Calculating the Ratio of Children in Village V4 from Data

The question asks for the ratio of the total number of children from village V4 to the number of children attending school from the same village, V4. We are provided with the total number of children across all five villages and the total number of children attending school across all five villages, along with their percentage distributions per village.

Here is the relevant data from the table for Village V4:

First, we need to calculate the actual number of children in Village V4 and the number of children attending school from Village V4 based on the given total numbers and percentages.

Step 1: Calculate the Total Number of Children in Village V4

The total number of children in all villages is 5800.

The percentage of children in Village V4 is 18% of the total.

Total children in V4 $$= 18\% \text{ of } 5800$$

$$= \frac{18}{100} \times 5800$$

$$= 18 \times 58$$

$$= 1044$$

So, there are 1044 total children in Village V4.

Step 2: Calculate the Number of Children Attending School from Village V4

The total number of children attending school from all villages is 3600.

The percentage of children attending school from Village V4 is 21% of the total attending school.

Children attending school from V4 $$= 21\% \text{ of } 3600$$

$$= \frac{21}{100} \times 3600$$

$$= 21 \times 36$$

$$= 756$$

So, there are 756 children attending school from Village V4.

Step 3: Calculate the Ratio

The question asks for the ratio of the total number of children from village V4 to the number of children attending school from the same village.

Ratio $$= (\text{Total children in V4}) : (\text{Children attending school from V4})$$

Ratio $$= 1044 : 756$$

Step 4: Simplify the Ratio

To simplify the ratio $1044 : 756$, we need to find the greatest common divisor (GCD) of 1044 and 756 and divide both numbers by it.

Let's find the prime factorization of each number:

• $$1044 = 2 \times 522 = 2 \times 2 \times 261 = 2^2 \times 3 \times 87 = 2^2 \times 3 \times 3 \times 29 = 2^2 \times 3^2 \times 29$$
• $$756 = 2 \times 378 = 2 \times 2 \times 189 = 2^2 \times 3 \times 63 = 2^2 \times 3 \times 3 \times 21 = 2^2 \times 3^2 \times 7$$

The common prime factors are $2^2$ and $3^2$.

GCD $$= 2^2 \times 3^2 = 4 \times 9 = 36$$

Now, divide both parts of the ratio by the GCD (36):

• $$1044 \div 36 = 29$$
• $$756 \div 36 = 21$$

The simplified ratio is $$29 : 21$$

This ratio represents the relationship between the total number of children in Village V4 and the number of children from Village V4 who attend school.

Revision Table: Key Data Points for Village V4

The ratio calculated is the ratio of Calculated Number (Total Children in V4) to Calculated Number (Children Attending School from V4), which is $1044 : 756$, simplified to $29 : 21$.

Additional Information: Understanding Percentages and Ratios in Data Interpretation

Data interpretation questions often involve understanding how percentages relate to total values and how to compare quantities using ratios. Here are some points to remember:

• Percentage: A percentage represents a part out of one hundred. To find the actual value from a percentage, you multiply the percentage (as a decimal or fraction) by the total base value. For example, 18% of 5800 is calculated as $(18/100) \times 5800$.
• Ratio: A ratio is a comparison of two quantities. It shows how many times one quantity contains another. Ratios can be written as $a:b$ or $\frac{a}{b}$.
• Simplifying Ratios: Ratios should usually be simplified to their lowest terms by dividing both parts by their greatest common divisor (GCD). This makes the ratio easier to understand and compare.
• Data Tables: Carefully read the headings and labels in data tables. Understand what totals the percentages are based on, as different columns might be based on different total values (like total children vs. total children attending school).

Solving data interpretation problems requires attention to detail, careful reading of the question, and accurate calculation skills, especially when dealing with percentages and ratios from tables.