Problema Solution
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.
Freshman Sophomore Junior Senior
Arts&Sciences 60% 50% 40% 70%
Business 20% 40% 30% 10%
Engineering 20% 10% 30% 20%
The student population is distributed by class and age as given in the following matrix.
Female Male
Freshman 410 720
Sophomore 550 750
Junior 860 610
Senior 630 480
How many female students are in the College of Business? How many male students are in the College of Arts & Sciences?
Answer provided by our tutors
total female student in business = 20% of410+ 40%of550+ 30% of860+ 10% of 630
= 82 + 220 +258 +63 = 623
total female student in art and science = 60% of 410 +50% of 550 + 40% of 860 + 70% of 630
= 246 + 275 + 344+ 441 =1306.