In a certain international contest the winners received only : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 02:25

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In a certain international contest the winners received only

Author Message
TAGS:

### Hide Tags

Intern
Joined: 13 Dec 2013
Posts: 2
Followers: 0

Kudos [?]: 4 [0], given: 0

### Show Tags

02 Feb 2014, 04:49
1
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

67% (04:09) correct 33% (03:13) wrong based on 83 sessions

### HideShow timer Statistics

In a certain international contest the winners received only gold and silver medals. In that contest, France received how many more medals than Spain did?

(1) If France were to give Spain half of its gold medals, and Spain were to give France half of its silver medals, then France would have a total of 26 more medals than Spain.

(2) If Spain were to give France half of its gold medals, and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.

Which is the best approach to solve this "swap" questions? It seems like the question of Danny and its blue and red boxes...
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Feb 2014, 00:53, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7074

Kudos [?]: 93067 [3] , given: 10541

### Show Tags

03 Feb 2014, 01:10
3
KUDOS
Expert's post
In a certain international contest the winners received only gold and silver medals. In that contest, France received how many more medals than Spain did?

France: $$Gold = g_1$$, $$Silver = s_1$$.
Spain: $$Gold = g_2$$, $$Silver = s_2$$.

Question asks to find $$(g_1+s_1)-(g_2+s_2)$$

(1) If France were to give Spain half of its gold medals, and Spain were to give France half of its silver medals, then France would have a total of 26 more medals than Spain.

France: $$Gold = 0.5g_1$$, $$Silver = s_1 +0.5s_2$$.
Spain: $$Gold = g_2+0.5g_1$$, $$Silver = 0.5s_2$$.

$$0.5g_1+(s_1 +0.5s_2)=(g_2+0.5g_1)+0.5s_2+26$$ --> $$s_1-g_2=26$$.

Not sufficient.

(2) If Spain were to give France half of its gold medals, and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.

France: $$Gold = g_1+0.5g_2$$, $$Silver = 0.5s_1$$.
Spain: $$Gold = 0.5g_2$$, $$Silver =s_2+ 0.5s_1$$.

$$(g_1+0.5g_2) +0.5s_1=0.5g_2+(s_2+0.5s_1)-22$$ --> $$g_1-s_2=-22$$.

Not sufficient.

(1)+(2) $$(g_1+s_1)-(g_2+s_2)=(g_1-s_2)+(s_1-g_2)=26-22=4$$. Sufficient.

Hope it helps.
_________________
Senior Manager
Joined: 21 Oct 2013
Posts: 419
Followers: 15

Kudos [?]: 1371 [0], given: 289

### Show Tags

01 Jul 2014, 10:44
In a certain international contest the winners received only gold and silver medals. In that contest, France received how many more medals than Spain did?

(1) If France were to give Spain half of its gold medals, and Spain were to give France half of its silver medals, then France would have a total of 26 more medals than Spain.
(2) If Spain were to give France half of its gold medals, and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.
Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7074

Kudos [?]: 93067 [0], given: 10541

### Show Tags

01 Jul 2014, 10:46
goodyear2013 wrote:
In a certain international contest the winners received only gold and silver medals. In that contest, France received how many more medals than Spain did?

(1) If France were to give Spain half of its gold medals, and Spain were to give France half of its silver medals, then France would have a total of 26 more medals than Spain.
(2) If Spain were to give France half of its gold medals, and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.

Merging similar topics. Please refer to the solution above.
_________________
Manager
Joined: 12 Sep 2014
Posts: 172
GMAT 1: 740 Q49 V41
GPA: 3.94
Followers: 0

Kudos [?]: 75 [0], given: 103

### Show Tags

04 Nov 2014, 08:52
Thanks Bunuel! Making simultaneous equations definitely simplifies this significantly.
Manager
Joined: 22 Jan 2014
Posts: 138
WE: Project Management (Computer Hardware)
Followers: 0

Kudos [?]: 53 [0], given: 135

### Show Tags

04 Nov 2014, 21:56
civi83 wrote:
In a certain international contest the winners received only gold and silver medals. In that contest, France received how many more medals than Spain did?

(1) If France were to give Spain half of its gold medals, and Spain were to give France half of its silver medals, then France would have a total of 26 more medals than Spain.

(2) If Spain were to give France half of its gold medals, and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.

Which is the best approach to solve this "swap" questions? It seems like the question of Danny and its blue and red boxes...

C. please refer to the image.
Attachments

medals.png [ 27.38 KiB | Viewed 665 times ]

_________________

Illegitimi non carborundum.

Re: In a certain international contest the winners received only   [#permalink] 04 Nov 2014, 21:56
Similar topics Replies Last post
Similar
Topics:
At a particular university with 200 students 30% receive only loans an 1 20 Dec 2016, 07:04
At a particular university with 200 students 30% receive only loans an 1 20 Dec 2016, 07:03
1 At a particular university with 200 students 30% receive only loans an 1 20 Dec 2016, 00:26
5 In each game of a certain tournament, a contestant either loses 3 poin 4 16 Jun 2016, 03:25
16 Each of the students in a certain class received a single 13 03 Jun 2007, 02:08
Display posts from previous: Sort by