<PRE><B>Question 699501</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;I am a graduate of the University of Central Florida!&lt;br&gt;

In this problem, we need to do a bit of investigation.&lt;br&gt;

We have three quantities for the different voters:&lt;br&gt;

3/5, 3/10, and 81&lt;br&gt;

Let&#39;s add up the first two groups and see what we get:&lt;br&gt;

{{{3/5+3/10=6/10+3/10=9/10}}}&lt;br&gt;

So 9/10 of all the student votes are taken up by the first group.&lt;br&gt;

Then what percentage of all students is left over for Nicole&#39;s group?&lt;br&gt;

{{{1-9/10=1/10}}}&lt;br&gt;

Now we&#39;re getting somewhere.&lt;br&gt;

We just need to equate this 1/10 figure to the 81 students.&lt;br&gt;

So let&#39;s use x as the TOTAL number of student voters:&lt;br&gt;

{{{(1/10)*x=81}}}&lt;br&gt;

{{{x=81*10}}}&lt;br&gt;

{{{x=810}}}&lt;br&gt;

So the total number of student voters should be 810.&lt;br&gt;

Let&#39;s check this:&lt;br&gt;

{{{(3/5)*810=486}}}&lt;br&gt;

{{{(3/10)*810=243}}}&lt;br&gt;

and then our final group of 81.  Then:&lt;br&gt;

{{{486+243+81=810}}}&lt;br&gt;

This is indeed true, so our final answer is 810 Seniors.&lt;br&gt;

I hope this helps!  Keep practicing!  :)&lt;br&gt;

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