COVID-19 Affected Persons Data Analysis

This problem requires us to analyze the data provided in the table showing the number of persons affected by 'COVID-19' in five different cities and the ratio of affected males to females in those cities. We need to find the ratio of the number of affected females in City 'B' to the number of affected females in City 'D'.

Let's first look at the provided data table:

Calculating Affected Females in City 'B'

From the table, we see the following information for City 'B':

• Total affected persons in City 'B' = 54 Thousands
• Ratio of affected Male ∶ Female = 5 ∶ 4

The sum of the ratio parts for City 'B' is \(5 + 4 = 9\). This means that for every 9 affected persons, 5 are male and 4 are female.

The fraction of affected females in City 'B' is \(\frac{4}{9}\).

Number of affected females in City 'B' is calculated as:

\(\text{Affected Females (City B)} = \text{Total Affected (City B)} \times \text{Fraction of Females}\)

\(\text{Affected Females (City B)} = 54 \text{ Thousands} \times \frac{4}{9}\)

\(\text{Affected Females (City B)} = \frac{54 \times 4}{9} \text{ Thousands}\)

\(\text{Affected Females (City B)} = 6 \times 4 \text{ Thousands}\)

\(\text{Affected Females (City B)} = 24 \text{ Thousands}\)

Calculating Affected Females in City 'D'

From the table, we see the following information for City 'D':

• Total affected persons in City 'D' = 48 Thousands
• Ratio of affected Male ∶ Female = 7 ∶ 5

The sum of the ratio parts for City 'D' is \(7 + 5 = 12\). This means that for every 12 affected persons, 7 are male and 5 are female.

The fraction of affected females in City 'D' is \(\frac{5}{12}\).

Number of affected females in City 'D' is calculated as:

\(\text{Affected Females (City D)} = \text{Total Affected (City D)} \times \text{Fraction of Females}\)

\(\text{Affected Females (City D)} = 48 \text{ Thousands} \times \frac{5}{12}\)

\(\text{Affected Females (City D)} = \frac{48 \times 5}{12} \text{ Thousands}\)

\(\text{Affected Females (City D)} = 4 \times 5 \text{ Thousands}\)

\(\text{Affected Females (City D)} = 20 \text{ Thousands}\)

Finding the Ratio of Females in City 'B' and City 'D'

We need to find the ratio of the number of females in City 'B' to the number of females in City 'D'.

\(\text{Ratio (Females in City B : Females in City D)} = \text{Affected Females (City B)} \text{ : } \text{Affected Females (City D)}\)

\(\text{Ratio} = 24 \text{ Thousands : } 20 \text{ Thousands}\)

To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 4.

\(\text{Ratio} = \frac{24}{4} \text{ : } \frac{20}{4}\)

\(\text{Ratio} = 6 \text{ : } 5\)

Therefore, the ratio of the number of females in City 'B' and the number of females in City 'D' who are affected by 'COVID-19' is 6 ∶ 5.

Revision Table: COVID-19 Data Analysis

Ratio of Females (B:D) = 24:20 = 6:5.

Additional Information: Understanding Ratios and Proportions

A ratio is a comparison of two quantities. For example, a ratio of 5:4 means that for every 5 units of the first quantity, there are 4 units of the second quantity. When dealing with parts of a whole, the ratio parts are added together to find the total number of parts.

In this problem, the ratio of affected male to female tells us how the total number of affected persons is divided between males and females. If the ratio is \(m:f\), the total number of parts is \(m+f\). The fraction of females is \(\frac{f}{m+f}\) and the fraction of males is \(\frac{m}{m+f}\). To find the actual number of females or males, you multiply the total number of affected persons by the respective fraction.

Simplifying a ratio means dividing both terms of the ratio by their greatest common divisor (GCD) to get the ratio in its simplest form. For example, the ratio 24:20 is simplified by dividing both numbers by 4, resulting in 6:5.