Question

3% of a university's freshman class are majoring in Computer Science. If 231231 students in the freshman class are Computer Science majors, how many students are in the freshman class?

Answer 1

To find the total number of students in the freshman class, we can use the information that 3% of the students are majoring in Computer Science and that there are 231,231 Computer Science majors.

Let \( x \) represent the total number of students in the freshman class. Since 3% of the students are Computer Science majors, we can represent this relationship with the equation:

\[
0.03x = 231231
\]

To solve for \( x \), we divide both sides of the equation by 0.03:

\[
x = \frac{231231}{0.03}
\]

Calculating the right-hand side:

\[
x = 231231 \div 0.03 = 231231 \times \frac{100}{3} = 231231 \times 33.3333
\]

Calculating this gives:

\[
x = 231231 \times 33.3333 \approx 6936930.333
\]

Since the number of students must be a whole number, we can calculate:

\[
x = 231231 \div 0.03 = 7707700
\]

So, the total number of students in the freshman class is:

\[
\boxed{7707700}
\]

Double-checking the operation:

\[
0.03 \times 7707700 = 231231
\]

The calculations are confirmed. Thus, the total number of students in the freshman class is indeed:

\[
\boxed{7707700}
\]