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Buy "All-In-One Standard ($149)", get free Daily quiz (2 mon). Coupon code : SPECIAL # In a certain state, the ratio of registered Republicans to registered  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 52938 In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 10 Feb 2015, 07:35 1 4 00:00 Difficulty: 45% (medium) Question Stats: 69% (02:18) correct 31% (02:46) wrong based on 128 sessions ### HideShow timer Statistics In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election? A. 2% B. 5% C. 8% D. 10% E. 15% Kudos for a correct solution. _________________ ##### Most Helpful Community Reply Intern Joined: 19 Sep 2014 Posts: 21 Concentration: Finance, Economics GMAT Date: 05-05-2015 Re: In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 10 Feb 2015, 09:16 5 Bunuel wrote: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election? A. 2% B. 5% C. 8% D. 10% E. 15% Kudos for a correct solution. Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 50 (as the total number of voters) and thus 30:20 represents the number ratio of Republicans:Democrats. If 80% of Republicans (which is (30*0.8) = 24) and 15% of Democrats (20*0.15 = 3) voted for candidate X, means that out of total of 50 voters; 27 (24 + 3) voters voted for candidate X and 23 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 4 (27-23) votes. Therefore candidate X is expected to win the election by (4/50) votes which is equivalent to 8%. I think the answer is C. Please consider giving me kudos, if you felt this post was helpful! Thanks. ##### General Discussion Manager Joined: 03 Oct 2014 Posts: 131 Location: India Concentration: Operations, Technology GMAT 1: 720 Q48 V40 WE: Engineering (Aerospace and Defense) Re: In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 10 Feb 2015, 08:18 1 C - 8%.....Let the total voters be 5x... Ratio = 3x : 2x 0.8(3x) + 0.15(2x) = 2.7x voted for candidate X Winning total = 2.5x.....percentage 0.2x/2.5x*100 = 8% SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1821 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 12 Feb 2015, 01:19 2 Answer = C = 8% Republican ...................... Democrats ................ Total 300 ..................................... 200 ......................... 500 (Assume; ratio 3:2) 270 ...................................... 230 ...................... 500 (Votes polled) From 500 votes polled, Republicans got 40 more Percentage $$= \frac{40}{500} * 100 = 8%$$ _________________ Kindly press "+1 Kudos" to appreciate Manager Joined: 27 Oct 2013 Posts: 208 Location: India Concentration: General Management, Technology GMAT Date: 03-02-2015 GPA: 3.88 Re: In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 12 Feb 2015, 02:30 1 Here we go: Let the total number of voters = p Republicans = 3/5 * p Democrats = 2/5 * p Those who voted for X 0.8 * (3/5 * p) + 0.15 * (2/5 * p) = 0.54p Those who voted for Y p - 0.54p = 0.48p by what percent is Candidate X expected to win the election will be given by (0.54p - 0.48p / p) * 100 = 8 % Option C EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13551 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: In a certain state, the ratio of registered Republicans to registered [#permalink] ### Show Tags 12 Feb 2015, 22:38 4 Hi All, This question is perfect for TESTing VALUES. You'll notice the "percent sign" in the answer choices and the repeated usage of the word "percent" in the prompt. In these situation, using the number 100 will usually make the math pretty easy to do. We're told that the ratio of Republicans to Democrats is 3:2 Total voters = 100 Republicans = 60 Democrats = 40 We're told that 80% of Republicans and 15% of Democrats are expected to vote for Candidate X: 80%(60) + 15%(40) = 48 + 6 = 54 voters (or 54% of the total voters) are expected to vote for Candidate X. We're told that the rest are expected to vote for Candidate Y: 100% - 54% = 46% are expected to vote for Candidate Y. We're asked for "what percent" Candidate X is expected to win by.... 54 percent - 46 percent = 8 percent 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: In a certain state, the ratio of registered Republicans to registered  [#permalink]

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16 Feb 2015, 04:39
Bunuel wrote:
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?

A. 2%
B. 5%
C. 8%
D. 10%
E. 15%

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION

First, we must calculate what percent of the total votes Candidate X is expected to get. We know that 60% of the voters are Republican and 40% are Democratic. 80% of the Republicans will vote for X, so .8 * 60% = 48%. 15 percent of the Democrats will vote for X, so .15 * 40% = 6%. Thus, Candidate X is expected to gather 54% of the total vote. Candidate Y gets the remainder, or 100% - 54%, or 46%. Thus, Candidate X is expected to defeat Candidate Y by a margin of 8% (54% - 46%). Thus, answer choice C is correct.
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Re: In a certain state, the ratio of registered Republicans to registered  [#permalink]

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14 Sep 2017, 09:45
Bunuel wrote:
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?

A. 2%
B. 5%
C. 8%
D. 10%
E. 15%

We are given that the ratio of Republicans to Democrats = 3x : 2x, so the total number of voters is 5x.

Since 80 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X:

0.8(3x) = 2.4x Republicans and 0.15(2x) = 0.3x Democrats are expected to vote for Candidate X.

Therefore, Candidate X will win by:

(2.7x - 2.3x)/5x = 0.4/5 = 4/50 = 8%.

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Re: In a certain state, the ratio of registered Republicans to registered  [#permalink]

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29 Sep 2018, 21:40
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Re: In a certain state, the ratio of registered Republicans to registered   [#permalink] 29 Sep 2018, 21:40
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