In a recent election

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boomgoesthegmat: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Mon Apr 25, 2016 2:22 pmFollowed by: 1 member; Thanked: 1 times

by boomgoesthegmat » Wed May 04, 2016 4:44 am

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

OA: E

Source: Beat The GMAT — Problem Solving | Wed May 04, 2016 4:44 am

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by [email protected] » Wed May 04, 2016 2:58 pm

Hi boomgoesthegmat,

You've been posting large blocks of questions, but you haven't discussed any of YOUR attempt at solving them. Why did you get them wrong? What did you miss? What aspect of each question are you really interested in. It's a good bed that all of these questions have been discussed somewhere online already, so what specifically are you looking for when YOU post them?

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.

Final Answer: E

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Rich

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OptimusPrep: Master | Next Rank: 500 Posts; Posts: 410; Joined: Fri Mar 13, 2015 3:36 amFollowed by: 8 members; Location: Worldwide; Thanked: 120 times; GMAT Score:770

by OptimusPrep » Wed May 04, 2016 7:33 pm

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

OA: E

N = Total votes.
Votes by independent voters = 0.4N
Votes by registered voters = 0.6N

Votes of registered voters received by Ms. Robbins = 0.1(0.6N) = 0.06N
Votes of independent voters received by Ms. Robbins = 8000

Total votes received by Ms. Robbins = 0.06N = 8000

Correct Option: E

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