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

 It is currently 14 Oct 2019, 18:30

### 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

# A football league consists of 800 total players, 65 percent of whom pl

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 25 Sep 2018
Posts: 422
Location: United States (CA)
Concentration: Finance, Strategy
GMAT 1: 640 Q47 V30
GPA: 3.97
WE: Investment Banking (Investment Banking)
A football league consists of 800 total players, 65 percent of whom pl  [#permalink]

### Show Tags

30 Jan 2019, 00:37
2
00:00

Difficulty:

65% (hard)

Question Stats:

41% (01:57) correct 59% (02:45) wrong based on 28 sessions

### HideShow timer Statistics

A football league consists of 800 total players, 65 percent of whom play on offense. If there are only offensive and defensive players in the league, how many defensive players would have to join for the defensive players to comprise at least 40 percent of the league?
A) 63
B) 64
C) 65
D) 66
E) 67

_________________
Why do we fall?...So we can learn to pick ourselves up again
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9699
Location: Pune, India
Re: A football league consists of 800 total players, 65 percent of whom pl  [#permalink]

### Show Tags

30 Jan 2019, 01:30
Abhi077 wrote:
A football league consists of 800 total players, 65 percent of whom play on offense. If there are only offensive and defensive players in the league, how many defensive players would have to join for the defensive players to comprise at least 40 percent of the league?
A) 63
B) 64
C) 65
D) 66
E) 67

Currently there are 35% defensive players. Defensive players need to be added to get 40% defensive players.

w1/w2 = (100 - 40)/(40 - 35) = 12/1

So for 12 current players, we need to add 1 new defensive player.
For 800 correct players, we need to add 800/12 = 66.67 players i.e. 67 players
The defensive players need to be at least 40%. If we add 67 players, they will be just above 40%.

_________________
Karishma
Veritas Prep GMAT Instructor

Math Expert
Joined: 02 Aug 2009
Posts: 7954
Re: A football league consists of 800 total players, 65 percent of whom pl  [#permalink]

### Show Tags

30 Jan 2019, 01:40
Abhi077 wrote:
A football league consists of 800 total players, 65 percent of whom play on offense. If there are only offensive and defensive players in the league, how many defensive players would have to join for the defensive players to comprise at least 40 percent of the league?
A) 63
B) 64
C) 65
D) 66
E) 67

Another method..

65% means Offensive are $$800\frac{65}{100}=520$$..

The ONLY change is in the number of Defensive player, so offensive players will remain the same as 520..
Say the new total is x.
But if D are atleast 40%, O will be at the most 60%, that is O$$\leq{\frac{60}{100}*x$$=> $$520\leq{\frac{60}{100}*x$$=> $$x\geq{520*100/60}......x\geq{866.66}$$

The number cannot be a decimal, so take the decimal as complete or 867..
The new player added = 867-800=67

E
_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A football league consists of 800 total players, 65 percent of whom pl  [#permalink]

### Show Tags

30 Jan 2019, 01:50
1
1
Abhi077 wrote:
A football league consists of 800 total players, 65 percent of whom play on offense. If there are only offensive and defensive players in the league, how many defensive players would have to join for the defensive players to comprise at least 40 percent of the league?
A) 63
B) 64
C) 65
D) 66
E) 67

total players = 800
offense players= 800*.65= 520

so now to make a team which has 40% defensive players ,keeping the count of offense players same i.e 520 it would be 60% of total league players

520= x* 60/100
x= 867

addition of players required = 867-800
= 67
IMO E
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: A football league consists of 800 total players, 65 percent of whom pl   [#permalink] 30 Jan 2019, 01:50
Display posts from previous: Sort by