If Kelly received 1/3 more votes than Mike in a student

Question

If Kelly received 1/3 times 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

KarishmaB · Accepted Answer

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.

fluke · Answer

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.

Only option that is a multiple of 7 is 14.

Ans: "C"

Spidy001 · Answer

K = (4/3)M

=> M+K = (7/3)*M

=> M = (3/7)*(M+K)

M+K has to be a multiple of 7.

Only possible option here is 14.

Answer is C.

amit2k9 · Answer

7/3 * M = total votes

means total votes/7 = integer.

14 fits

Ousmane · Answer

It's not clear to whether 1/3 has to be applied to the votes cast to Mike or to the total votes
Please help

KarishmaB · Answer

The question clearly says "Kelly received 1/3 more votes than Mike"
The comparison of 1/3rd more is with Mike.

So for every 3 votes, Kelly received 1 extra vote i.e. she received 4 votes.

watwazdaquestion · Answer

K = 4/3 M
we know M has to be a multiple of 3 in order to get an integer for K + M

plug in a couple values for M:

M = 3 => K = 3 + 1 = 4
M + K = 7 (not in choices)

M = 6 => K = 6 + 2 = 8
M + K = 14 (answer C)

PareshGmat · Answer

Let votes to Mike = x

Then votes to Kelly  = x + \frac{x}{3}

Total votes  = 2x + \frac{x}{3} = \frac{7x}{3}

x = (Total Votes) * \frac{3}{7}

Total votes should be divisible by 7, only 14 fits in

Answer = C

ScottTargetTestPrep · Answer

If we let k = the number of votes Mike received, then (4/3)k = the number of votes Kelly received. Thus, they received a total of k + 4k/3 = 3k/3 + 4k/3 = 7k/3 votes.

Since 7k/3 has to be an integer, k can be any multiple of 3.

When k is 3, the total number of votes is 7(3)/3 = 7.

When k is 6, the total number of votes is 7(6)/3 = 14.

Answer: C

praveenmittal95605 · Answer

Let votes to Mike = x
Total votes =2x+x/3=7x/3= hence answer should be multiple of 7 thats 14 - option C
Answer = C
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spetznaz · Answer

Let the number of votes for Mike and Kelly be M and K respectively. As per the statement K=(4/3)*M. K/M=4/3. The sum has to be a multiple of 7. The total number of votes need to be a multiple of 7. Only 14 or option C fits the bill.

Option C it is !!

Option C it is !!

shashankism · Answer

Let the vote received by Mike be M.
Vote Received by Kelly is 1/3 more than the votes of Mike = (1/3)M +M = (4/3)M
Ratio of votes of Kelly to Mike = 4/3

Since votes should be a natural number. So it must be a multiple of 4+3 = 7. Only Option C i.e. 14 is a multiple of 7.

Answer C

abhishekdadarwal2009 · Answer

If Kelly received 1/3 times 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

let mike got x votes, then Kelly got (x+1/3x) votes

thus total votes=x+(x+1/3x)=(7/3)x.

so x=(3*total votes)/7. since the votes have to be integer then we have to pick a nunber which is divisible by 7 to make x as an integer.

only option c is divisivle by 7 and thus x=6 and Kelly got 8 votes.=14

C is correct.

Abhishek009 · Answer

Let no of votes Mike got be 3 , So Kelly received 4 votes

Consideriing Total No of votes polled = Total No of Students = 7

Thus, Total no of students must be a multiple of 7 , among the given options only (C) 14 fits, hence thats the correct Answer!!!

ScottTargetTestPrep · Answer

We can let K = the number of votes received by Kelly, M = the number of votes received by Mike and T = the total number of votes received by the two candidates. We can create the equation:

K = 4M/3

and

T = K + M

Thus, T = K + M = 4M/3 + M = 4M/3 = 3M/3 = 7M/3.

We see that T must be a multiple of 7. So 14 is the only possible answer among the given choices for the total number of votes cast.

Answer: C

bumpbot · Answer

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