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A local group working to get signatures for a petition to pass a new

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A local group working to get signatures for a petition to pass a new [#permalink]

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New post 06 Apr 2018, 05:05
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A local group working to get signatures for a petition to pass a new ordinance lists all signers in their database as either “residents” or “non-residents”. If the ratio of residents to nonresidents in the database is 3 : 5, how many signers are currently listed as non-residents in the database?

(1) If the next six signers are all residents, the ratio of residents to nonresidents in the database will be 1 : 1

(2) If three signers had been incorrectly assigned and were nonresidents rather than residents, the ratio of residents to nonresidents in the database would be 1: 3 once this was corrected.
[Reveal] Spoiler: OA

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Re: A local group working to get signatures for a petition to pass a new [#permalink]

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New post 07 Apr 2018, 00:57
Bunuel wrote:
A local group working to get signatures for a petition to pass a new ordinance lists all signers in their database as either “residents” or “non-residents”. If the ratio of residents to nonresidents in the database is 3 : 5, how many signers are currently listed as non-residents in the database?

(1) If the next six signers are all residents, the ratio of residents to nonresidents in the database will be 1 : 1

(2) If three signers had been incorrectly assigned and were nonresidents rather than residents, the ratio of residents to nonresidents in the database would be 1: 3 once this was corrected.


Let residents = 3x, non-residents = 5x. We need to find 5x, or we need to find x.

(1) If next 6 are all residents, new number of residents = 3x+6 and number of non-residents = 5x. Their ratio is 1:1 which means 3x + 6 = 5x, x=3. Sufficient.

(2) Here new number of residents = 3x-3 ,and new number of non-residents = 5x+3. So new ratio = (3x-3)/(5x+3) = 1/3 (given)
Solving this, we get x=3. Sufficient.

Hence D answer
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Re: A local group working to get signatures for a petition to pass a new [#permalink]

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New post 10 Apr 2018, 01:22
From the question stem: R/NR = 3x/5x(Ratio of residents and non-residents).
i) (3x+6)/5x = 1
Hence, we can easily calculate x and get total 5x(all non-residents signatories count).
ii) (3x-3)/(5x-3) = 1
Again we can easily calculate x and get total 5x(all non-residents signatories count).

Thus D is our answer.
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Re: A local group working to get signatures for a petition to pass a new   [#permalink] 10 Apr 2018, 01:22
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A local group working to get signatures for a petition to pass a new

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