Solve the Problem Using Matrices How Many Female Students Are in the College of Business

Multiple Choice

Solve the problem using matrices.
-State University has a College of Arts & Sciences, a College of Business, and a College of Engineering. The percentage of students in each category are given by the following matrix. The student population is distributed by class and age as given in the following matrix. $$\left. \begin{array} { l c c } & \text { Female } & \text { Male } \\\text { Freshman } & 410 & 720 \\\text { Sophomore } & 550 & 750 \\\text { Junior } & 800 & 670 \\\text { Senior } & 630 & 480\end{array} \right]$$ How many female students are in the College of Business? How many male students are in the College of Arts & Sciences?

A) 605 students; 1411 students
B) 503 students; 693 students
C) 693 students; 516 students
D) 1282 students; 605 students