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?

In total, 1130 people applied in the University.

Step-by-step 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 =  

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

or, the number of males admitted in university =  

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.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

4

step-by-step explanation: