GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 06 Jul 2020, 01:04

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Football Team T has a total of 120 players, 40 percent of whom

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

Hide Tags

Find Similar Topics 
SC Moderator
User avatar
V
Joined: 25 Sep 2018
Posts: 872
Location: United States (CA)
Concentration: Finance, Strategy
GPA: 3.97
WE: Investment Banking (Investment Banking)
Premium Member Reviews Badge CAT Tests
Football Team T has a total of 120 players, 40 percent of whom  [#permalink]

Show Tags

New post 08 Oct 2018, 12:09
4
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

57% (02:58) correct 43% (02:50) wrong based on 37 sessions

HideShow timer Statistics

Football Team T has a total of 120 players, 40 percent of whom are juniors. After the first game, the team had a certain number of injured players, 20 percent of whom were juniors. Juniors now make up 80 percent of the non-injured players. How many players other than juniors are injured?
A) 16
B) 24
C) 32
D) 45
E) 64

_________________
Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 504
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Football Team T has a total of 120 players, 40 percent of whom  [#permalink]

Show Tags

New post 08 Oct 2018, 13:41
1
Abhi077 wrote:
Football Team T has a total of 120 players, 40 percent of whom are juniors. After the first game, the team had a certain number of injured players, 20 percent of whom were juniors. Juniors now make up 80 percent of the non-injured players. How many players other than juniors are injured?
A) 16
B) 24
C) 32
D) 45
E) 64


Refer to the attached grid.

Let x be the number of injured
Let y be the number of not injured.

0.2x + 0.8y = 48 total number of juniors.
2x + 8y = 480
x + 4y = 240 (1)

Total number of not juniors

0.8x + 0.2y = 72
8x + 2y = 720
4x + y = 360

16x + 4y = 1,440 (2)

16x + 4y = 1,440
x + 4y = 240

(2) - (1) = 15x = 1,200

X = 80

0.8 * 80 = 64

Answer choice E

Posted from my mobile device
Attachments

CCEC8B4A-B5DD-46BA-BD25-906883FB407D.jpeg
CCEC8B4A-B5DD-46BA-BD25-906883FB407D.jpeg [ 31.22 KiB | Viewed 652 times ]

Intern
Intern
avatar
B
Joined: 20 Feb 2018
Posts: 6
Re: Football Team T has a total of 120 players, 40 percent of whom  [#permalink]

Show Tags

New post 08 Oct 2018, 19:51
Total Number of Players=120
Juniors= 40% of 120=48
Let, Injured=x
Then, Juniors Injured= 20% of x=x/5
Seniors Injured=4x/5.........Eq1
Non injured players=120-x
Now, total junior players after injury=48-(x/5) [which is 80% of the total non injured players]
Total non injured=120-x
So, 48-(x/5)=80% of (120-x)
If we solve for x, we get x=80
From Eq1, we get, seniors injured= (4*80)/5=64 (E)

Hit kudos if you like the solution...
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15382
Re: Football Team T has a total of 120 players, 40 percent of whom  [#permalink]

Show Tags

New post 25 Oct 2019, 23:14
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.
_________________
GMAT Club Bot
Re: Football Team T has a total of 120 players, 40 percent of whom   [#permalink] 25 Oct 2019, 23:14

Football Team T has a total of 120 players, 40 percent of whom

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne