It is currently 15 Jan 2018, 23:58

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Of the votes cast on a certain proposal, 80 more were in favor of the

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43292

Kudos [?]: 139136 [0], given: 12776

Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 24 Nov 2015, 09:31
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:27) correct 21% (01:51) wrong based on 68 sessions

HideShow timer Statistics

Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)

(A) 480
(B) 400
(C) 300
(D) 240
(E) 160
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139136 [0], given: 12776

Manager
Manager
avatar
Joined: 10 Aug 2015
Posts: 103

Kudos [?]: 89 [0], given: 20

GMAT ToolKit User
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 24 Nov 2015, 09:43
Bunuel wrote:
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)

(A) 480
(B) 400
(C) 300
(D) 240
(E) 160


Solution : Let x be no. of votes against the proposal. Then no. of votes in favor would be x+80 and total no. of votes would be 2x+80.
40%(2X + 80) = X ==> X=160.
Total no. of votes = 2(160) + 80 = 400

Option B

Kudos [?]: 89 [0], given: 20

Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1888

Kudos [?]: 1126 [0], given: 93

Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 24 Nov 2015, 09:48
Let the total number of votes cast = T
Number of votes cast in favour of proposal = F
Number of votes cast against the proposal = A

F = A + 80 -- 1
Since , the number of votes against the proposal was 40 percent of the total vote
A= (40/100)*T = .4T -- 2
=> F = (60/100)*T = .6T -- 3

From equations 1 , 2 and 3 ,we get
.2T = 80
=> T= 400
Answer B
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Kudos [?]: 1126 [0], given: 93

Manager
Manager
User avatar
Joined: 21 Jul 2013
Posts: 109

Kudos [?]: 40 [0], given: 142

WE: Securities Sales and Trading (Commercial Banking)
GMAT ToolKit User
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 07 Dec 2015, 16:50
Let x be the total of votes cast, the solution we want.
Number of people against the proposal: \(\frac{40}{100}\) x
Number of people in favor: 1 - \(\frac{40}{100}\) x = \(\frac{60}{100}\) x

Since,
Bunuel wrote:
80 more were in favor of the proposal than were against it

that means 80 is the difference of the two percentages.
\(\frac{60}{100}\) x - \(\frac{40}{100}\) x = \(\frac{20}{100}\) x

\(\frac{20}{100}\) x = 80
x = 400

Kudos [?]: 40 [0], given: 142

Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2015
Posts: 387

Kudos [?]: 112 [0], given: 10

Concentration: Strategy, General Management
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 08 Dec 2015, 00:14
favour of proposal =x+80
against the proposal=x
total votes =2x+80
now,
.4(2x+80)=x
.8x+32=x
.2x=320
x=320/2=160=votes against
total votes =320+80=400

Kudos [?]: 112 [0], given: 10

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10673

Kudos [?]: 3771 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 08 Dec 2015, 16:54
Hi All,

This question can be solved by TESTing THE ANSWERS.

Under normal circumstances, we would start by TESTing Answer B or D first. Since B is the 'easier' value, we'll start there...

Answer B: 400 total votes

We're told that 40% of the total votes were votes AGAINST the proposal:
(.4)(400) = 160 votes against

So the remaining votes were in FAVOR of the proposal:
400 - 160 = 240 votes for

With these two numbers, the difference is 240-160 = 80, which is a MATCH for what we were told. Thus, this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3771 [0], given: 173

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 602

Kudos [?]: 36 [0], given: 41

Schools: Cambridge'16
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 09 Jan 2016, 01:36
Against = x
For = x+80

get proportion

x/x+x+80=4/10

10x=8x+320 => x=160, so total number = 160*2+80=400

B

Kudos [?]: 36 [0], given: 41

Expert Post
1 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5511

Kudos [?]: 6398 [1], given: 122

Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 09 Jan 2016, 02:16
1
This post received
KUDOS
Expert's post
Bunuel wrote:
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)

(A) 480
(B) 400
(C) 300
(D) 240
(E) 160


Hi,
Although a relatively simpler Question, fast thinking can save time for slightly complex Qs later..
IF votes against are 40 %, votes for will be 60%.
the difference is 20% which is given as 80..
so total will be 80/20 * 100=400
B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


BANGALORE/-

Kudos [?]: 6398 [1], given: 122

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14279

Kudos [?]: 291 [0], given: 0

Premium Member
Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink]

Show Tags

New post 13 Dec 2017, 06:30
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 291 [0], given: 0

Re: Of the votes cast on a certain proposal, 80 more were in favor of the   [#permalink] 13 Dec 2017, 06:30
Display posts from previous: Sort by

Of the votes cast on a certain proposal, 80 more were in favor of the

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

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®.