The Election
Source: AMC 8 2017 #2
November 22, 2017
AMC 8
Problem Statement
Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?[asy]
draw((-1,0)--(0,0)--(0,1));
draw((0,0)--(0.309, -0.951));
filldraw(arc((0,0), (0,1), (-1,0))--(0,0)--cycle, lightgray);
filldraw(arc((0,0), (0.309, -0.951), (0,1))--(0,0)--cycle, gray);
draw(arc((0,0), (-1,0), (0.309, -0.951)));
label("Colby", (-0.5, 0.5));
label("25\%", (-0.5, 0.3));
label("Alicia", (0.7, 0.2));
label("45\%", (0.7, 0));
label("Brenda", (-0.5, -0.4));
label("30\%", (-0.5, -0.6));[/asy]