Let's break down the problem step by step using the data provided in the table about teachers in the university.

Understanding the Teacher Distribution Data

The table shows how the total number of teachers (1600) is distributed among six subjects (A-F) by percentage and the ratio of male to female teachers within each subject.

The total number of teachers in the university is given as 1600.

Calculating the Number of Teachers in Each Subject

To find the number of teachers in a specific subject, we use the percentage given for that subject and the total number of teachers.

• Number of teachers in a subject = (Percentage for the subject / 100) * Total number of teachers

Calculating Male and Female Teachers using Ratio

For subjects where we need the number of male or female teachers, we use the given ratio. If the ratio of male to female is M:F, the total parts in the ratio are M + F. The number of male teachers is (M / (M+F)) * Total teachers in that subject, and female teachers are (F / (M+F)) * Total teachers in that subject.

Step-by-Step Solution

Step 1: Calculate the total number of teachers in Subject F

Subject F has 22% of the total teachers.

Total teachers in Subject F = $\frac{22}{100} \times 1600$

Total teachers in Subject F = $0.22 \times 1600 = 352$

So, there are 352 teachers in Subject F.

Step 2: Calculate the number of teachers in Subject A and Male teachers in Subject A

Subject A has 13% of the total teachers.

Total teachers in Subject A = $\frac{13}{100} \times 1600$

Total teachers in Subject A = $0.13 \times 1600 = 208$

The ratio of Male to Female teachers in Subject A is 1:7. Total parts in the ratio = $1 + 7 = 8$.

Number of Male teachers in Subject A = $\frac{1}{8} \times 208$

Number of Male teachers in Subject A = $1 \times \frac{208}{8} = 1 \times 26 = 26$

So, there are 26 male teachers in Subject A.

Step 3: Calculate the number of teachers in Subject B and Male teachers in Subject B

Subject B has 18% of the total teachers.

Total teachers in Subject B = $\frac{18}{100} \times 1600$

Total teachers in Subject B = $0.18 \times 1600 = 288$

The ratio of Male to Female teachers in Subject B is 5:3. Total parts in the ratio = $5 + 3 = 8$.

Number of Male teachers in Subject B = $\frac{5}{8} \times 288$

Number of Male teachers in Subject B = $5 \times \frac{288}{8} = 5 \times 36 = 180$

So, there are 180 male teachers in Subject B.

Step 4: Calculate the total number of male teachers in Subject A and Subject B together

Total male teachers in A and B = Male teachers in A + Male teachers in B

Total male teachers in A and B = $26 + 180 = 206$

So, there are 206 male teachers in Subject A and Subject B combined.

Step 5: Calculate the difference

We need to find the difference between the total number of teachers in Subject F and the total number of male teachers in Subject A and Subject B together.

Difference = (Total teachers in Subject F) - (Total male teachers in Subject A and B)

Difference = $352 - 206 = 146$

The difference is 146.

Result

The difference between the total number of teachers in Subject F and the total number of male teachers in Subject A and Subject B together is 146.

Revision Table: University Teacher Data Analysis

Difference = Total teachers (F) - (Male teachers (A) + Male teachers (B))

Difference = $352 - (26 + 180) = 352 - 206 = 146$

Additional Information: Data Interpretation Basics

This problem requires skills in data interpretation from tables. Key concepts used include:

• Percentage Calculation: Finding a part of a whole when given as a percentage. Formula: Part = (Percentage/100) * Whole.
• Ratio and Proportion: Dividing a quantity into parts based on a given ratio. If a quantity Q is divided in the ratio M:F, the first part is $\frac{M}{M+F} \times Q$ and the second part is $\frac{F}{M+F} \times Q$.
• Difference: Calculating the subtraction of one value from another.

These are fundamental skills for solving data interpretation questions often found in quantitative aptitude sections of exams.