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Buy "All-In-One Standard ($149)", get free Daily quiz (2 mon). Coupon code : SPECIAL # 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 Math Expert Joined: 02 Sep 2009 Posts: 52918 Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 24 Nov 2015, 09:31 1 00:00 Difficulty: 25% (medium) Question Stats: 81% (01:51) correct 19% (02:22) wrong based on 100 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 _________________ Manager Joined: 10 Aug 2015 Posts: 103 Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 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 Verbal Forum Moderator Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 2231 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 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 Current Student Joined: 21 Jul 2013 Posts: 106 WE: Securities Sales and Trading (Commercial Banking) Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 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 Director Joined: 20 Feb 2015 Posts: 795 Concentration: Strategy, General Management Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 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 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13546 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Of the votes cast on a certain proposal, 80 more were in favor of the [#permalink] ### Show Tags 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: 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
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Re: Of the votes cast on a certain proposal, 80 more were in favor of the  [#permalink]

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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
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Of the votes cast on a certain proposal, 80 more were in favor of the  [#permalink]

### Show Tags

09 Jan 2016, 02:16
1
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
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Re: Of the votes cast on a certain proposal, 80 more were in favor of the  [#permalink]

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23 Jan 2019, 04:15
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

$$? = t\left( {{\rm{total}}} \right)\,\,\,\,\left\{ \matrix{ \,{\rm{against}}\,\,\,{\rm{ = }}\,\,a\,\,\mathop = \limits^{{\rm{stem}}} \,\,{2 \over 5}t \hfill \cr \,{\rm{for}}\,\,{\rm{ = }}\,\,t - a\,\,\mathop = \limits^{{\rm{stem}}} \,\,80 + a\,\,\, \Rightarrow 2a = t - 80 \hfill \cr} \right.\,\,\,\, \Rightarrow \,\,\,2\left( {{2 \over 5}t} \right) = t - 80\,\,\,\, \Rightarrow \,\,\,{1 \over 5}t = 80\,\,\,\, \Rightarrow \,\,\,\left( {\rm{B}} \right)$$

We follow the notations and rationale taught in the GMATH method.

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

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27 Jan 2019, 18:27
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

We can let n = the total number of votes. Thus, 0.4n votes were against the proposal, and 0.6n votes were in favor of the proposal. We can create the equation:

0.6n - 0.4n = 80

0.2n = 80

n = 80/0.2 = 800/2 = 400

Answer: B
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Re: Of the votes cast on a certain proposal, 80 more were in favor of the   [#permalink] 27 Jan 2019, 18:27
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# Of the votes cast on a certain proposal, 80 more were in favor of the

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