It is currently 25 Jun 2017, 15:47

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

After winning 50 percent of the first 20 games it played,

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

Hide Tags

Director
Joined: 07 Jun 2004
Posts: 612
Location: PA
After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

04 Aug 2010, 04:34
4
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

64% (02:06) correct 36% (00:46) wrong based on 170 sessions

HideShow timer Statistics

After winning 50 percent of the first 20 games it played, Team Red won all of the remaining games it played. What was the total number of games that Team Red won?

(1) Team Red played 25 games altogether
(2) Team Red won 60 percent of all the games it played

OPEN DISCUSSION OF THIS QUESTION IS HERE: after-winning-50-percent-of-the-first-20-games-it-played-te-167045.html
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Manager
Joined: 16 Apr 2010
Posts: 221
Re: After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

04 Aug 2010, 04:47
Problem 1

Let p = percentage of games won and W1,W2 be the first 20 games won, the second X games won and T1 and T2 the first and second total number of games played.
P = (W1+W2) / (T1+T2) is percentage of games won

We know W1=10, T1=20, W2=T2

Statement 1
T1+T2 = 25,
Thus T2=W2=5 and W1+W2 = (10+5) which is sufficient to answer the question

Statement 2
P=60%

0.6 = (10+W2) / (20+T2) hence W2=2+0.6T2 and W2=2+0.6W2 and W2 = 5
W1+W2 = 10+5 thus it is sufficient to answer the question
VP
Joined: 15 Jul 2004
Posts: 1445
Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Re: After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

04 Aug 2010, 09:40
rxs0005 wrote:
After winning 50 percent of the first 20 games it played, Team Red won all of the remaining games it played. What was the total number of games that Team Red won?

(1) Team Red played 25 games altogether
(2) Team Red won 60 percent of all the games it played

1) total games played = 25; so 25 includes first 20 games of which team red won 50% meaning 10 and team red won all the remaining games they played - which means of the 5 remaining games (25-20) they won all 5; so total games won 10+5 = 15;;;; hence sufficient

2) we can set up the eqn as follows: assume total games played by team red = $$x$$
so $$10 + (x-20) = (0.6).x$$
solving for $$x = 25$$

So D ..... each stmt is sufficient.

however usually on the gmat both choices lead to the same answer. I dont know why this one is leading to two diff answers...
Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1918
Concentration: General Management, Nonprofit
Re: After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

04 Aug 2010, 14:03
rxs0005 wrote:
After winning 50 percent of the first 20 games it played, Team Red won all of the remaining games it played. What was the total number of games that Team Red won?

(1) Team Red played 25 games altogether
(2) Team Red won 60 percent of all the games it played

Statement 1:

Total games = 25

50% of 20 = 10 + (25-20) = 15 games.

Sufficient.

Statement 2:

Let the total games = X.

Number of games won = $$10 + (X-20) = 0.6X$$

$$X-20 = 0.6X$$

$$0.4X = 20$$

$$X = \frac{20}{0.4} = 50$$

So the number of games won = 10 + 30 = 40

Sufficient.

Hence the answer is D.
Intern
Joined: 30 Jun 2014
Posts: 46
GPA: 3.6
WE: Operations (Energy and Utilities)
Re: After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

04 Aug 2015, 22:18
1) team red won 50% of 20+ (25-20) so, sufficient

2)let total matches played=x
matches won=0.6x
0.6x=50%of 20+(x-20)
so, x=25..........sufficient

so, (D)
Math Expert
Joined: 02 Sep 2009
Posts: 39673
Re: After winning 50 percent of the first 20 games it played, [#permalink]

Show Tags

16 Aug 2015, 11:08
Expert's post
1
This post was
BOOKMARKED
After winning 50 percent of the first 20 games it played, Team A won all of the remaining games it played. What was the total number of games that Team A won?

The team won 50 percent of the first 20 games --> the team won 10 out of 20 games.

(1) Team A played 25 games altogether. Team A won (25 - 20) + 10 = 15 games. Sufficient.

(2) Team A won 60 percent of all the games it played --> 0.6*(20 + x) = 10 + x --> x= 5 --> the total number of games the team won is 10 + 5 = 15. Sufficient.

Similar questions to practice:
after-winning-80-percent-of-the-fi-rst-40-games-it-played-129338.html
a-chess-player-won-25-percent-of-the-first-20-games-152608.html
after-winning-80-of-his-first-40-matches-igby-won-129062.html
after-winning-50-percent-of-the-first-30-matches-she-played-129132.html
after-winning-50-percent-of-the-first-x-games-it-played-149675.html
after-winning-30-percent-of-the-first-50-games-it-played-142267.html

OPEN DISCUSSION OF THIS QUESTION IS HERE: after-winning-50-percent-of-the-first-20-games-it-played-te-167045.html
_________________
Re: After winning 50 percent of the first 20 games it played,   [#permalink] 16 Aug 2015, 11:08
Similar topics Replies Last post
Similar
Topics:
6 After winning 50 percent of the first 20 games it played, Te 8 08 May 2016, 08:21
6 After winning 50 percent of the first x games it played 4 23 Aug 2016, 01:45
After winning 30 percent of the first 50 games it played 2 12 Nov 2012, 02:43
7 After winning 80 percent of the first 40 games it played 7 18 May 2017, 21:01
14 After winning 50 percent of the first 30 matches she played 10 18 Oct 2016, 09:42
Display posts from previous: Sort by

After winning 50 percent of the first 20 games it played,

 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®.