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

 It is currently 21 Nov 2018, 06:07

# LBS is Calling R1 Admits - Join Chat Room to Catch the Latest Action

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# At Perry High School, the ratio of students who participate in either

Author Message
TAGS:

### Hide Tags

SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1849
Location: Pakistan
GPA: 3.39
At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

22 Feb 2017, 01:44
1
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:45) correct 4% (01:05) wrong based on 67 sessions

### HideShow timer Statistics

At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

_________________

Final days of the GMAT Exam? Here is all of GMAT Flashcards.
This Post Helps = +1 Kudos
Best of Luck on the GMAT!!

Senior Manager
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

22 Feb 2017, 01:46
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

#(Students) who did NOT participate in either program = (8/11)*220 = 160

Hence Option D is correct
Hit Kudos if you liked it
Director
Joined: 27 May 2012
Posts: 615
Re: At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

21 Oct 2017, 04:31
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

Not able to grasp this.
Can anybody explain this a little bit more ?
Thank you.
_________________

- Stne

Senior SC Moderator
Joined: 22 May 2016
Posts: 2117
At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

21 Oct 2017, 09:21
2
1
stne wrote:
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

Not able to grasp this.
Can anybody explain this a little bit more ?
Thank you.

stne , I'm not sure which part is unclear.

This question is a little bit about sets (who belongs to which group), but mostly about ratios (what portion of students belong to a group versus what portion of students do not belong to that group).

There are students who participate in either band or choir. Think of them as "participants." Call them P

Then there are students who are in neither program: they are in neither band nor choir. These are non-participants. Call them N

The ratio of students of who participate, to students who do not participate, is 3 to 8.

3P : 8N or 3x : 8x
Those are the parts of the ratio. You have to find the total of the parts:
(3 + 8) = 11.

If you grouped these students into bundles of 11, in every group of 11 students, 3 would be participants (P), and 8 would be non-participants (N).

There are 220 students. How many students, of those 220, do not participate (in either program)? A couple ways to solve.

1) Use a multiplier.
The ratio is 3x:8x = 11x

There are 220 students
11x = 220
x = 20 (multiplier)
8x students do not participate

So (8)(20) = 160 students do not participate (out of 220 students)

2) Use the ratio and make a fraction
3x : 8x = 11x. With this method, you can forget the x. The numbers in the ratio are what matter. There are two "wholes" to consider.

First is the "whole" of the ratio parts, which is 11:
N = $$\frac{part}{whole} =\frac{8}{11}$$

So $$\frac{8}{11}$$ of the students do not participate (N).

The second "whole" to be used is total number of students at the school.

To find N, take $$\frac{8}{11}$$ of 220.

$$\frac{8}{11}$$ * 220 = 160 N students

160 students participate in neither band nor choir

Hope that helps.
Director
Joined: 27 May 2012
Posts: 615
Re: At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

29 Oct 2017, 07:22
1
genxer123 wrote:
stne wrote:
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

Not able to grasp this.
Can anybody explain this a little bit more ?
Thank you.

stne , I'm not sure which part is unclear.

This question is a little bit about sets (who belongs to which group), but mostly about ratios (what portion of students belong to a group versus what portion of students do not belong to that group).

There are students who participate in either band or choir. Think of them as "participants." Call them P

Then there are students who are in neither program: they are in neither band nor choir. These are non-participants. Call them N

The ratio of students of who participate, to students who do not participate, is 3 to 8.

3P : 8N or 3x : 8x
Those are the parts of the ratio. You have to find the total of the parts:
(3 + 8) = 11.

If you grouped these students into bundles of 11, in every group of 11 students, 3 would be participants (P), and 8 would be non-participants (N).

There are 220 students. How many students, of those 220, do not participate (in either program)? A couple ways to solve.

1) Use a multiplier.
The ratio is 3x:8x = 11x

There are 220 students
11x = 220
x = 20 (multiplier)
8x students do not participate

So (8)(20) = 160 students do not participate (out of 220 students)

2) Use the ratio and make a fraction
3x : 8x = 11x. With this method, you can forget the x. The numbers in the ratio are what matter. There are two "wholes" to consider.

First is the "whole" of the ratio parts, which is 11:
N = $$\frac{part}{whole} =\frac{8}{11}$$

So $$\frac{8}{11}$$ of the students do not participate (N).

The second "whole" to be used is total number of students at the school.

To find N, take $$\frac{8}{11}$$ of 220.

$$\frac{8}{11}$$ * 220 = 160 N students

160 students participate in neither band nor choir

Hope that helps.

Thanks
The part which I had forgotten was A or B = A + B - both
So A or B + neither = whole
3x+8x=220
Now its more easy to comprehend.
11x= 220
x=20
hence 8x=160
_________________

- Stne

GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 485
Re: At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

30 Oct 2018, 06:29
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

Trivial application of the k technique and Venn diagrams ("overlapping sets"):

$$\frac{{B \cup C}}{{{\text{none}}}} = \frac{3}{8}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\{ \begin{gathered} \,B \cup C\,\,{\text{ = }}\,\,{\text{3}}k \hfill \\ \,{\text{none}}\,\, = \,\,8k \hfill \\ \end{gathered} \right.\,\,\,\,\,\,\,(k > 0)\,\,\,\,\,\,\,\,\,\left( * \right)$$

$$? = {\text{none}}\,\, = \,\,8k$$

$$220 = {\text{Total}}\,\,{\text{ = }}\,\,B \cup C\,\,{\text{ + }}\,\,{\text{none}}\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,220\,\, = \,\,\,11k$$

$$?\,\,\, = \,\,\,\left( {\frac{8}{{11}}} \right) \cdot 11k\,\,\, = \,\,\,\left( {\frac{8}{{11}}} \right) \cdot 220\,\,\, = \,\,\,160$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fábio.
_________________

Fabio Skilnik :: https://GMATH.net (Math for the GMAT) or GMATH.com.br (Portuguese version)
Course release PROMO : finish our test drive till 30/Nov with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount!

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: At Perry High School, the ratio of students who participate in either  [#permalink]

### Show Tags

31 Oct 2018, 17:33
At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

(A) 40
(B) 60
(C) 100
(D) 160
(E) 180

We can create the equation:

3x + 8x = 220

11x = 220

x = 20

Thus, we see that 8(20) = 160 students do not participate in either program.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: At Perry High School, the ratio of students who participate in either &nbs [#permalink] 31 Oct 2018, 17:33
Display posts from previous: Sort by