1985 AMC 8 Problem 16

Below is the professionally curated solution for Problem 16 of the 1985 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1985 AMC 8 solutions, or check the answer key.

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Concepts:ratio and proportion

Difficulty rating: 730

16.

The ratio of boys to girls in Mr. Brown's math class is $2 : 3.$ If there are $30$ students in the class, how many more girls than boys are in the class?

$1$

$3$

$5$

$6$

$10$

Solution:

The $30$ students split into $5$ equal parts of $6.$ Boys make up $2$ parts ( $12$ ) and girls $3$ parts ( $18$ ).

So there are $18 - 12 = 6$ more girls than boys.

Thus, the correct answer is D .

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