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

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

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New post 18 Oct 2015, 13:04
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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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[Reveal] Spoiler: OA

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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen [#permalink]

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New post 18 Oct 2015, 15:39
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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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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen [#permalink]

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New post 18 Oct 2015, 16:24
I used numbers-- took N- 20,000.. (E)

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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen [#permalink]

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New post 18 Oct 2015, 22:54
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

Kudos for a correct solution.



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

Answer choice E

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

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New post 17 May 2016, 20:08
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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
Screen Shot 2016-05-17 at 8.10.19 PM.png [ 111.2 KiB | Viewed 4337 times ]


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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen [#permalink]

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New post 08 Oct 2016, 19:15
Independent votes for Robbin = 8000
Registered votes for Robbin = 10% of total registered votes

N = Total Votes
0.4N = Independent votes
Registered votes = (N - 0.4N)

Robbins Votes = 8000 + 10% of Registered votes
= 8000 + 0.1(N - 0.4N)
= 8000 + 0.06N
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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen [#permalink]

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New post 30 Oct 2017, 14:02
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.

Answer: E
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Re: In a recent election, Ms. Robbins received 8,000 votes cast by indepen   [#permalink] 30 Oct 2017, 14:02
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In a recent election, Ms. Robbins received 8,000 votes cast by indepen

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