document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404979>Question 404979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I could really use some help with this:\r<BR>\n" );
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document.write( "\"The sum of the numerator and  denominator of a fraction is 40. If 3 is added to the numerator, and 2 added to the denominator, the new fraction is equal to 4/5. \r<BR>\n" );
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document.write( "What is the original fraction? \" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286172 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=286172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the numerator and denominator of a fraction is 40. If 3 is added to the numerator, and 2 added to the denominator, the new fraction is equal to 4/5. <BR>\n" );
document.write( "What is the original fraction? \"<BR>\n" );
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document.write( "Let the original fraction be x/y.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x + y = 40<BR>\n" );
document.write( "(x+3)/(y+2) = 4/5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Modify the 2nd equation as follows:<BR>\n" );
document.write( "5(x+3) = 4(y+2)<BR>\n" );
document.write( "5x+15 = 4y+8<BR>\n" );
document.write( "5x-4y = -7<BR>\n" );
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document.write( "Now, solve the system:<BR>\n" );
document.write( "x+y = 40<BR>\n" );
document.write( "5x-4y = -7<BR>\n" );
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document.write( "Multiply the 1st equation by 5:<BR>\n" );
document.write( "5x + 5y = 5*40<BR>\n" );
document.write( "5x-4y = -7<BR>\n" );
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document.write( "Subtract the bottom eq. from the top and solve for \"y\":<BR>\n" );
document.write( "9y = 207<BR>\n" );
document.write( "y = 23<BR>\n" );
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document.write( "Solve for \"x\":<BR>\n" );
document.write( "x + y = 40<BR>\n" );
document.write( "x + 23 = 40<BR>\n" );
document.write( "x = 17<BR>\n" );
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document.write( "Original Fraction: 17/23<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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