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.