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MAA AMC
AMC 8
2015 AMC 8
16
16
Part of
2015 AMC 8
Problems
(1)
Middle School Mentoring Program
Source: 2015 AMC 8 Problem 16
11/25/2015
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
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3
\tfrac{1}{3}
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1
of all the ninth graders are paired with
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5
\tfrac{2}{5}
5
2
of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy?
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30
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<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}
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2
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15
11
AMC 8
2015 AMC 8