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1989 AJHSME Problems/Problem 9

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Problem

There are 2 boys for every 3 girls in Ms. Johnson's math class. If there are 30 students in her class, what percent of them are boys?

\text{(A)}\ 12\% \qquad \text{(B)}\ 20\% \qquad \text{(C)}\ 40\% \qquad \text{(D)}\ 60\% \qquad \text{(E)}\ 66\frac{2}{3}\%

Solution

Besides ensuring the situation is possible, the 30 students information is irrelevant.

From the first statement, we can deduce that 2 of every 2+3=5 students are boys. Thus, 2/5=40\% \rightarrow \boxed{\text{C}} of the students are boys.

See Also

1989 AJHSME (ProblemsResources)
Preceded by
Problem 8
Followed by
Problem 10
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Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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