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# 8% of the people eligible to vote are between 18 and 21. In an electio

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Math Expert
Joined: 02 Sep 2009
Posts: 47920
8% of the people eligible to vote are between 18 and 21. In an electio  [#permalink]

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22 Oct 2017, 06:32
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:09) correct 16% (00:43) wrong based on 37 sessions

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8% of the people eligible to vote are between 18 and 21. In an election 85% of those eligible to vote who were between 18 and 21 actually voted. In that election, people between 18 and 21 who actually voted were what percent of those people eligible to vote?

(A) 4.2
(B) 6.4
(C) 6.8
(D) 8
(E) 68

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8% of the people eligible to vote are between 18 and 21. In an electio  [#permalink]

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Updated on: 22 Oct 2017, 07:53
Bunuel wrote:
8% of the people eligible to vote are between 18 and 21. In an election 85% of those eligible to vote who were between 18 and 21 actually voted. In that election, people between 18 and 21 who actually voted were what percent of those people eligible to vote?

(A) 4.2
(B) 6.4
(C) 6.8
(D) 8
(E) 68

Let there be $$100$$ people who were eligible to vote

people between 18 & 21 who were eligible to vote $$= 100*8$$%$$=8$$

people between 18 & 21 who voted $$= 8*85$$% $$= 8*0.85$$

Therefore % people between 18 and 21 who actually voted were what percent of those people eligible to vote $$= 8*\frac{0.85}{100}*100 = 6.8$$

Option C

Originally posted by niks18 on 22 Oct 2017, 07:27.
Last edited by niks18 on 22 Oct 2017, 07:53, edited 1 time in total.
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Joined: 21 Jun 2013
Posts: 27
Re: 8% of the people eligible to vote are between 18 and 21. In an electio  [#permalink]

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22 Oct 2017, 07:51
I think the answer should be (C) i.e 6.8 as 85% of 8 is 6.8.
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8% of the people eligible to vote are between 18 and 21. In an electio  [#permalink]

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22 Oct 2017, 10:01
Bunuel wrote:
8% of the people eligible to vote are between 18 and 21. In an election 85% of those eligible to vote who were between 18 and 21 actually voted. In that election, people between 18 and 21 who actually voted were what percent of those people eligible to vote?

(A) 4.2
(B) 6.4
(C) 6.8
(D) 8
(E) 68

This question can be solved using multipliers only.

(.08)(.85) = .068 * 100 = 6.8%

Call those "eligible to vote who were between the ages of 18 and 21," Z

Z = .08 of all eligible voters

"85% of those eligible to vote who were between 18 and 21 Z actually voted."

Z = .08
85 percent = .85
.85 of .08 =
(.85 * .08) = .068 * 100 = 6.8%

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8% of the people eligible to vote are between 18 and 21. In an electio &nbs [#permalink] 22 Oct 2017, 10:01
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