<PRE><B>Question 1118379</B>
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It would be a good idea for you to look at what you have written before you send your question to us.  $1.20 a day for heavy equipment operators?  I don&#39;t think anybody would take that job.&lt;br&gt;
So the real rate is clearly supposed to be $120 per day.  Then we have
x heavy equipment operators at $120 per day and y general laborers at $91 per day, making 31 workers with a total pay of $3339 per day.  Then&lt;br&gt;
{{{x+y = 31}}}
{{{120x+91y = 3339}}}&lt;br&gt;
Unfortunately, when we try to solve that system of equations, we don&#39;t get answers that are whole numbers.  So even after correcting your $1.20 per day to $120 per day, there is a flaw in your statement of the problem.&lt;br&gt;
When I first read the problem, it occurred to me that we could solve the problem with logical analysis using only the total pay, without knowing the total number of workers.&lt;br&gt;
Looking at the equation for total pay, we can see that the total pay for the heavy equipment operators will be a multiple of $10.  Since the total pay is $3339 and the daily pay for the general laborers is $91, the number of general laborers must be a number ending in 9.&lt;br&gt;
Then we could try 9, 19, 29,... as the number of general laborers and see which gives us a whole number for the number of heavy equipment operators.&lt;br&gt;
But we can be even a little smarter than that.  The total pay, $3339, is a multiple of 3, and the daily pay for the heavy equipment operators is a multiple of 3.  Since the $91 daily pay for the general laborers is NOT a multiple of 3, the number of general laborers MUST be a multiple of 3.&lt;br&gt;
That means the number of general laborers is either 9, or 39, or 69, or....  With the total pay being $3339, the only number that works is 9.&lt;br&gt;
That gives us 9($91) = $819 for the total pay for the general laborers, leaving $3339-$819 = $2520 as the total pay for the heavy equipment operators.  At $120 per day, the number of heavy equipment operators is then $2520/$120 = 21.&lt;br&gt;
So the total number of workers is 9+21 = 30 -- NOT 31, as you say in your statement of the problem.</PRE>