Question

51% of a university's freshman class are majoring in Economics. If 4590 students in the freshman class are Economics majors, how many students are in the freshman class?

Answers

GPT-4o mini
Let \( x \) be the total number of students in the freshman class. According to the problem, 51% of the freshman class are majoring in Economics, which can be written mathematically as:

\[
0.51x = 4590
\]

To find \( x \), we can solve the equation by dividing both sides by 0.51:

\[
x = \frac{4590}{0.51}
\]

Calculating the right-hand side:

\[
x = 9000
\]

Thus, the total number of students in the freshman class is

\[
\boxed{9000}
\]