1995 AMC 8 Problem 7

Below is the professionally curated solution for Problem 7 of the 1995 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 8 solutions, or check the answer key.

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Concepts:fraction

Difficulty rating: 730

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?

$\dfrac{1}{16}$

$\dfrac{3}{20}$

$\dfrac13$

$\dfrac{17}{20}$

$\dfrac{9}{10}$

Solution:

The students who ride make up

$\dfrac12 + \dfrac14 + \dfrac{1}{10} = \dfrac{10}{20} + \dfrac{5}{20} + \dfrac{2}{20} = \dfrac{17}{20}.$

So the fraction who walk is $1 - \dfrac{17}{20} = \dfrac{3}{20}.$

Thus, the correct answer is B .

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