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# In a recent election, Ms. Robinson received 8000 voters cast

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In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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Updated on: 29 Aug 2012, 03:10
3
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Difficulty:

25% (medium)

Question Stats:

76% (01:22) correct 24% (01:35) wrong based on 287 sessions

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In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?

(A) 0.06N+3200
(B) 0.1N+7200
(C) 0.4N+7200
(D) 0.1N+8000
(E) 0.06N+8000

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Originally posted by monirjewel on 12 Nov 2010, 21:55.
Last edited by Bunuel on 29 Aug 2012, 03:10, edited 1 time in total.
Edited the question.
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Re: In a recent election  [#permalink]

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12 Nov 2010, 22:27
3
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monirjewel wrote:
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
(A) .06N+3200
(B) .1N+7200
(C) .4N+7200
(D) .1N+8000
(E) .06N+8000

40% of N are independent voters, hence 60% of N are not independent voters. From this group she received 10% votes so, 0.1*0.6*N plus 8,000 votes from independents: total=0.1*0.6*N+8,000=0.06*N+8,000.

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Re: In a recent election  [#permalink]

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14 Nov 2010, 14:01
40% independent voters= 0.4n
60% poltical party ppl= 0.6n

= 8000 + 10% of .06n
= 8000 + 0.1*0.6*n
=8000 + 0.06n

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Re: In a recent election  [#permalink]

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18 Aug 2012, 02:54
1
Wordings is quite poor as the question does not state that Robinson received 100% of the votes cast by independent voters i.e. 0.4N = 8000.
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Re: In a recent election  [#permalink]

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29 Aug 2012, 03:05

Let X be the Total Number of Votes received by Ms. Robinson.

In which 8000 votes cast by independent voters + 10 percent of the votes cast by voters registered with a political party

According to question, N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters

So, X = 8000 + 10% of (100-40)%N

X = 8000 + 0.06 N
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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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29 Aug 2012, 07:25
Total no. of vote = N.
Therefore,Mrs Robinson received : .60*N*.10 +8000 = .06N+8000.
The ans. is E
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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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18 Aug 2016, 07:39
Where is my reasoning incorrect. Please advise:

Given:
8000 votes by independent
10% votes of total not independent
40% votes from N (total) = independent voters

My solution 1:
8000 + 0.10(N - 8000)
8000 + 0.10N - 800
0.10N + 7,200

Why is this incorrect?

Solution 2:
8000/0.40 = 20,000
IV = 8000
Not IV = 12000 * 0.10 = 1200
8000 + 1200 = 9200 (total votes Ms. Robbins received)

Checking the answers by plugging in 20000 for N:
A - out
B - correct
C - out
D - out
E - correct

B or E, from solution 1 I chose B?

Thank you
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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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18 Aug 2016, 07:47
g3lo18 wrote:
Where is my reasoning incorrect. Please advise:

Given:
8000 votes by independent
10% votes of total not independent
40% votes from N (total) = independent voters

My solution 1:
8000 + 0.10(N - 8000)
8000 + 0.10N - 800
0.10N + 7,200

Why is this incorrect?

Solution 2:
8000/0.40 = 20,000
IV = 8000
Not IV = 12000 * 0.10 = 1200
8000 + 1200 = 9200 (total votes Ms. Robbins received)

Checking the answers by plugging in 20000 for N:
A - out
B - correct
C - out
D - out
E - correct

B or E, from solution 1 I chose B?

Thank you

The highlighted part is not correct. The number of registered voters is not N - 8000, because the number of independent voters is not 8000. 8000 is the number of independent voters received by Ms. Robinson.
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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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22 Sep 2017, 06:57
monirjewel wrote:
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?

(A) 0.06N+3200
(B) 0.1N+7200
(C) 0.4N+7200
(D) 0.1N+8000
(E) 0.06N+8000

We are given that Ms. Robinson received 8,000 votes cast by independent voters and 10% of the votes cast by voters affiliated with a party.

Since N is the total number of votes and 40% of the votes were cast by independent voters, 60% of the votes were cast by voters affiliated with a party.

Since Ms. Robinson received 10% of the votes cast by voters affiliated with a party, she received (0.1)(0.6)N = 0.06N of the votes by voters who are affiliated with a party. Since she also received 8,000 votes from independent voters, she received 0.06N + 8,000 total votes.

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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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27 Oct 2017, 21:20
1
After putting the value of N(20,000) in the equations, both B and E are correct. So, how to choose the correct option.
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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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10 Jan 2018, 19:38
Hi All,

This question can actually be answered with just a little logic (no real calculations are required).

From the first sentence, we know that Ms. Robbins received 8,000 votes; and from the second sentence, we know she received 10% of the votes from voters registered with a political party. We're told that N is the TOTAL number of votes cast. Since the 10% that were mentioned was NOT 10% of the total votes, the remaining votes that Ms. Robbins received CANNOT be described as .1N (it has to be something LESS than .1N). There's only one answer that matches.

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Re: In a recent election, Ms. Robinson received 8000 voters cast  [#permalink]

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24 Mar 2018, 20:16
tusumathur1995 wrote:
After putting the value of N(20,000) in the equations, both B and E are correct. So, how to choose the correct option.

The assumption that you made here is that others didn't receive any independent voters vote . Hence we can't conclude that 0.4*N=8000 .

I did the same mistake while solving initially .

Hope it clarifies the doubt.

Hence answer E is the only correct answer
Re: In a recent election, Ms. Robinson received 8000 voters cast &nbs [#permalink] 24 Mar 2018, 20:16
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# In a recent election, Ms. Robinson received 8000 voters cast

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