document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50667>Question 50667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 130.  One number is 46 times more than 1/2 the other number.  What are the numbers?\r<BR>\n" );
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document.write( "Boy do I hate word problems. I can never seem to make sense out of them.<BR>\n" );
document.write( "Matt </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33739 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = first number<BR>\n" );
document.write( "and y = second number\r<BR>\n" );
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document.write( "Now, you need to write two equations since there are two unknowns.\r<BR>\n" );
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document.write( "The sum of two numbers is 130.  <BR>\n" );
document.write( "x+y = 130\r<BR>\n" );
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document.write( "One number is 46 times more than 1/2 the other number.<BR>\n" );
document.write( "x= 1/2*y+46\r<BR>\n" );
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document.write( "If you don't like this equation because of the fraction, just multiply both sides by 2:<BR>\n" );
document.write( "2x = y + 92  or 2x-y = 92\r<BR>\n" );
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document.write( "There, now it's not a word problem any more.  It's solving two equations with two unknowns!!\r<BR>\n" );
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document.write( "x+ y = 130<BR>\n" );
document.write( "2x -y = 92\r<BR>\n" );
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document.write( "Just add the two equations together:<BR>\n" );
document.write( "3x= 222<BR>\n" );
document.write( "x=74\r<BR>\n" );
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document.write( "Now, x + y = 130<BR>\n" );
document.write( "so, 74 + y = 130<BR>\n" );
document.write( "y=56\r<BR>\n" );
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document.write( "Check in the second equation:<BR>\n" );
document.write( "x=1/2*y +46<BR>\n" );
document.write( "74=1/2*56 + 46<BR>\n" );
document.write( "74=28 + 46<BR>\n" );
document.write( "It checks!!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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