document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014331>Question 1014331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The areas of two similar rectangles add up to 39 square units. Twice the area of Rectangle A plus one-third the area of Rectangle B equals 33 square units. What are the areas of Rectangles A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630719 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a be the area of rectangle A.<BR>\n" );
document.write( "let b be the area of rectangle B.\r<BR>\n" );
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document.write( "a + b = 39<BR>\n" );
document.write( "2a + b/3 = 33\r<BR>\n" );
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document.write( "multiply the second equation by 3 and keep the first equation the same to get:\r<BR>\n" );
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document.write( "a + b = 39<BR>\n" );
document.write( "6a + b = 99\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "-5a = -60\r<BR>\n" );
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document.write( "divide both sides of this equation by -5 to get:\r<BR>\n" );
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document.write( "a = 12\r<BR>\n" );
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document.write( "since a + b = 33, then b must be equal to 27\r<BR>\n" );
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document.write( "area of rectangle A is equal to 12.<BR>\n" );
document.write( "area of rectangle B is equal to 27.\r<BR>\n" );
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document.write( "a + b = 12 + 27 = 39<BR>\n" );
document.write( "this checks out ok.\r<BR>\n" );
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document.write( "2a + b/3 = 2*12 + 27/3 = 24 + 9 = 33<BR>\n" );
document.write( "this checks out ok as well.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "area of rectangle A is equal to 12 square units.<BR>\n" );
document.write( "area of rectangle B is equal to 27 square units.<BR>\n" );
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