Analyzing University Enrollment Data to Find Ratios

This problem asks us to use the data from the provided table showing the number of girls enrolled in three different universities (A, B, and C) over several years (2015 to 2019). We need to find a specific ratio based on the enrollment numbers in the year 2018.

The question specifically asks for the ratio between:

1. The total number of girls enrolled in University C in the year 2018.
2. The total number of girls enrolled in University A and University B together in the same year, 2018.

Step-by-Step Calculation of the Ratio

First, let's identify the required numbers from the table for the year 2018:

• Number of girls in University C in 2018 = 15,000
• Number of girls in University A in 2018 = 20,000
• Number of girls in University B in 2018 = 25,000

Next, we need to calculate the total number of girls enrolled in University A and University B together in 2018:

Total girls in University A and University B in 2018 = Girls in A (2018) + Girls in B (2018)

Total girls in University A and University B in 2018 = $\text{20,000} + \text{25,000} = \text{45,000}$

Now, we can find the ratio between the number of girls in University C in 2018 and the combined number of girls in University A and University B in 2018:

Ratio = (Girls in University C in 2018) : (Total girls in University A and University B in 2018)

Ratio = $\text{15,000} : \text{45,000}$

To simplify this ratio, we find the greatest common divisor (GCD) of 15,000 and 45,000. Both numbers are multiples of 15,000.

• $\text{15,000} \div \text{15,000} = \text{1}$
• $\text{45,000} \div \text{15,000} = \text{3}$

So, the simplified ratio is $1 : 3$.

Comparing with the Options

We compare our calculated ratio with the given options:

• Option 1: 4 : 3
• Option 2: 3 : 4
• Option 3: 2 : 3
• Option 4: 1 : 3

Our calculated ratio of 1 : 3 matches Option 4.

Revision Table: Key Data Points

Additional Information on Ratio Calculation

A ratio is a comparison of two quantities. It shows how many times one quantity is contained within another. Ratios can be written in several ways, such as a:b, a/b, or "a to b". When working with ratios from data tables, it is important to:

• Identify the specific quantities being compared.
• Ensure the quantities are from the correct category and time period (in this case, girls enrolled in specific universities in 2018).
• Calculate the values if necessary (like summing enrollments from multiple universities).
• Express the ratio in its simplest form by dividing both parts by their greatest common divisor.

Understanding how to extract relevant data from tables and perform simple calculations like summing and finding ratios is crucial for data interpretation questions.