A certain college had 5,000 applicants and 3/8 of thes applicants were female. The college admitted 40 percent of all applicants and an equal number of male and female applicants.
What is the percentage of female applicants admitted to the college?
What is the male applicants admitted to the college?
so female = (3/8)(5000) = 1875
then male = 3125
total admitted= .4(5000) = 2000
so half were male, half were female
male admitted = 1000
female admitted = 1000
percentage of females admitted = 1000/1875 = 53.3%
percentage of males admitted = 1000/3125 = 32%
Thanks
To find the percentage of female applicants admitted to the college, we need to first calculate the number of female applicants and the number of female applicants admitted.
Given that 3/8 of the 5,000 applicants were female, we can calculate the number of female applicants by multiplying the total number of applicants by 3/8:
Female Applicants = 5,000 x (3/8) = 1,875
Since the college admitted an equal number of male and female applicants, we can divide the total number of admitted applicants by 2:
Total Number of Admitted Applicants = 5,000 x (40/100) = 2,000
Admitted Female Applicants = 2,000 / 2 = 1,000
To find the percentage of female applicants admitted to the college, we divide the number of admitted female applicants by the total number of admitted applicants and multiply by 100:
Percentage of Female Applicants Admitted = (Admitted Female Applicants / Total Number of Admitted Applicants) x 100
= (1,000 / 2,000) x 100
= 0.5 x 100
= 50%
Therefore, the percentage of female applicants admitted to the college is 50%.
To find the number of male applicants admitted to the college, we can subtract the number of female applicants admitted from the total number of admitted applicants:
Male Applicants Admitted = Total Number of Admitted Applicants - Admitted Female Applicants
= 2,000 - 1,000
= 1,000
Therefore, the number of male applicants admitted to the college is 1,000.