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# Diana received 45% of votes cast in a certain election. What fraction

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Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1269
Location: India
WE: Engineering (Other)
Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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Updated on: 23 Feb 2018, 23:22
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:18) correct 30% (00:52) wrong based on 80 sessions

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Diana received 45% of votes cast in a certain election. What fraction of other votes cast would she have needed in order to receive 50% of votes cast?

A) 1/20
B) 1/15
C) 1/11
D) 1/5
D) 1/2

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Originally posted by adkikani on 23 Feb 2018, 22:45.
Last edited by Bunuel on 23 Feb 2018, 23:22, edited 1 time in total.
RENAMED THE TOPIC AND EDITED THE TAGS.
Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1269
Location: India
WE: Engineering (Other)
Re: Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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23 Feb 2018, 22:56
1
niks18 Hatakekakashi

Is my interpretation of second sentence correct?

Fraction means Numerator / Denominator

where
Numerator = Additional votes needed to make grand total as 50%
(she already had 45% hence she needs 5% more) or $$\frac{5}{100}$$

Denominator = Total of OTHER votes (55%) or $$\frac{55}{100}$$

Hence ans = $$\frac{5}{100}$$ * $$\frac{100}{55}$$

or $$\frac{1}{11}$$
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Re: Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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23 Feb 2018, 23:05
niks18 Hatakekakashi

Is my interpretation of second sentence correct?

Fraction means Numerator / Denominator

where
Numerator = Additional votes needed to make grand total as 50%
(she already had 45% hence she needs 5% more) or $$\frac{5}{100}$$

Denominator = Total of OTHER votes (55%) or $$\frac{55}{100}$$

Hence ans = $$\frac{5}{100}$$ * $$\frac{100}{55}$$

or $$\frac{1}{11}$$

Yes your approach is correct. Just to simplify what you did here, is that you assumed total votes to be 100, so the votes in favor becomes 45 and other becomes 55

now you need 5 votes to reach 50, and this 5 has to come from 55 other votes i.e 5/55=1/11
Study Buddy Forum Moderator
Joined: 04 Sep 2016
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Re: Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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23 Feb 2018, 23:12
niks18

Quote:
Just to simplify what you did here, is that you assumed total votes to be 100, so the votes in favor becomes 45 and other becomes 55

Yes, since we dealing with % so presume that's quickest way to solve.
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GMAT 1: 710 Q49 V36
Re: Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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24 Feb 2018, 08:22
niks18 Hatakekakashi

Is my interpretation of second sentence correct?

Fraction means Numerator / Denominator

where
Numerator = Additional votes needed to make grand total as 50%
(she already had 45% hence she needs 5% more) or $$\frac{5}{100}$$

Denominator = Total of OTHER votes (55%) or $$\frac{55}{100}$$

Hence ans = $$\frac{5}{100}$$ * $$\frac{100}{55}$$

or $$\frac{1}{11}$$

Sorry for the delayed response. Yes you are correct (Y)

for percentage questions usually if we let the value = 100 it's easy to solve ( easy calculations in about 90% cases)
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Joined: 23 Sep 2016
Posts: 216
Re: Diana received 45% of votes cast in a certain election. What fraction  [#permalink]

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26 Feb 2018, 23:46
Diana received 45% of votes cast in a certain election. What fraction of other votes cast would she have needed in order to receive 50% of votes cast?

A) 1/20
B) 1/15
C) 1/11
D) 1/5
D) 1/2

lets take total vote as 100
diana received 45% means 45
she need 50 so 5 more needed out of 55
=5/55= 1/11 answer is C
if you like my explanation please provide me KUDOS
Re: Diana received 45% of votes cast in a certain election. What fraction &nbs [#permalink] 26 Feb 2018, 23:46
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# Diana received 45% of votes cast in a certain election. What fraction

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