Question

The campus demographics include 320 female students. This represents 64% of the student body. How many students are enrolled?

Answer 1

Given ,

Number of female students = 320

Total percent represented by females = 64%

To Find :-

Total number of students

Solution :-

Let the total number of students be x

According to question,

64% of x = 320

$=>\: {\dfrac{64 \times x }{100}}\: =\: 320$

$=>\: x\: =\: {\dfrac{320 \times 100}{64}}$

=> x = 500

Therefore, total number of students are 500 students

Extra :-

Since the total number of female students is 320 and,

total number of students is 500

therefore,

total number of boys = 500 - 320

= 180

Verification :-

64% of 500 = 320

${\dfrac{64 \times 500}{100}}\: =\: 320$

=> 320 = 320

Since LHS = RHS, Hence Verified.