Analyzing College Admission Data

The question asks us to compare the number of colleges where the demand for seats is higher than the available intake versus the number of colleges where the available seats are higher than the demand.

Comparing Demand and Intake for Each College

First, let's examine the data provided for each college to see if the demand (number of applications received) is greater than the intake (available seats), or vice versa.

Counting Colleges in Each Category

Now, we count how many colleges fall into each comparison category:

• Colleges with Demand > Intake: Colleges A, C, and E. That's a total of 3 colleges.
• Colleges with Intake > Demand: Colleges B and D. That's a total of 2 colleges.

Calculating the Required Ratio

The question asks for the ratio of the number of colleges having more demand than available seats to those having more available seats than demand.

The ratio can be expressed as:

$$ \text{Ratio} = \frac{\text{Number of colleges with Demand > Intake}}{\text{Number of colleges with Intake > Demand}} $$

Substituting the counts we found:

$$ \text{Ratio} = \frac{3}{2} $$

Therefore, the ratio is 3:2.