Question

29% of a universitys freshman class are majoring in economics. if 2668 students in the freshman class are economics majors, how many students are in the freshman class?

Explanation:

Step1: Define the variable

Let \( x \) be the total number of students in the freshman class.

Step2: Set up the equation

We know that 29% of \( x \) is equal to 2668. Mathematically, this can be written as \( 0.29x = 2668 \) (since 29% is equivalent to 0.29 in decimal form).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.29: \( x=\frac{2668}{0.29} \)

Step4: Calculate the value

\( \frac{2668}{0.29} = 9200 \)

Answer:

The total number of students in the freshman class is 9200.