Difference between revisions of "2006 AMC 12A Problems/Problem 3"

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== Solution ==
 
== Solution ==
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Let <math>m</math> be Mary's age.  Then <math>\frac{m}{30}=\frac{3}{5}</math>.  Solving for <math>m</math>, we obtain <math>m=18</math>.  The answer is B.
  
 
== See also ==
 
== See also ==
 
* [[2006 AMC 12A Problems]]
 
* [[2006 AMC 12A Problems]]

Revision as of 22:06, 11 July 2006

Problem

The ratio of Mary's age to Alice's age is $3:5$. Alice is $30$ years old. How old is Mary?

$\mathrm{(A) \ } 15\qquad \mathrm{(B) \ } 18\qquad \mathrm{(C) \ } 20\qquad \mathrm{(D) \ } 24$

$\mathrm{(E) \ }  50$

Solution

Let $m$ be Mary's age. Then $\frac{m}{30}=\frac{3}{5}$. Solving for $m$, we obtain $m=18$. The answer is B.

See also