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

 It is currently 19 Aug 2019, 17:57

### 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

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

Author Message
TAGS:

### Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3449
In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

Updated on: 24 Jul 2017, 00:57
2
Top Contributor
8
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:37) correct 11% (02:21) wrong based on 637 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, 10:16.
Last edited by Bunuel on 24 Jul 2017, 00:57, edited 1 time in total.
Edited the question.
Manager
Joined: 14 Oct 2015
Posts: 246
GPA: 3.57
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

23 Jul 2017, 18:01
1
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 $$= 10 : 9$$
_________________
Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7382
Location: United States (CA)
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

26 Jul 2017, 16:38
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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@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.

Intern
Joined: 06 Feb 2016
Posts: 47
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

24 Jul 2017, 07:37

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
Joined: 28 Jun 2015
Posts: 286
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

24 Jul 2017, 09:00
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
Joined: 21 Jun 2017
Posts: 83
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

05 Sep 2017, 06:00
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
Joined: 30 Dec 2016
Posts: 234
GMAT 1: 650 Q42 V37
GPA: 4
In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

24 Jan 2018, 06:22
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.

_________________
Regards
SandySilva

____________
Please appreciate the efforts by pressing +1 KUDOS (:
SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1689
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

19 Mar 2018, 00:18
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."
Non-Human User
Joined: 09 Sep 2013
Posts: 12035
Re: In a field day at a school, each child who competed in n events and sc  [#permalink]

### Show Tags

31 Mar 2019, 05:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: In a field day at a school, each child who competed in n events and sc   [#permalink] 31 Mar 2019, 05:54
Display posts from previous: Sort by