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# In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B

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In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B  [#permalink]

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13 Jan 2019, 11:34
00:00

Difficulty:

15% (low)

Question Stats:

92% (00:42) correct 8% (00:36) wrong based on 33 sessions

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In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. Borak in the ratio of 4 : 3 : 2. If there were no other candidates and none of the 1,800 voters cast more than one vote, how many votes did Ms. Frau receive?

A. 200

B. 300

C. 400

D. 600

E. 900

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In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B  [#permalink]

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Updated on: 14 Jan 2019, 20:00
Frau’s vote share = 3 / (4+3+2) *1800
=> 3/9 *1800
=> 1800/3
=> 600
OptionD.

Thanks Abhishek009 for pointing out the mistake.

Posted from my mobile device
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Hope it helps,

Thanks,
Mofe Bhatia

Originally posted by MofeBhatia on 14 Jan 2019, 05:17.
Last edited by MofeBhatia on 14 Jan 2019, 20:00, edited 1 time in total.
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In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B  [#permalink]

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14 Jan 2019, 11:27
In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. Borak in the ratio of 4 : 3 : 2. If there were no other candidates and none of the 1,800 voters cast more than one vote, how many votes did Ms. Frau receive?

A. 200

B. 300

C. 400

D. 600

E. 900

$$D : F : B = 4 : 3 : 2$$

Thus F received , $$\frac{1800}{( 4 + 3 + 2)}*3 = 600$$ votes, Answer must be (D)

MofeBhatia wrote:
Frau’s vote share = 3 / (4+3+2) *1200
=> 3/9 *1200
=> 1200/3
=> 400
OptionC.

Posted from my mobile device

Please check the highlighted part, total votes casted is 1800 not 1200
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Thanks and Regards

Abhishek....

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Re: In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B  [#permalink]

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14 Jan 2019, 18:56
1
In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. Borak in the ratio of 4 : 3 : 2. If there were no other candidates and none of the 1,800 voters cast more than one vote, how many votes did Ms. Frau receive?

A. 200

B. 300

C. 400

D. 600

E. 900

We can create the ratio:

Mr. Dyer : Ms. Frau : Mr. Borak = 4x : 3x : 2x and create the equation:

1800 = 4x + 3x + 2x

1800 = 9x

200 = x

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Re: In a local election, votes were cast for Mr. Dyer, Ms. Frau, and Mr. B   [#permalink] 14 Jan 2019, 18:56
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