Disclaimer: I searched using the following criteria: College C, 2/5 of the students, College C business majors, and College C females...came up with other questions, so my apologies if this questions does exist, I just happened to not find it.

Question:If 2/5 of the students at College C are business majors, what is the number of female students at College C?

(1)- 2/5 of the male students at College C are business majors.

(2)- 200 of the female students at College C are business majors.










OA is C.

Flustered by this question, do not know where to start.

Thanks in advance.

Let no. of male students be m & that of female students be f.

Given:
2/5*(m+f)= Biz. major

To find.
f

1.
2/5*m are BM
Insufficient

2.
200 f are BM
Insufficient

We have to choose between C & E

1+2

2/5*m+200=2/5*(m+f)
2/5*f=200

Hence C.

_________________
HTH

Hi Milanproda,

blink005 has shown you a very quick and easy way.

I will just add that this type of question can be solved by making a double set matrix. This has been explained in word translations guide, chapter 7.

Regards

Sunil

If we skip A & B and go to C/E split:

If there are 1,000 total students:
2/5 of all students is 400. So we have 400 business majors, and 600 non-business majors.
If we have 200 female business majors, then we also have 200 male business majors, which leads us 500 total Males and 500 total females.

This situations fulfills all of the criteria as far as I can tell ( I would make a double set matrix

Business Not Business Total

Male 200 300 500

Female 200 300 500

Total 400 600 1,000

Criteria: 2/5 of all students (1,000)= 400
2/5 of male students (200 out of 500)
200 Female B-majors

Now:


Business Not Business Total

Male 40 60 100

Female 200 300 500

Total 240 360 600



Next (I am beginning to feel like an idiot....):


Business Not Business Total

Male 80 120 200

Female 200 300 500

Total 280 420 700


(Confirmation: I am special ED, I just proved my own problem).

I went through this post and realize halfway through that the number of females will always be the same. I just made so many double matrix's that I HAD to post this message, lol.

Thanks again.

lol.