<PRE><B>Question 183765</B>
Let {{{x}}}= the acres of corn he should plant
Then {{{500 - x}}} = acres of wheat he will plant
The cost of cultivating {{{x}}} acres of corn is
{{{42x}}}
Yhe cost of cultivating {{{500 - x}}} acres of wheat is
{{{30*(500 - x)}}}
------------------
If he uses the whole budget and all the land, his cost is
{{{42x + 30*(500 - x) = 18600}}}
{{{42x + 15000 - 30x = 18600}}}
{{{12x = 3600}}}
{{{x = 300}}}
{{{500 - x = 200}}}
300 acres should be planted in corn, and
200 acres should be planted in wheat
 </PRE>