document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185253>Question 185253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four oranges and five apples cost $2.00. Three oranges and four apples cost $1.56. Find the cost of an orange and the cost of an apple. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138955 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four oranges and five apples cost $2.00. Three oranges and four apples cost $1.56. Find the cost of an orange and the cost of an apple.<BR>\n" );
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document.write( "4r + 5a = 200 cents<BR>\n" );
document.write( "3r + 4a = 156 cents<BR>\n" );
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document.write( "Modify to prepare for elimination:<BR>\n" );
document.write( "12r + 15a = 600<BR>\n" );
document.write( "12r + 16a = 624<BR>\n" );
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document.write( "Subtract 1st from 2nd to solve for \"a\":<BR>\n" );
document.write( "a = 24 cents (price of an apple)<BR>\n" );
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document.write( "Substitute to solve for \"r\":<BR>\n" );
document.write( "4r + 5*24 = 200<BR>\n" );
document.write( "4r + 120 = 200<BR>\n" );
document.write( "4r = 80<BR>\n" );
document.write( "r = 20 cents (price of an orange)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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