document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95147>Question 95147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten percent of the reds are added to twenty percent of the blues, and the total is 24.Yet the product of the nunber of reds and 3 exceeds the number of blues by 20.How many are red and how many are blue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69304 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of reds<BR>\n" );
document.write( "And y=number of blues<BR>\n" );
document.write( "Now we are told that:\r<BR>\n" );
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document.write( "0.10x+0.20y=24-----------------------------eq1\r<BR>\n" );
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document.write( "We are also told that:<BR>\n" );
document.write( "x*3=y+20 or\r<BR>\n" );
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document.write( "3x=y+20 subtract 20 from both sides<BR>\n" );
document.write( "y=3x-20  -----------------------------------eq2\r<BR>\n" );
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document.write( "substitute y=3x-20 from eq2 into eq1\r<BR>\n" );
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document.write( "0.10x+0.20(3x-20)=24  get rid of parens\r<BR>\n" );
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document.write( "0.10x+0.60x-4=24   add 4 to both sides\r<BR>\n" );
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document.write( "0.10x+0.60x-4+4=24+4  collect like terms\r<BR>\n" );
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document.write( "0.70x=28  divide both sides by 0.70<BR>\n" );
document.write( "x=40---------------------------------------number of reds\r<BR>\n" );
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document.write( "substitute x=40 into eq2:\r<BR>\n" );
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document.write( "y=3*40-20<BR>\n" );
document.write( "y=120-20=100-------------------------------number of blue\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "0.10*40+0.20*100=24<BR>\n" );
document.write( "4+20=24<BR>\n" );
document.write( "24=24<BR>\n" );
document.write( "also\r<BR>\n" );
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document.write( "3*40 exceeds 100 by 20\r<BR>\n" );
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document.write( "Hope this helps--ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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