MathDB
Middle School Mentoring Program

Source: 2015 AMC 8 Problem 16

November 25, 2015
AMC 82015 AMC 8

Problem Statement

In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13\tfrac{1}{3} of all the ninth graders are paired with 25\tfrac{2}{5} of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy?
<spanclass=′latex−bold′>(A)</span>215<spanclass=′latex−bold′>(B)</span>411<spanclass=′latex−bold′>(C)</span>1130<spanclass=′latex−bold′>(D)</span>38<spanclass=′latex−bold′>(E)</span>1115 <span class='latex-bold'>(A) </span> \frac{2}{15} \qquad <span class='latex-bold'>(B) </span> \frac{4}{11} \qquad <span class='latex-bold'>(C) </span> \frac{11}{30} \qquad <span class='latex-bold'>(D) </span> \frac{3}{8} \qquad <span class='latex-bold'>(E) </span> \frac{11}{15}
Back to ProblemsView on AoPS