Difference between revisions of "1996 AJHSME Problems/Problem 9"

Revision as of 15:27, 1 August 2011

If 5 times a number is 2, then 100 times the reciprocal of the number is

$\text{(A)}\ 2.5 \qquad \text{(B)}\ 40 \qquad \text{(C)}\ 50 \qquad \text{(D)}\ 250 \qquad \text{(E)}\ 500$

If $5$ times a number is $2$ , then $5x = 2 \rightarrow x = \frac{2}{5}$ , and the number is $\frac{2}{5}$ .

If the number is $\frac{2}{5}$ , then $100$ times its reciprocal is $100$ times $\frac{5}{2}$ , which is $250$ , giving an answer of $\boxed{D}$ .

1996 AJHSME (Problems • Answer Key • Resources)
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