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Thirty–thousand people voted for or against Resolution T. What was the

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Math Expert
Joined: 02 Sep 2009
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Thirty–thousand people voted for or against Resolution T. What was the  [#permalink]

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08 Jan 2018, 01:10
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56% (01:48) correct 44% (01:44) wrong based on 79 sessions

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Thirty–thousand people voted for or against Resolution T. What was the ratio of democrats to republicans who voted if no third parties voted?

(1) 1/3 of the democrats who voted and 3/4 of the republicans who voted, voted for resolution T.
(2) 10,000 people voted against the resolution.

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Re: Thirty–thousand people voted for or against Resolution T. What was the  [#permalink]

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08 Jan 2018, 01:29
Bunuel wrote:
Thirty–thousand people voted for or against Resolution T. What was the ratio of democrats to republicans who voted if no third parties voted?

(1) 1/3 of the democrats and 3/4 of the republicans voted for resolution T.
(2) 10,000 people voted against the resolution.

Since we have the total number of voters all we need is the number of Republicans or Democrats who voted.
We'll look for an answer that gives us this information, a Logical approach.

(1) We can't use this to calculate a number!
Insufficient.

(2) But is this number Republican or Democrat?
Insufficient.

Combined:
We can now combine the ratios in (1) with the number in (2) to calculate a number of Democrats or Republicans.
Sufficient!

Just for practice, the equations are:
1/3 D + 3/4 R = 20,000
2/3 D + 1/4 R = 10,000
Multiplying the first equation by 2 and subtracting the second gives
5/4 R = 30,000 --> R = 24,000 so D = 6,000 and the ratio is 4:1

Bunuel are we assuming that (1) refers only to the dems/reps who actually voted? otherwise the answer is (E)
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Re: Thirty–thousand people voted for or against Resolution T. What was the  [#permalink]

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08 Jan 2018, 01:58
DavidTutorexamPAL wrote:
Bunuel are we assuming that (1) refers only to the dems/reps who actually voted? otherwise the answer is (E)

Yes. Edited to avoid confusion.
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Re: Thirty–thousand people voted for or against Resolution T. What was the  [#permalink]

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21 Mar 2019, 01:33
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Re: Thirty–thousand people voted for or against Resolution T. What was the   [#permalink] 21 Mar 2019, 01:33
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