Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 16:04

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Of the female students at Barkely University, 5/6 are on the honor rol

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56300
Of the female students at Barkely University, 5/6 are on the honor rol  [#permalink]

Show Tags

17 Aug 2018, 12:00
00:00

Difficulty:

15% (low)

Question Stats:

86% (02:05) correct 14% (03:11) wrong based on 47 sessions

HideShow timer Statistics

Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?

A) 5/9
B) 3/15
C) 23/30
D) 43/60
E) 53/90

_________________
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: Of the female students at Barkely University, 5/6 are on the honor rol  [#permalink]

Show Tags

17 Aug 2018, 12:14
Bunuel wrote:
Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?

A) 5/9
B) 3/15
C) 23/30
D) 43/60
E) 53/90

Let the total student is 100
#Female students=$$\frac{3}{5}*100$$=60 . So, #male students=40
# female students in Honor roll=$$\frac{5}{6}*60$$=50
# male students in Honor roll=$$\frac{2}{3}*40$$=$$\frac{80}{3}$$
Total#students in honor roll=50+$$\frac{80}{3}$$=$$\frac{230}{3}$$
Fraction of students in the honor roll=$$\frac{230}{3*100}$$=$$\frac{23}{30}$$

Ans. (C)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior Manager
Joined: 28 Jul 2016
Posts: 481
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Of the female students at Barkely University, 5/6 are on the honor rol  [#permalink]

Show Tags

17 Aug 2018, 12:24
Total students = 5x
Female = 3x;
Male = 2x;
honor on roll female = $$\frac{5}{6} *3x$$ = $$\frac{5x}{2}$$;
honor on roll male = $$\frac{2}{3}$$*2x= $$\frac{4x}{3}$$;
hence total on roll = $$\frac{5x}{2}$$ +$$\frac{4x}{3}$$= $$\frac{23x}{6}$$;
total students were 5x;
there total on roll = $$\frac{23x}{6}*\frac{1}{5x}$$;
= $$\frac{23}{30}$$;
ans C
_________________
Please give Kudos. Kudos encourage active discussions and help the community grow
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: Of the female students at Barkely University, 5/6 are on the honor rol  [#permalink]

Show Tags

20 Aug 2018, 11:16
Bunuel wrote:
Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?

A) 5/9
B) 3/15
C) 23/30
D) 43/60
E) 53/90

We can let the number of students = 120.

Thus, 3/5 x 120 = 72 are female, and 120 - 72 = 48.

So 72 x 5/6 = 60 female students are on the honor roll, and 48 x 2/3 = 32 male students are on the honor roll.

Thus, (60 + 32)/120 = 92/120 = 46/60 = 23/30 are on the honor roll.

Alternate Solution:

Since 3/5 of all students are female, we see that 5/6 x 3/5 = 3/6 = 1/2 of the total students on the honor roll are females. Similarly, since 2/5 of all students are male, we see that 2/3 x 2/5 = 4/15 of the total students on the honor roll are males. Thus, the fraction of all students on the honor roll is:

1/2 + 4/15 = 15/30 + 8/30 = 23/30 of all students are on the honor roll.

_________________

Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Of the female students at Barkely University, 5/6 are on the honor rol   [#permalink] 20 Aug 2018, 11:16
Display posts from previous: Sort by