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If Kelly received 1/3 more votes than Mike in a student [#permalink]

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18 May 2011, 13:08

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If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

Re: From MitDavidDv: Problem Solving Question [#permalink]

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18 May 2011, 13:25

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MitDavidDv wrote:

If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates? A. 12 B. 13 C. 14 D. 15 E. 16

Question should say: 1/3 TIMES more votes.

K = M + 1/3M K = (4/3)M M+K=M+(4/3)M=Total Total = (7/3)M M=(3/7)Total

Total must be a multiple of 7 because Mary can't receive fractional numbers of votes.

If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates? A. 12 B. 13 C. 14 D. 15 E. 16

You can use ratios to solve it too. Kelly received 1/3 more votes than Mike which means that if Mike got 3 votes, Kelly got 4 votes (1/3 more than Mike). Since votes cannot be fractional, Mike must have got at least 3 votes and Kelly must have got at least 4 votes. They must have got at least 7 votes together. Actual number of votes could be any multiple of 7. The only multiple of 7 in the options is 14. For more on ratios, check: http://www.veritasprep.com/blog/2011/03 ... of-ratios/ _________________

Re: If Kelly received 1/3 more votes than Mike in a student [#permalink]

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09 Jan 2015, 12:13

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Re: If Kelly received 1/3 more votes than Mike in a student [#permalink]

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