document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831258>Question 831258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small(?) boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501218 by </B><A HREF=/tutors/aboutme.mpl?userid=jgr45><B>jgr45(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jgr45><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=jgr45><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What you need to do here is somehow isolate one of the variables.\r<BR>\n" );
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document.write( "3x + 14y = 203<BR>\n" );
document.write( "11x + 11y = 220\r<BR>\n" );
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document.write( "What I would do here is first of all divide the bottom equation by 11:<BR>\n" );
document.write( "x + y = 20\r<BR>\n" );
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document.write( "Now get one variable by itself.  Either one works; I'll choose y.<BR>\n" );
document.write( "y = 20 - x\r<BR>\n" );
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document.write( "Now substitute 20-x for y in either equation. I'll pick the first one.<BR>\n" );
document.write( "3x + 14(20-x) = 203<BR>\n" );
document.write( "3x + 280 - 14x = 203<BR>\n" );
document.write( "280 - 11x = 203<BR>\n" );
document.write( "280 = 203 + 11x<BR>\n" );
document.write( "77 = 11x<BR>\n" );
document.write( "x = 7\r<BR>\n" );
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document.write( "Which means y = 20-7 or 13.\r<BR>\n" );
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document.write( "So your prices are $7 for the small boxes and $13 for the large.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "3(7) + 14(13) =? 203 and 11(7) + 11(13) =? 220<BR>\n" );
document.write( "21 + 182 =? 203 and 77 + 143 =? 220<BR>\n" );
document.write( "203=203 and 220=220 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=check ALIGN=MIDDLE  ALT=\"check\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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