### Question 2: In school F, the number of Math's students is how much percent more than the number of Physics students?

1. **Identify the percentage of students in school F.**
   Let's assume the percentage for school F is \( P_F \% \).

2. **Calculate the total number of students in school F.**
   - Total students in school F = \( \frac{P_F}{100} \times 96000 \)

3. **Use the ratios from the table for Math and Physics in school F.**
   Let's assume the ratio for Math in school F is \( r_{MF} \) and for Physics in school F is \( r_{PF} \).

4. **Calculate the number of students studying Math and Physics in school F.**
   - Math students in school F = \( r_{MF} \times \) (Total students in school F)
   - Physics students in school F = \( r_{PF} \times \) (Total students in school F)

5. **Calculate the percentage difference.**
   \[
   \text{Percentage Difference} = \left(\frac{\text{Math students - Physics students}}{\text{Physics students}}\right) \times 100\%
   \]

### Question 3: Find the difference between the number of students studying Chemistry in school B and Physics students in school D.

1. **Follow the same steps to calculate the number of Chemistry students in school B and Physics students in school D as we did in Question 1.**

2. **Subtract the Physics students in school D from the Chemistry students in school B to find the difference.**

Please provide the percentages and ratios from the pie chart and table, respectively, so we can calculate the answers.

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**Relative Questions**:
1. How would the answers change if the total number of students were increased?
2. What would be the impact if the ratio of Physics students increased in any one school?
3. How does changing the percentage distribution across schools affect the overall student numbers?
4. How can we verify the accuracy of these calculations?
5. What assumptions are we making when we use these ratios?

**Tip**: Always double-check your percentage calculations, as small errors can lead to large discrepancies in final results.

Learn how to solve math problems involving percentages and ratios in schools. This page covers calculations for physics, chemistry, and math students across multiple schools, providing step-by-step solutions and explanations. Suitable for high school students.

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