Task# Dueling Candidates

Illustrative MathematicsVaries

The goal of this task is to have students examine some properties of ratios (and fractions) in an important real world context. Students will gain practice working with ratios while investigating some of the complexities of voting theory. This task can be made less open-ended by supplying, for example, the total number of students at the school or even the number of students in each class: the teacher may also wish to discuss the analysis in the first paragraph of the first solution if students are stuck. As written, it is intended to be an engaging, open-ended question and will require ample time.