Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 02:12

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

At a certain stage of a soccer tournament, the score ratio

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

Hide Tags

Intern
Joined: 15 Nov 2012
Posts: 3
Location: United States
Concentration: General Management, Technology
GMAT Date: 12-05-2012
GPA: 3.82
WE: Business Development (Computer Software)
Followers: 0

Kudos [?]: 13 [0], given: 3

At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

01 Dec 2012, 06:28
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

78% (02:19) correct 22% (00:52) wrong based on 69 sessions

HideShow timer Statistics

At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?

1)8
2)10
3)20
4)40
5)80

I tried this as below:

a:b:c = 3:4:5

a:b= 3:4

doubled:
a:b = 2* 3:4 = 3:2

halved
a:c = (1/2)*3:5 = 3:10

a:c/a:b = (3/10)/ (3/2) = 6/30

given c =40

substituting, we get b = 8.

Pls let me know the basic approach on this.
[Reveal] Spoiler: OA
Moderator
Joined: 02 Jul 2012
Posts: 1223
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 124

Kudos [?]: 1489 [2] , given: 116

Re: Need help on this Ratio basics [#permalink]

Show Tags

01 Dec 2012, 06:44
2
This post received
KUDOS
manukumar wrote:
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?

1)8
2)10
3)20
4)40
5)80

I tried this as below:

a:b:c = 3:4:5

a:b= 3:4

doubled:
a:b = 2* 3:4 = 3:2

halved
a:c = (1/2)*3:5 = 3:10

a:c/a:b = (3/10)/ (3/2) = 6/30

given c =40

substituting, we get b = 8.

Pls let me know the basic approach on this.

A to B = 3 : 4

So, on doubling we get 6 : 4

A to C = 3 : 5

So, on halving we get 1.5 : 5 or 3 : 10 or 6 : 20

So final ratio = 6 : 4 : 20.

If 20x = 40

4x = 8

Hence, answer is A
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15506
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

22 Mar 2016, 12:16
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.
_________________
Intern
Joined: 14 Jul 2016
Posts: 45
Location: South Africa
Concentration: General Management, Marketing
Schools: Oxford"18, HEC Dec"18
GMAT 1: 640 Q48 V30
GPA: 3.5
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 4 [0], given: 16

Economist GMAT: Soccer tournament [#permalink]

Show Tags

17 Feb 2017, 11:02
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?

a) 8
b) 10
c) 20
d) 40
e) 80
Intern
Joined: 17 Oct 2016
Posts: 11
Followers: 0

Kudos [?]: 1 [0], given: 5

Economist GMAT: Soccer tournament [#permalink]

Show Tags

17 Feb 2017, 11:26
Ratio of A:B is originally 3:4. Then this ratio is doubled and we have $$\frac{3}{2}$$ * 2 = $$\frac{6}{4}$$
Ratio of A:C is originally 3:5. Then this ratio is halved so we have $$\frac{3}{5}$$ * $$\frac{1}{2}$$ = $$\frac{3}{10}$$.

In order to compare the two ratio we must express the common term (in this case A) in the same quantity. Thus we multiply the second ratio ($$\frac{3}{10}$$) for 2 and we get $$\frac{6}{20}$$

So now the new score ratio of team A, B and C is 6:4:20. If we divide the score of team C by the ratio for team C we get the multiplier (in this case is 2).
Finally by applying the multiplier to B we get 8.

Hope it is clear.
Math Expert
Joined: 02 Sep 2009
Posts: 39044
Followers: 7752

Kudos [?]: 106505 [0], given: 11627

Re: At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

17 Feb 2017, 14:06
dnalost wrote:
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?

a) 8
b) 10
c) 20
d) 40
e) 80

Merging topics. Please refer to the discussion above.
_________________
Manager
Joined: 31 Jan 2017
Posts: 52
Location: India
Concentration: Strategy, Leadership
Schools: IIMA , IIMB, IIMC , XLRI, IIM, ISB
GMAT 1: 680 Q49 V34
GPA: 3.5
WE: Project Management (Energy and Utilities)
Followers: 1

Kudos [?]: 22 [0], given: 16

At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

17 Feb 2017, 21:24
Answer: [A]

A : B : C Initially:
3 : 4 : 5

6 : 4 (ratio A:B is doubled )

3 : __ : 10 (ratio is A: C is halved)
6 : __ : 20

6 : 4 : 20 Finally,
12 : 8 : 40 (since C has to become 40)

Therefore, B = 8
_________________

__________________________________
Kindly press "+1 Kudos" if the post helped

Manager
Joined: 03 Jan 2017
Posts: 204
Followers: 0

Kudos [?]: 2 [0], given: 4

Re: At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

12 Mar 2017, 10:49
I like making it in a table:

A:B:C
3:4:5 then A:B doubled
6:4:? then A:C halved
3:?:10 let's make a common ration for all 3:
6:4:20 and since C earned 40 points:
12:8:40 B is 8
Answer is A (8)
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 918
Followers: 35

Kudos [?]: 515 [1] , given: 5

Re: At a certain stage of a soccer tournament, the score ratio [#permalink]

Show Tags

15 Mar 2017, 16:52
1
This post received
KUDOS
Expert's post
manukumar wrote:
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score of team B?

1)8
2)10
3)20
4)40
5)80

We are given that the original ratio of A : B : C = 3x : 4x : 5x.

After the ratio of A to B doubles and the ratio of A to C is halved, we have:

A/B = 6x/4x

AND

A/C = 3x/10x

Since we need term A to be the same in both ratios, we can multiply our second ratio by 2/2 and we have:

A/C = 6x/20x

Now the ratio of A : B : C = 6x : 4x : 20x

Since team C had a final of 40 points, we have:

20x = 40

x = 2

So, the final score of team B was 4 x 2 = 8.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: At a certain stage of a soccer tournament, the score ratio   [#permalink] 15 Mar 2017, 16:52
Similar topics Replies Last post
Similar
Topics:
3 A soccer tournament is organized with 32 teams participating, so that 6 17 Apr 2017, 03:12
At a certain softball tournament, 65 percent of the players traveled m 3 22 Feb 2017, 20:36
2 From the total sports players, the ratio of soccer players to baseball 3 16 Mar 2017, 11:54
1 A certain tournament is divided into 2 brackets. 1 04 Sep 2016, 05:52
28 256 teams play in a state soccer tournament. A team is elimi 11 18 Sep 2016, 12:37
Display posts from previous: Sort by

At a certain stage of a soccer tournament, the score ratio

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

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.