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# In a high school election in which only seniors and juniors could vote

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Math Expert
Joined: 02 Sep 2009
Posts: 64250
In a high school election in which only seniors and juniors could vote  [#permalink]

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28 Mar 2018, 02:02
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Difficulty:

15% (low)

Question Stats:

95% (01:50) correct 5% (02:04) wrong based on 32 sessions

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In a high school election in which only seniors and juniors could vote, one candidate, a high school senior, received 400 of the votes cast by the seniors and 10% of the total votes cast by the juniors. If V is the total number of votes cast in the election and 40% of the total votes were cast by seniors, which of the following expressions represents the number of votes that the candidate received?

(A) 320 + 0.06V
(B) 400 + 0.06V
(C) 720 + 0.1V
(D) 400 + 0.4V
(E) 400 + 0.7V

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Re: In a high school election in which only seniors and juniors could vote  [#permalink]

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28 Mar 2018, 02:34
Bunuel wrote:
In a high school election in which only seniors and juniors could vote, one candidate, a high school senior, received 400 of the votes cast by the seniors and 10% of the total votes cast by the juniors. If V is the total number of votes cast in the election and 40% of the total votes were cast by seniors, which of the following expressions represents the number of votes that the candidate received?

(A) 320 + 0.06V
(B) 400 + 0.06V
(C) 720 + 0.1V
(D) 400 + 0.4V
(E) 400 + 0.7V

We'll translate our question into equations so we understand what we need to do.
This is a Precise approach.

votes received by candidate = 400 from senior + 10% of all junior
40% * V = senior votes --> 60% * V = junior votes
So, 10% of junior = 10% * 60% * V = 0.06V

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Re: In a high school election in which only seniors and juniors could vote  [#permalink]

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29 Mar 2018, 16:35
Bunuel wrote:
In a high school election in which only seniors and juniors could vote, one candidate, a high school senior, received 400 of the votes cast by the seniors and 10% of the total votes cast by the juniors. If V is the total number of votes cast in the election and 40% of the total votes were cast by seniors, which of the following expressions represents the number of votes that the candidate received?

(A) 320 + 0.06V
(B) 400 + 0.06V
(C) 720 + 0.1V
(D) 400 + 0.4V
(E) 400 + 0.7V

The seniors cast 0.4V of the votes, so the juniors cast remaining 0.6V of the votes. Since the candidate received 10% of the the votes cast by the juniors, he received 0.1 x 0.6V = 0.06V votes from the juniors. Since he also received 400 votes from the seniors, the candidate received a total of 400 + 0.06V votes.

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Re: In a high school election in which only seniors and juniors could vote   [#permalink] 29 Mar 2018, 16:35