document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009760>Question 1009760</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Mrs. Bond bought three cans of corn and five cans of tomatoes for $1.82. The following week, she bought two cans of corn and three cans of tomatoes for $1.11, paying the same prices. Find the cost of  Koren and the cost of a can of tomatoes.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625236 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=625236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the prices of corn and tomatoes, c and t.  Then we have<BR>\n" );
document.write( "3c + 5t = 182   (use cents)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2c + 3t = 111<BR>\n" );
document.write( "Multiply the top by two and the bottom by three and subtract them, giving us<BR>\n" );
document.write( "6c + 10t = 364<BR>\n" );
document.write( "-(6c + 9t = 333)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "t = 31 cents for tomatoes<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "2c + 3(31) = 111<BR>\n" );
document.write( "2c + 93 = 111<BR>\n" );
document.write( "2c = 18<BR>\n" );
document.write( "c = 9 cents for corn </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );