Question

In a certain university admissions department, 70 more males than females submitted applications for admissions. 20% of the females were admitted and 25% of the males were admitted. If a total of 256 applicants were admitted, how many people applied?

Answer 1

In total, 1130 people applied in the University.

Explanation:

Total applicants admitted = 256

Let the number of females who applied in University = k

So, the number of males who applied = ( k + 70)

Now, 20 %of females are admitted ⇒ 20% of (k) is admitted

or, the number of females admitted in university =
`(20)/(100)  * k = 0.2k`

Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted

or, the number of males admitted in university =
`(25)/(100)  * (k+70) = 0.25(k+70)`

So, according to the question:

0.20k + 0.25(k+70) = Total admissions = 256

or, 0.2k + 0.25k + 17.5 = 256

⇒0.45k = 238.5

or, k = 238.5/0.45 = 530

Hence, total number of females who applied = 530

And Total males who applies = ( k + 70) = 600

Now, TOTAL Applications = MALE applications + FEMALE applications

= 530 + 600 = 1130

Hence, in total 1130 people applied in the University.