Problema Solution

the junior class is electing class officers. You are running for president. You know that you have support of one-fourth of the 610 member class. If there is one other candidate for president, what is the least number of additional vote you mut get to be assured of a win?

Answer provided by our tutors

We will assume that the one that had more votes wins.


One-fourth of the 610 member class is: (1/4)610


Let x represent the additional vote you must get to win:


(1/4)*610 + x > 610/2

........


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........

x > 152.5


Since x needs to be integer follows that the least number of additional vote is 153 votes presuming all 610 members voted and all votes are valid.