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

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

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New post 08 Jan 2018, 01:10
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A
B
C
D
E

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  35% (medium)

Question Stats:

65% (01:01) correct 35% (01:03) wrong based on 36 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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New post 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!
(C) is our answer.

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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New post 08 Jan 2018, 01:58
Re: Thirty–thousand people voted for or against Resolution T. What was the   [#permalink] 08 Jan 2018, 01:58
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