In College A, the ratio of boys to girls is 3:2, while in College B, the ratio is 7:3. If 20% of the boys from College A are undergraduates and 60% of the girls from College B are postgraduates, the postgraduate boys from College A and postgraduate girls from College B combined amount to 3300 students. Assuming the total number of students is equal in both colleges, determine the total male Students in College A and the female Students in College B. 

Solution

ATQ, Number of Boys in College A = 3x Number of girls in College A = 2x Number of boys in College B = 7y Number of Girls in College B = 3y Number of Students is equal in College A and B 3x + 2x = 7y + 3y x = 2y Number of postgraduate boys in College A = (80/100) × 3x = 2.4x Number of postgraduate girls in College B = (60/100) × 3y = 1.8y 2.4x + 1.8 × (x/2) = 3300 4.8x + 1.8x = 6600 x = 1000 Boys students in College A and girls Students in College B = (3x + 3y) = [3x + (3 × (x/2)] = 4.5x Required total = 4.5 × 1000 = 4500