Hello,

Can you please tell me if my approach is correct here especially for Statement 2? Thanks a lot - Sri

At a certain high-school, the average GPA of female students is 3.2 and the average
GPA of male students is 3.0, what is the average GPA of the whole student body?

(1) The ratio of the number of female students to that of male students is 1.5:1.3.
(2) There are 530 male students at the school.


OA: A


My approach:

3.2 -----------x-----------3.0
f (3.2 -x) (x - 3) m


So, f/m = (x - 3)/(3.2 - x)

1) f/m = 1.5/1.3 = 15/13

=> (x - 3)/(3.2 - x) = 15/13

=> 13(x - 3) = 15(3.2 - x)

=> x = 87/28

Hence, Suff.


2) From the question we have,

f/m = (x - 3)/(3.2 - x)

Given, m = 530

So, f/m = (x - 3)/(3.2 - x) = ?/530

We don't have the number of females. Hence, in-sufficient.