1985 AJHSME Problems/Problem 16

Problem

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?

$\text{(A)}\ 1 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 6 \qquad \text{(E)}\ 10$

Solution

Let the number of boys be $2x$ , it follows that the number of girls is $3x$ . These two values add up to $30$ students, so $2x+3x=5x=30\Rightarrow x=6$

The difference between the number of girls and the number of boys is $3x-2x=x$ , which is $6$ , so $\boxed{\text{D}}$

1985 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 15	Followed by Problem 17
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
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1985 AJHSME Problems/Problem 16

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