Three candidates are running for the office of Grand Satrapy of Vorania. The third- and second-place candidates received 28 and 98 votes, respectively. There were no ties. If the winner received x% of the total votes, what is the smallest possible value of x?

Guest Jun 18, 2017

#1**0 **

If only three persons are running for the office and the third place candidate received 28 votes and the second place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be: 28 + 98 + 99 = 225 votes.

The percentage for the winning candidate would be: 99 / 225 = 44%

Therefore, the smallest possible value of x is 44%.

geno3141
Jun 18, 2017

#1**0 **

Best Answer

If only three persons are running for the office and the third place candidate received 28 votes and the second place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be: 28 + 98 + 99 = 225 votes.

The percentage for the winning candidate would be: 99 / 225 = 44%

Therefore, the smallest possible value of x is 44%.

geno3141
Jun 18, 2017