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In a certain voting district, 40 percent of registered voters live in

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In a certain voting district, 40 percent of registered voters live in  [#permalink]

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New post 02 Jun 2016, 10:10
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In a certain voting district, 40 percent of registered voters live in Town A and the rest live in Town B. In the last election, 70 percent of the registered voters from Town A voted. If equal numbers of registered voters from both towns voted, approximately what percent of the registered voters from Town B voted?

(A) 72%
(B) 47%
(C) 42%
(D) 34%
(E) 28%
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Re: In a certain voting district, 40 percent of registered voters live in  [#permalink]

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New post 02 Jun 2016, 10:43
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felippemed wrote:
In a certain voting district, 40 percent of registered voters live in Town A and the rest live in Town B. In the last election, 70 percent of the registered voters from Town A voted. If equal numbers of registered voters from both towns voted, approximately what percent of the registered voters from Town B voted?

(A) 72%
(B) 47%
(C) 42%
(D) 34%
(E) 28%

Dear felippemed,
I'm happy to respond. :-) Those GMAT Paper tests are great sources for high quality practice problems!

Let's say there are 1000 registered voters, 400 in A and 600 in B. We know that 70% of those 400 in A voted. Well, 10% of 400 is 40, so 70% is seven times that, 280 voters in A. Now, suppose 280 of the 600 voters in B voted: what's that as a percent? Clearly, it's close to 300, 50%, but slightly less.

300 is 50% of 600
6 is 1% of 600
280 is approximately 300 - 6 - 6 - 6, so 50% - 1% - 1% - 1%, or about 47%.

Does all this make sense?
Mike :-)
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Re: In a certain voting district, 40 percent of registered voters live in  [#permalink]

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New post 02 Jun 2016, 11:05
felippemed wrote:
In a certain voting district, 40 percent of registered voters live in Town A and the rest live in Town B. In the last election, 70 percent of the registered voters from Town A voted. If equal numbers of registered voters from both towns voted, approximately what percent of the registered voters from Town B voted?

(A) 72%
(B) 47%
(C) 42%
(D) 34%
(E) 28%


Attachment:
Capture.PNG
Capture.PNG [ 3.04 KiB | Viewed 2177 times ]


Percent of the registered voters from Town B voted = \(\frac{28}{60}\) x \(100\) ~ \(47%\)

Hence Answer will be (B)

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Re: In a certain voting district, 40 percent of registered voters live in  [#permalink]

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New post 07 Jun 2016, 11:27
Algebraic approach:

Town A is 40%, therefore town B must be 60%
Town A registered voters:\(0.70*0.40 = 0.28\)
Town B registered voters: \(0.60x = 0.28\) --> \(x = \frac{28}{60}\) which is a little bit less than 50 percent.
Answer choice B.
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Re: In a certain voting district, 40 percent of registered voters live in  [#permalink]

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New post 18 Jan 2018, 06:36
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a certain voting district, 40 percent of registered voters live in &nbs [#permalink] 18 Jan 2018, 06:36
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