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# In a recent town election, what was the ratio of the number of votes

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Joined: 02 Sep 2009
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In a recent town election, what was the ratio of the number of votes  [#permalink]

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24 Jun 2018, 11:38
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In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal?

(1) There were 60 more votes in favor of the proposal than against the proposal.
(2) There were 240 votes in favor of the proposal.

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(DS10687)

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Re: In a recent town election, what was the ratio of the number of votes  [#permalink]

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24 Jun 2018, 11:41
Clearly C, because statement one is missing the total number and statement B is missing a relationship between both options.
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Re: In a recent town election, what was the ratio of the number of votes  [#permalink]

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24 Jun 2018, 11:52
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Top Contributor
Bunuel wrote:
In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal?

(1) There were 60 more votes in favor of the proposal than against the proposal.
(2) There were 240 votes in favor of the proposal.

Let F = the number of votes in FAVOR of the proposal
Let A = the number of votes AGAINST the proposal

Target question: What is the value of F/A?

Statement 1: There were 60 more votes in favor of the proposal than against the proposal.
In other words, F = A + 60
Let's TEST some values.
There are several values of F and A that satisfy the equation F = A + 60. Here are two:
Case a: F = 70 and A = 10. In this case, the answer to the target question is F/A = 70/10
Case b: F = 80 and A = 20. In this case, the answer to the target question is F/A = 80/20
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: There were 240 votes in favor of the proposal.
In other words, F = 240
Since we have no information about the number of votes AGAINST the proposal (i.e., the value of A), we cannot answer the target question.
So, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that F = A + 60
Statement 2 tells us that F = 240
When we use BOTH statements, we can conclude that A = 180 (and F = 240)
So, the answer to the target question is F/A = 240/180
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Cheers,
Brent
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Re: In a recent town election, what was the ratio of the number of votes  [#permalink]

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25 Jun 2018, 03:52

Solution

To find:
• The ratio of the number of votes in favour to the number of votes against the proposal

Analysing Statement 1
• As per the information given in statement 1, there were 60 more votes in favor of the proposal than against the proposal
o If we assume the number of votes against the proposal to be n, then the number of votes in favour will be n + 60
o But we don’t know the value of n, hence, we can’t find the value of the ratio $$\frac{n+60}{n}$$

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information given in statement 2, there were 240 voters in favour of the proposal
o Only considering this statement, we don’t have any information about the number of votes against the proposal

Hence, statement 2 is not sufficient to answer

Combining Both Statements
If we combine both the statements, we can say:
• 240 votes were in favour of the proposal and it is 60 more than the votes against the proposal
• Therefore, we can find out the exact number of votes for and against the proposal, and thus, we can find out the required ratio

Hence, the correct answer is option C.

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Re: In a recent town election, what was the ratio of the number of votes  [#permalink]

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29 Jun 2018, 01:24

1. There were 60 more votes in favor of the proposal than against the proposal.

Lets assume, Non-favored = X
Favored= x+60

x+60/x?

We cannot find it since we dont know the value of X

2. Favored= 240. This is ALONE not sufficient since we dont know the value of Non-Favored

From Statement 1 and 2:
Favored = X+60 = 240 i.e. x=60 which is value of non-favored.

We can calc the ratio of these two.
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Re: In a recent town election, what was the ratio of the number of votes  [#permalink]

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01 Jul 2019, 08:15
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Re: In a recent town election, what was the ratio of the number of votes   [#permalink] 01 Jul 2019, 08:15
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# In a recent town election, what was the ratio of the number of votes

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