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# At a local election there were two propositions on the ballot, R and S

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Math Expert
Joined: 02 Sep 2009
Posts: 55266
At a local election there were two propositions on the ballot, R and S  [#permalink]

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27 Nov 2018, 00:26
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:38) correct 30% (03:12) wrong based on 38 sessions

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At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?

A. 122
B. 127
C. 130
D. 135
E. 140

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Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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27 Nov 2018, 10:11
Bunuel wrote:
At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?

A. 122
B. 127
C. 130
D. 135
E. 140

Since given that yes of R = 2* yes of S

So 310 Yes of S = 310* 2= 620 Yes of R
And for both 750-620 = 130 option C
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Manager
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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09 Dec 2018, 09:03
Hi Archit3110
750 is given only for Yes to R and No to S , not both R and S
you are including both R and S in 750

Archit3110 wrote:
Bunuel wrote:
At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?

A. 122
B. 127
C. 130
D. 135
E. 140

Since given that yes of R = 2* yes of S

So 310 Yes of S = 310* 2= 620 Yes of R
And for both 750-620 = 130 option C

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Joined: 18 Aug 2017
Posts: 3520
Location: India
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Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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09 Dec 2018, 09:39
sunita123 wrote:
Hi Archit3110
750 is given only for Yes to R and No to S , not both R and S
you are including both R and S in 750

Archit3110 wrote:
Bunuel wrote:
At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?

A. 122
B. 127
C. 130
D. 135
E. 140

Since given that yes of R = 2* yes of S

So 310 Yes of S = 310* 2= 620 Yes of R
And for both 750-620 = 130 option C

sunita123 solution attached 2x2 matrix..

Posted from my mobile device
Attachments

File comment: 2x2 matrix

IMG_20181209_220720860.jpg [ 3.54 MiB | Viewed 611 times ]

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CEO
Joined: 18 Aug 2017
Posts: 3520
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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09 Dec 2018, 09:41
sunita123 wrote:
Hi Archit3110
750 is given only for Yes to R and No to S , not both R and S
you are including both R and S in 750

Archit3110 wrote:
Bunuel wrote:
At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?

A. 122
B. 127
C. 130
D. 135
E. 140

Since given that yes of R = 2* yes of S

So 310 Yes of S = 310* 2= 620 Yes of R
And for both 750-620 = 130 option C

sunita123 : i had actually solved question linearly , anyways I have attached the 2x2 matrix solution hope this helps .
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Manager
Joined: 28 Jun 2018
Posts: 74
Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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11 Dec 2018, 02:27
Bunuel could you solve this? I think there's a problem with the question
Re: At a local election there were two propositions on the ballot, R and S   [#permalink] 11 Dec 2018, 02:27
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