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 Author: NoHalfMeasures [ 04 Jun 2014, 23:10 ] Post subject: Each vote in a certain election went to one of the two candidates, x Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive? (1) Candidate X received 50% cast by men(2) Candidate Y received 60% cast by women

 Author: WoundedTiger [ 04 Jun 2014, 23:20 ] Post subject: Re: Each vote in a certain election went to one of the two candidates, x MensaNumber wrote:Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive? 1) Candidate X received 50% cast by men2) Candidate Y received 60% cast by womenKudos if you liked the question and would like me to discuss more such official questionsAttachment: Untitled.png [ 7.26 KiB | Viewed 18110 times ] Refer to the table above, We need to find x hereSt 1 gives us a= 0.5* (624+a)....Not sufficient as we need to find b to get our answer.St 2 gives us that 483= 0.6*(483+b)....We can find b and hence x. SufficientAns is B

 Author: NoHalfMeasures [ 04 Jun 2014, 23:16 ] Post subject: Re: Each vote in a certain election went to one of the two candidates, x We already know how many how many men voted for X. to get the total votes of X we need 'how many women voted for XSt1: Does not tell how many women voted for XSt2: If 483 women is 60% of total women then total no. of women voters: 483/0.6. If we subtract 483 from this we will get no. of women who voted for X. SUFFAns: B

 Author: NoHalfMeasures [ 04 Jun 2014, 23:17 ] Post subject: Re: Each vote in a certain election went to one of the two candidates, x Here is a rip off each-of-people-voted-once-in-an-election-x-got-483-from-27128.html for practice

 Author: PiyushK [ 14 Sep 2014, 13:36 ] Post subject: Re: Each vote in a certain election went to one of the two candidates, x It appears language in statement 1 and 2 is altered: following is another version of this question with unambiguous statements.1) Candidate X received 50% cast by men -- It can be interpreted as 50% of votes X received were from man. therefore male votes = female votes = 483. --- stmt 1 is sufficient with this interpretation. 2) Candidate Y received 60% cast by womenEach of people voted once in an election, X got 483 from male voters, Y got 433 from female voters. How many votes did X get? 1) X got votes from 50% of male voters 2) Y got votes from 60% of female voters

 Author: Bunuel [ 14 Sep 2014, 17:44 ] Post subject: Re: Each vote in a certain election went to one of the two candidates, x MensaNumber wrote:Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive? 1) Candidate X received 50% cast by men2) Candidate Y received 60% cast by womenKudos if you liked the question and would like me to discuss more such official questionsThis is a copy of GMAT Prep question: each-person-on-a-committee-with-40-members-voted-for-exactly-129999.html

 Author: BrentGMATPrepNow [ 16 May 2018, 05:33 ] Post subject: Each vote in a certain election went to one of the two candidates, x NoHalfMeasures wrote:Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive? 1) Candidate X received 50% cast by men2) Candidate Y received 60% cast by womenWe can use the Double Matrix Method here to help us arrange our information. The Double Matrix can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of voters, and the two characteristics are: - male or female- voted for X or voted for YSo, we can set up out diagram as follows: X got 483 from male voters, Y got 433 from female voters.We can add that information as follows: Target question: How many votes did X get? Notice that the two blue boxes represent the males and females who voted for X. So, our goal here is to find the sum of these two boxes. Statement 1: X got votes from 50% of male voters The two highlighted boxes represent the male voters. If 50% of them voted for X, then the other 50% voted for Y. So, 483 of the males also voted for Y... We can now see that we don't have enough information to find the sum of the values in the 2 blue boxes As such, statement 1 is NOT SUFFICIENT Statement 2: Y got votes from 60% of female voters The two highlighted boxes represent the female voters. Let's let F = the total number of female voters. If 60% of the females voted for Y, then we can write 0.6F = 433If we wanted to, we COULD solve this equation for F, at which point we COULD ALSO determine the number of females who voted for X.Since we COULD determine the number of females who voted for X, then we COULD ALSO find the total number of people who voted for X Since we could easily answer the target question with certainty, statement 2 is SUFFICIENTAnswer: BTo learn more about the Double Matrix Method, watch this video: Here's a practice question: