1995 AJHSME Problems/Problem 7

Problem

At Clover View Junior High, one half of the students go home on the school bus. One fourth go home by automobile. One tenth go home on their bicycles. The rest walk home. What fractional part of the students walk home?

$\text{(A)}\ \dfrac{1}{16} \qquad \text{(B)}\ \dfrac{3}{20} \qquad \text{(C)}\ \dfrac{1}{3} \qquad \text{(D)}\ \dfrac{17}{20} \qquad \text{(E)}\ \dfrac{9}{10}$

Solution

The students who walk home are

$1 - \frac{1}{2} - \frac{1}{4} - \frac{1}{10}$

$\frac{1}{2} - \frac{1}{4} - \frac{1}{10}$

$\frac{1}{4} - \frac{1}{10}$

$\frac{5}{20} - \frac{2}{20}$

$\frac{3}{20}$ of the entire student population. Therefore, the answer is $\boxed{B}$ .

1995 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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1995 AJHSME Problems/Problem 7

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