<PRE><B>Question 1149820</B>
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;There is much simpler way to solve the problem, &amp;nbsp;using &amp;nbsp;one &amp;nbsp;SINGLE &amp;nbsp;equation in one unknown
&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;INSTEAD &amp;nbsp;of system of &amp;nbsp;3 &amp;nbsp;equations in &amp;nbsp;3 &amp;nbsp;unknowns.



&lt;pre&gt;
Let x be the area for corn, in acres.

Then the area for wheat is 2x acres.

Hence, the area for soybeans is  (1080 - x - 2x) = 1080-3x acres.


Now it is easy  to write the &quot;money&quot; equation


    45*x + 60*(2x) + 50*(1080-3x) = 57300.


Simplify and solve for x


    45x + 120x + 50*1080 - 150x = 57300

    15x = 57300 - 50*1080  = 3300

       x                   = 3300/15 = 220.


&lt;U&gt;ANSWER&lt;/U&gt;.  220 acres for corn;  2*220 = 440 acres for wheat and the rest,  1080-220-440 = 420 acres for soybeans.
&lt;/pre&gt;

Solved and completed.


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The whole problem is designed, intended and expected to be solved exactly &amp;nbsp;&lt;U&gt;IN &amp;nbsp;THIS &amp;nbsp;WAY&lt;/U&gt;.


It was given to you &amp;nbsp;&lt;U&gt;WITH &amp;nbsp;THE &amp;nbsp;ONLY &amp;nbsp;GOAL&lt;/U&gt; : &amp;nbsp;&amp;nbsp;in order for you learned from my post how to solve it in the &amp;nbsp;&lt;U&gt;RIGHT &amp;nbsp;WAY&lt;/U&gt;.


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