Author 
Message 
CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City

At Springfield High, threefourths of the male students and [#permalink]
Show Tags
14 Nov 2007, 14:13
This topic is locked. If you want to discuss this question please repost it in the respective forum.
At Springfield High, threefourths of the male students and half of the female students speak a foreign language. If the number of males is twothirds the number of females, what fraction of the students speak a foreign language?
A. 1/3 B. 2/3 C. 1/2 D. 3/4 E. 3/5
M0715



Senior Manager
Joined: 01 Sep 2006
Posts: 301
Location: Phoenix, AZ, USA

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
14 Nov 2007, 14:32
bmwhype2 wrote: at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?
1/3 3/5 7/7 4/9 4/8
M=2/3(F) assume 3 females in class then 2 males
student speaking foreign language  (3/4)males + 1/2 females
3*2/4+1*2/2=12/4=3
total sudents 3f+2m=5
3/5



Intern
Joined: 18 Jun 2007
Posts: 7

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
14 Nov 2007, 14:35
2
This post received KUDOS
bmwhype2 wrote: at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?
1/3 3/5 7/7 4/9 4/8
The easiest method for me is to pick a number, which divisible by the denominator, to find the answer.
Let f=30
m = 2/3f, so m=20
Total Students
m=20
f=30

50
Foreign Language Speaking Student
3/4m = 3/4(20)=15
1/2f = 1/2(30)=15

30
What fractions of the students speak a foreign language?
30/50 = 3/5

Answer B.



VP
Joined: 09 Jul 2007
Posts: 1100
Location: London

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
14 Nov 2007, 17:36
bmwhype2 wrote: at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?
1/3 3/5 7/7 4/9 4/8
Kaplan's picking numbers strategy makes you find speedy answer to this kind of questions.
********BMWHYPE******** you normally leave the posts open to discussion that's fine but do rarely post the OAs. Can you please kindly, regularly, post the OAs as well.
Appreciate



CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
18 Nov 2007, 04:17
OA is B.
(3/4)m=foreign speaking males
(1/2)f=foreign speaking females
m=(2/3)f
Total pop = m+f=(2/3)f+f=(5/3)f
Total foreign speaking pop = (3/4)m+(1/2)f=(3/4)(2/3)f+(1/2)f=(1/2)f+(1/2)f=f
(Tot for speak pop)/(tot pop)=f/(5f/3)=3/5



CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
18 Nov 2007, 04:18
Ravshonbek wrote: bmwhype2 wrote: at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?
1/3 3/5 7/7 4/9 4/8 Kaplan's picking numbers strategy makes you find speedy answer to this kind of questions. ********BMWHYPE******** you normally leave the posts open to discussion that's fine but do rarely post the OAs. Can you please kindly, regularly, post the OAs as well. Appreciate
i let the questions sit for a week or so, depending on when i have time to get back to reviewing the question.



Intern
Joined: 08 Feb 2014
Posts: 10

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
26 Jun 2014, 23:09
3
This post received KUDOS
A table is a good approach in such problems.
Step 1: Male Female Total SF 3m/4 f/2 DNF m/4 f/2 Total m f
Step 2: Since m = 2f/3, Male Female Total SF f/2 f/2 f DNF f/6 f/2 Total 2f/3 f 5f/3
Thus, ans. is f/(5f/3) = 3/5



Math Expert
Joined: 02 Sep 2009
Posts: 39622

Re: At Springfield High, threefourths of the male students and [#permalink]
Show Tags
27 Jun 2014, 01:55




Re: At Springfield High, threefourths of the male students and
[#permalink]
27 Jun 2014, 01:55







