GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 15:24 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  In a high school class, the average score on a test among girls was 92

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58445
In a high school class, the average score on a test among girls was 92  [#permalink]

Show Tags 00:00

Difficulty:   55% (hard)

Question Stats: 65% (02:32) correct 35% (02:34) wrong based on 63 sessions

HideShow timer Statistics

In a high school class, the average score on a test among girls was 92.6, while the average score among boys was 83.0. The average score for the class was 89. If there are 16 students in the class, which of the following represents the relationship between the number of girls (g) and boys (b) in the class?

A. g+4=b

B. g+2=b

C. g=b

D. g - 2=b

E. g - 4=b

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: In a high school class, the average score on a test among girls was 92  [#permalink]

Show Tags

Bunuel wrote:
In a high school class, the average score on a test among girls was 92.6, while the average score among boys was 83.0. The average score for the class was 89. If there are 16 students in the class, which of the following represents the relationship between the number of girls (g) and boys (b) in the class?

A. g+4=b

B. g+2=b

C. g=b

D. g - 2=b

E. g - 4=b

Average of Girls = 92.6
Number of girls = g
i.e. Total score of all girls = 92.6*g

Average of Boys = 83
Number of girls = b
i.e. Total score of all girls = 83*b

Also, b+g = 16

And, total of entire class = 89*(b+g) = 92.6g + 83b

i.e. 6b = 3.6g
i.e. b = (3/5)g

b+g = 16
i.e. (3/5)g + g = 16
i.e. g = 10
and b = 6

i.e. b = g-4

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: In a high school class, the average score on a test among girls was 92  [#permalink]

Show Tags

Bunuel wrote:
In a high school class, the average score on a test among girls was 92.6, while the average score among boys was 83.0. The average score for the class was 89. If there are 16 students in the class, which of the following represents the relationship between the number of girls (g) and boys (b) in the class?

A. g+4=b

B. g+2=b

C. g=b

D. g - 2=b

E. g - 4=b

Since the overall class average (89) is closer to the girls’ average (92.6) than it’s to the boys’ average (83), there must be more girls than boys. This narrows to choice D or E as the correct answer. If choice D is the correct answer, then we have:

b + g = 16

g - 2 + g = 16

2g = 18

g = 9

So b = 16 - 9 = 7. Now let’s check the overall class average by calculating the weighted average:

Average = (9 x 92.6 + 7 x 83)/16 = 1414.4/16 = 88.4

Answer choice D does not yield the given overall class average of 89. So the correct answer must be E.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

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.

Manager  S
Joined: 08 Sep 2008
Posts: 134
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: In a high school class, the average score on a test among girls was 92  [#permalink]

Show Tags

1
G/B = Avg score of class- Avg of boy score/ avg score of girl - Avg score of class
= 89-83/ 92.6-89
= 6/3.6
= 5/3
Total 16 student so 10 girl and 6 boys.

G-4= B
Option E
_________________
Regards;
Vishal

+==========+
Kudos if it deserve....one... Re: In a high school class, the average score on a test among girls was 92   [#permalink] 30 Oct 2018, 11:32
Display posts from previous: Sort by

In a high school class, the average score on a test among girls was 92

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  