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

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

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New post 26 Nov 2018, 23:26
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Question Stats:

82% (01:35) correct 18% (02:33) wrong based on 28 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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New post 27 Nov 2018, 09:11
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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Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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New post 09 Dec 2018, 08:03
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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Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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New post 09 Dec 2018, 08:39
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
IMG_20181209_220720860.jpg [ 3.54 MiB | Viewed 93 times ]


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

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New post 09 Dec 2018, 08:41
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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Re: At a local election there were two propositions on the ballot, R and S  [#permalink]

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New post 11 Dec 2018, 01:27
Bunuel could you solve this? I think there's a problem with the question
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Re: At a local election there were two propositions on the ballot, R and S &nbs [#permalink] 11 Dec 2018, 01:27
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At a local election there were two propositions on the ballot, R and S

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