This problem requires us to analyze the provided table which shows the distribution of employees across six different universities, including the total number of employees and the percentage breakdown by gender (Males, Females, Transgenders) for each university. We need to find the ratio of the number of males working in University D to the number of females working in University C.

Calculating the Number of Males in University D

From the table, we see the total number of employees in University D is 6000, and the percentage of males is 35%. To find the actual number of males, we calculate 35% of 6000.

Number of Males in University D $= 35\% \text{ of } 6000$

Using mathematical notation:

\( \text{Number of Males in D} = \frac{35}{100} \times 6000 \)

\( \text{Number of Males in D} = 35 \times 60 \)

\( \text{Number of Males in D} = 2100 \)

So, there are 2100 male employees in University D.

Calculating the Number of Females in University C

From the table, we see the total number of employees in University C is 2625, and the percentage of females is 56%. To find the actual number of females, we calculate 56% of 2625.

Number of Females in University C $= 56\% \text{ of } 2625$

Using mathematical notation:

\( \text{Number of Females in C} = \frac{56}{100} \times 2625 \)

We can simplify the fraction $\frac{56}{100}$ by dividing the numerator and denominator by 4:

\( \frac{56}{100} = \frac{56 \div 4}{100 \div 4} = \frac{14}{25} \)

Now, the calculation becomes:

\( \text{Number of Females in C} = \frac{14}{25} \times 2625 \)

We can divide 2625 by 25:

\( 2625 \div 25 = 105 \)

So, the calculation is:

\( \text{Number of Females in C} = 14 \times 105 \)

\( \text{Number of Females in C} = 1470 \)

So, there are 1470 female employees in University C.

Determining the Ratio

We need to find the ratio of the number of males working in University D to the number of females working in University C. This is the ratio of 2100 to 1470.

Ratio = Number of Males in D : Number of Females in C

Ratio = \( 2100 : 1470 \)

To simplify the ratio, we can divide both numbers by their greatest common divisor. We can start by dividing by common factors.

• Divide both numbers by 10: \( 210 : 147 \)
• Now, let's find a common factor for 210 and 147. Both are divisible by 7 (since \( 210 = 7 \times 30 \) and \( 147 = 7 \times 21 \)): \( 30 : 21 \)
• Now, both 30 and 21 are divisible by 3: \( 10 : 7 \)

The simplified ratio is \( 10:7 \).

Revision Table: Key Calculations

Additional Information: Understanding Ratios and Percentages

This problem involves understanding how to calculate percentages of a given total and how to express two quantities as a ratio. A percentage is a fraction of 100, so X% of a number N is calculated as \(\frac{X}{100} \times N\). A ratio compares two quantities. A ratio A:B means that for every A units of the first quantity, there are B units of the second quantity. Ratios are typically expressed in their simplest form by dividing both parts of the ratio by their greatest common divisor.