Understanding the City Population Data and Ratio Calculation

The question asks us to find the ratio of the number of overweight women in the year 2018 to the number of overweight men in the year 2020. To do this, we need to extract the relevant data from the provided table and perform the necessary calculations.

Let's look at the data for the specified years and categories from the table:

Calculating Overweight Women in 2018

To find the number of overweight women in 2018, we use the total number of women in 2018 and the percentage of overweight women for that year.

• Total women in 2018 = 30000
• Percentage of overweight women in 2018 = 25%
• Number of overweight women in 2018 = 25% of 30000

Calculation:

$$ \text{Overweight women in 2018} = \frac{25}{100} \times 30000 $$

$$ = 0.25 \times 30000 $$

$$ = 7500 $$

So, the number of overweight women in 2018 was 7500.

Calculating Overweight Men in 2020

Similarly, to find the number of overweight men in 2020, we use the total number of men in 2020 and the percentage of overweight men for that year.

• Total men in 2020 = 35000
• Percentage of overweight men in 2020 = 12%
• Number of overweight men in 2020 = 12% of 35000

Calculation:

$$ \text{Overweight men in 2020} = \frac{12}{100} \times 35000 $$

$$ = 0.12 \times 35000 $$

$$ = 4200 $$

So, the number of overweight men in 2020 was 4200.

Finding the Ratio

Now we need to find the ratio of the number of overweight women in 2018 to the number of overweight men in 2020.

$$ \text{Ratio} = \text{Overweight women in 2018} : \text{Overweight men in 2020} $$

$$ \text{Ratio} = 7500 : 4200 $$

Simplifying the Ratio

We need to simplify the ratio 7500 : 4200 to its simplest form. We can divide both numbers by common factors.

• Divide both by 100: \( \frac{7500}{100} : \frac{4200}{100} \implies 75 : 42 \)
• Now, find a common factor for 75 and 42. Both are divisible by 3.
• Divide both by 3: \( \frac{75}{3} : \frac{42}{3} \implies 25 : 14 \)

The simplified ratio is 25 : 14.

This ratio represents the relationship between the number of overweight women in 2018 and the number of overweight men in 2020.

Revision Table: Key Data Points

Additional Information on Ratio and Percentage Calculations

Ratio: A ratio is a comparison of two quantities. It shows how many times one quantity is contained in another. Ratios can be written with a colon (a:b), as a fraction (a/b), or using the word "to" (a to b).

Percentage: A percentage is a rate, number, or amount in each hundred. It is calculated as \( \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \). Conversely, to find a part when you have the whole and the percentage, you calculate \( \text{Part} = \frac{\text{Percentage}}{100} \times \text{Whole} \). This is exactly what we did to find the number of overweight individuals in each category.

Data interpretation questions often require calculating percentages and ratios based on the information presented in tables or charts. Carefully reading the question to identify which specific data points and years are needed is crucial.