Understanding the Class Ranking Problem

This question asks us to find the total number of students in a class. We are given Mr. Into's position in the class, counted from both the top and the bottom. This is a common type of ranking problem.

Analyzing the Given Information

We know the following details about Mr. Into's rank:

• Rank from the top: 96
• Rank from the bottom: 31

Calculating the Total Number of Students

To find the total number of students, we can add his rank from the top and his rank from the bottom. However, Mr. Into himself is counted in both ranks. Therefore, we need to subtract 1 from the sum to avoid counting him twice.

The formula to calculate the total number of students (Total) in a class is:

$Total = (Rank from Top) + (Rank from Bottom) - 1$

Let's apply this formula using the given ranks:

$Total = 96 + 31 - 1$

First, add the ranks:

$96 + 31 = 127$

Now, subtract 1 because Mr. Into was counted in both the top and bottom rankings:

$127 - 1 = 126$

So, there are 126 students in the class.

Step-by-Step Solution Summary

1. Identify the rank from the top (96).
2. Identify the rank from the bottom (31).
3. Add the two ranks together: $96 + 31 = 127$.
4. Subtract 1 from the sum to correct for double-counting the student: $127 - 1 = 126$.

Therefore, the total number of students in the class is 126.