What was Milton's share of votes?

Question

A candidate's share of the votes varies directly as the number of votes cast for the candidate. In a city council election with four candidates, Lance received 1026 votes and 38% share of the votes. Milton received 1215 votes. What was Milton's corresponding share of the votes?

Answer 1

Since a candidates share of votes varies directly as the number of votes for the candidate, we can set up a direct variation equation. 
Let y =  % share of votes
Let x = number of votes
Since the equation for direct variation is y=kx, first we need to solve for k using the information for Lance. If y=kx, then k=y/x. So k=38/1026 = 1/27. 
Since we know y=kx and k=1/27, the equation relating share of votes to number of votes is y=(1/27)*x for all candidates. So to find Milton's share we substitute in 1215 for x, and we get y=(1/27)*1215 = 45
Thus, Milton's corresponding share of the votes is 45%. Hope this helped!