document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008629>Question 1008629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer can sell 50 bushels of beans and 100 bushels of corn for $810, or he can sell 20 bushels of beans and 205 bushels of corn for $868.50. What is the selling price of beans and corn per bushel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624789 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the prices of bushels of beans and corn, b and c.  Then we have<BR>\n" );
document.write( "50b + 100c = 810 and<BR>\n" );
document.write( "20b + 205c = 868.5<BR>\n" );
document.write( "Multiply the top one by 2 and the bottom by five and subtract them and get<BR>\n" );
document.write( "100b + 200c = 1620<BR>\n" );
document.write( "-(100b + 1025c = 4342.5)<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "-825c = -2722.5<BR>\n" );
document.write( "c = $3.30 per bushel corn<BR>\n" );
document.write( "Substituting we get<BR>\n" );
document.write( "50b + 100(3.30) = 810<BR>\n" );
document.write( "50b + 330 = 810<BR>\n" );
document.write( "50b = 480<BR>\n" );
document.write( "b = $9.60 per bushel beans </SPAN>\n" );
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