document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125601>Question 125601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many games did each team win? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92015 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=92015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many games did each team win?<BR>\n" );
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document.write( "Let \"x\" be the number of Duck wins:<BR>\n" );
document.write( "Then \"49-x\" is the number of Mole wins.<BR>\n" );
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document.write( "Let \"y\" be the number of games each team played.<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "x = (2/3)y<BR>\n" );
document.write( "49-x =(1/2)y<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3x = 2y<BR>\n" );
document.write( "98-2x = y<BR>\n" );
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document.write( "3x = 196-4x<BR>\n" );
document.write( "7x = 196<BR>\n" );
document.write( "x = 28 (# of Duck wins)<BR>\n" );
document.write( "49-x = 21 (# of Mole wins)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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