29% of a universitys freshman class are majoring in economics. if 2668 students in the freshman class are…

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?

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?

Answer

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 2668. Mathematically, this can be written as ( 0.29x = 2668 ).

Step3: Solve for ( x )

To find ( x ), we divide both sides of the equation by 0.29: ( x=\frac{2668}{0.29} ). Calculating the right - hand side, ( \frac{2668}{0.29}=9200 ).

Answer:

The number of students in the freshman class is 9200.