GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 28 May 2020, 22:31

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

In a field day at a school, each child who competed in n events and sc

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

Hide Tags

Find Similar Topics 
Board of Directors
User avatar
D
Joined: 01 Sep 2010
Posts: 3488
In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post Updated on: 23 Jul 2017, 23:57
2
Top Contributor
10
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:37) correct 10% (02:26) wrong based on 783 sessions

HideShow timer Statistics

In a field day at a school, each child who competed in \(n\) events and scored a total of \(p\) points was given an overall score of \(\frac{p}{n} + n\). Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?


A. \(\frac{10}{23}\)

B. \(\frac{7}{10}\)

C. \(\frac{4}{5}\)

D. \(\frac{10}{9}\)

E. \(\frac{12}{7}\)

_________________

Originally posted by carcass on 23 Jul 2017, 09:16.
Last edited by Bunuel on 23 Jul 2017, 23:57, edited 1 time in total.
Edited the question.
Most Helpful Expert Reply
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4877
Location: Canada
GMAT 1: 770 Q49 V46
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 25 May 2020, 13:31
1
Top Contributor
carcass wrote:
In a field day at a school, each child who competed in \(n\) events and scored a total of \(p\) points was given an overall score of \(\frac{p}{n} + n\). Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?


A. \(\frac{10}{23}\)

B. \(\frac{7}{10}\)

C. \(\frac{4}{5}\)

D. \(\frac{10}{9}\)

E. \(\frac{12}{7}\)


Given: Score = p/n + n

Andrew competed in 1 event and scored 9 points
Here, n = 1 and p = 9
So, Andrew's score = 9/1 + 1 = 9 + 1 = 10

Jason competed in 3 events and scored 5, 6, and 7 points, respectively
5 + 6 + 7 = 18
So, n = 3 and p = 18
Jason's score = 18/3 + 3 = 6 + 3 = 9

What was the ratio of Andrew's overall score to Jason's overall score?
Ratio = 10/9

Answer: D

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
General Discussion
Manager
Manager
avatar
P
Joined: 14 Oct 2015
Posts: 236
GPA: 3.57
Reviews Badge
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 23 Jul 2017, 17:01
2
1
carcass wrote:
In a field day at a school, each child who competed in n events and scored a total of p points was given an overall score of P/n + n. n Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?

A. \(\frac{10}{23}\)

B.\(\frac{7}{10}\)

C. \(\frac{4}{5}\)

D.\(\frac{10}{9}\)

E. \(\frac{12}{7}\)


It should be D

For readers, denominator for P is just 1 n. The fraction then adds into so you can rewrite it as \(n + \frac{p}{n}\) for a clearer understanding.

Andrew:

\(1 + \frac{9}{1}\) \(= 1 + 9 = 10\)

Jason:
\(3 + \frac{(5+6+7)}{3}\) \(= 3 + \frac{18}{3} = 9\)

Andrew : Jason \(= 10 : 9\)
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10590
Location: United States (CA)
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 26 Jul 2017, 15:38
1
carcass wrote:
In a field day at a school, each child who competed in \(n\) events and scored a total of \(p\) points was given an overall score of \(\frac{p}{n} + n\). Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?


A. \(\frac{10}{23}\)

B. \(\frac{7}{10}\)

C. \(\frac{4}{5}\)

D. \(\frac{10}{9}\)

E. \(\frac{12}{7}\)


Since Andrew competed in 1 event and received 9 points, his overall score was:

9/1 + 1 = 10

Since Jason completed in 3 events and scored 5, 6, and 7 points, he scored a total of 18 points and his overall score was:

18/3 + 3 = 9

Thus, the ratio of Andrew’s score to Jason’s score is 10/9.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
202 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.

Intern
Intern
User avatar
B
Joined: 06 Feb 2016
Posts: 46
Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
GPA: 3.5
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 24 Jul 2017, 06:37
Answer D

Andrew: n=1, p=9 So: 9/1+1=10
Jason: n=3, p=5+6+7=18 So: 18/3+3=9
Ratio: 10/9
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Jun 2015
Posts: 272
Concentration: Finance
GPA: 3.5
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 24 Jul 2017, 08:00
Andrew's overall score = \(\frac{9}{1} + 1 = 10\).

Jason's overall score \(= \frac{5+6+7}{3} + 3 = 6+3 = 9\).

Ratio = \(10:9\). Ans - D.
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.
Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 82
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 05 Sep 2017, 05:00
1
Andrew / Jason = X = Ratio of andrews overall over Jason's overall

Andrew = P/n + n = 9/1 + 1 = 1 9/1 = 10/1 = 10 = Andrews overall score
Jason = 18/3 + 3 = 3 18/3 = 27/3 = 9 = Jason's overall score
X = 10/9

Therefore, the correct answer is (D) 10/9

Good warm up question. I wonder what level it is.
Manager
Manager
avatar
G
Joined: 30 Dec 2016
Posts: 224
GMAT 1: 650 Q42 V37
GPA: 4
WE: Business Development (Other)
Reviews Badge
In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 24 Jan 2018, 05:22
Is there really a need of word " respectively" in the question?
What difference will it make with or without this word?

The reason i ask is this word made me calculate the three rates Separately at first and then re-do my calculations again.
SVP
SVP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1685
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Reviews Badge
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

Show Tags

New post 18 Mar 2018, 23:18
sandysilva wrote:
Is there really a need of word " respectively" in the question?
What difference will it make with or without this word?

The reason i ask is this word made me calculate the three rates Separately at first and then re-do my calculations again.


Word "respectively" adds emphasize that you need to calculate each set of point i.e, 5, 6 , and 7 for 1 game only. Means 5/1, 6/1, and 7/. And not 5/1 + 1, 6/1 + 1 etc.

Though I did it wrong.

QZ
_________________
"Do not watch clock; Do what it does. KEEP GOING."
GMAT Club Bot
Re: In a field day at a school, each child who competed in n events and sc   [#permalink] 18 Mar 2018, 23:18

In a field day at a school, each child who competed in n events and sc

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





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