Analyzing Teacher Distribution Data

The provided table gives us information about the distribution of teachers across six different cities (A to F) and the number of male teachers in each city. The total number of teachers across all six cities is given as 4500.

We need to find the sum of the number of male teachers in City F, the number of female teachers in City C, and the number of female teachers in City B.

Step-by-Step Calculation

First, let's determine the total number of teachers in Cities B and C based on their percentage distribution from the total of 4500 teachers.

• Total Teachers in City B:

City B has 16% of the total teachers.

\(\text{Total teachers in City B} = 16\% \text{ of } 4500\)

\(\text{Total teachers in City B} = \frac{16}{100} \times 4500\)

\(\text{Total teachers in City B} = 16 \times 45\)

\(\text{Total teachers in City B} = 720\)

• Total Teachers in City C:

City C has 28% of the total teachers.

\(\text{Total teachers in City C} = 28\% \text{ of } 4500\)

\(\text{Total teachers in City C} = \frac{28}{100} \times 4500\)

\(\text{Total teachers in City C} = 28 \times 45\)

\(\text{Total teachers in City C} = 1260\)

Now, we can calculate the number of female teachers in Cities B and C by subtracting the number of male teachers (provided in the table) from the total number of teachers in that city.

• Female Teachers in City B:

From the table, the number of male teachers in City B is 400. The total teachers in City B are 720.

\(\text{Female teachers in City B} = \text{Total teachers in City B} - \text{Male teachers in City B}\)

\(\text{Female teachers in City B} = 720 - 400\)

\(\text{Female teachers in City B} = 320\)

• Female Teachers in City C:

From the table, the number of male teachers in City C is 600. The total teachers in City C are 1260.

\(\text{Female teachers in City C} = \text{Total teachers in City C} - \text{Male teachers in City C}\)

\(\text{Female teachers in City C} = 1260 - 600\)

\(\text{Female teachers in City C} = 660\)

• Male Teachers in City F:

From the table, the number of male teachers in City F is directly given as 100.

\(\text{Male teachers in City F} = 100\)

Finally, we need to find the sum of male teachers in City F, female teachers in City C, and female teachers in City B.

\(\text{Required Sum} = (\text{Male teachers in City F}) + (\text{Female teachers in City C}) + (\text{Female teachers in City B})\)

\(\text{Required Sum} = 100 + 660 + 320\)

\(\text{Required Sum} = 760 + 320\)

\(\text{Required Sum} = 1080\)

Therefore, the total number of male teachers in City F, female teachers in City C, and female teachers in City B together is 1080.

Revision Table - Teacher Distribution Analysis

From the table, we need:

• Male teachers in City F: 100
• Female teachers in City C: 660
• Female teachers in City B: 320

Sum = \(100 + 660 + 320 = 1080\).

Additional Information - Data Interpretation Basics

This question involves interpreting data presented in a table. Key skills required include:

• Understanding percentages to calculate values from a total.
• Reading specific data points from the table.
• Performing basic arithmetic operations (addition, subtraction, multiplication).
• Identifying the required components for the final calculation (male vs. female teachers in specific cities).

When dealing with percentage distributions, always remember that the percentages for all categories should ideally add up to 100% of the total.