<PRE><B>Question 1153591</B>
&lt;br&gt;
You have q quarters and d dimes; the total value in cents is 25(q)+10(d) = 275.&lt;br&gt;
Your sister has 2q quarters and 3d dimes; the total value is 25(2q)+10(3d) = 600.&lt;br&gt;
{{{25q+10d = 275}}}
{{{50q+30d = 600}}}&lt;br&gt;
Multiply the first equation by 2 (i.e., double what you have):&lt;br&gt;
{{{50q+20d = 550}}}&lt;br&gt;
Subtract this equation from your sister&#39;s equation (i.e., compare what you now have to what your sister has):&lt;br&gt;
{{{10d = 50}}}
{{{d = 5}}}&lt;br&gt;
Substitute d=5 in the equation for what you have to solve for q (i.e., knowing that your total is 275 cents and that the number of dimes you have is 5, determine the number of quarters you have):&lt;br&gt;
{{{25q+10(5) = 275}}}
{{{25q = 225}}}
{{{q = 225/25 = 9}}}&lt;br&gt;
The number of quarters you have is 9.&lt;br&gt;
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I have done as much as I can with the information you gave.&lt;br&gt;
But I don&#39;t know what &quot;the answer&quot; is, because you didn&#39;t ask a question....&lt;br&gt;
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