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# In a recent election, Ms. Robbins received 8,000 votes cast by indepen

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18 Oct 2015, 12:04
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25% (medium)

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77% (02:01) correct 23% (02:19) wrong based on 1812 sessions

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In a recent election, Ms. Robbins received 8,000 votes 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 Ms. Robbins received?

(A) 0.06N + 3,200
(B) 0.1N + 7,200
(C) 0.4N + 7,200
(D) 0.1N + 8,000
(E) 0.06N + 8,000

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18 Oct 2015, 14:39
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Bunuel wrote:
In a recent election, Ms. Robbins received 8,000 votes 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 Ms. Robbins received?

(A) 0.06N + 3,200
(B) 0.1N + 7,200
(C) 0.4N + 7,200
(D) 0.1N + 8,000
(E) 0.06N + 8,000

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Hi,

I will go with option E
According to question 40 percent of total votes (N) cas were cast by independent voters. This implies 60 percent of N are voters that belong to political party. And she received 8000 votes from independent voters and 10 percent from registered voters (i.e 0.1 * 0.6 * N = 0.06N). Hence total votes = 8000 + 0.06N ....option E
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18 Oct 2015, 15:24
I used numbers-- took N- 20,000.. (E)
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18 Oct 2015, 21:54
2
Bunuel wrote:
In a recent election, Ms. Robbins received 8,000 votes 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 Ms. Robbins received?

(A) 0.06N + 3,200
(B) 0.1N + 7,200
(C) 0.4N + 7,200
(D) 0.1N + 8,000
(E) 0.06N + 8,000

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total vote = N
vote cast by independent voters = 0.4 N
vote cast by registered voters = 0.6 N

vote received by Ms. Robbins = 8000 + 10% of vote be registered voters = 8000 + 0.06 N

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17 May 2016, 19:08
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Attached is a visual that should help.
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Screen Shot 2016-05-17 at 8.10.19 PM.png [ 111.2 KiB | Viewed 17705 times ]

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08 Oct 2016, 18:15
Independent votes for Robbin = 8000

Registered votes = (N - 0.4N)

= 8000 + 0.1(N - 0.4N)
= 8000 + 0.06N
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30 Oct 2017, 13:02
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Bunuel wrote:
In a recent election, Ms. Robbins received 8,000 votes 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 Ms. Robbins received?

(A) 0.06N + 3,200
(B) 0.1N + 7,200
(C) 0.4N + 7,200
(D) 0.1N + 8,000
(E) 0.06N + 8,000

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

Since Ms. Robbins received 10% of the votes cast by those who are affiliated with a party, she received (0.1)(0.6)N = 0.06N of the votes from 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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17 Jan 2018, 12:18
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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20 Jan 2018, 06:00
For my this question is very wordy and hard to understand, even the math is really easy.
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06 Feb 2020, 23:25
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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen   [#permalink] 06 Feb 2020, 23:25