document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066544>Question 1066544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,can someone help me on a word problem ? Mark won 14 less than twice as many games as John. John won 2 fewer games than mark. How many games did Mark win? Thank you in advance !!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681732 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=681732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let m equal the number of games that mark won.<BR>\n" );
document.write( "let j equal the number of games that john won.\r<BR>\n" );
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document.write( "mark won 14 less than twice as many games as john won.\r<BR>\n" );
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document.write( "m = 2j - 14\r<BR>\n" );
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document.write( "john won 2 fewer games than mark.\r<BR>\n" );
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document.write( "j = m - 2\r<BR>\n" );
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document.write( "you have two equations that need to be solved simultaneously.<BR>\n" );
document.write( "this means the same solution applies to both equations.\r<BR>\n" );
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document.write( "the equations are:]\r<BR>\n" );
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document.write( "m = 2j - 14<BR>\n" );
document.write( "j = m - 2\r<BR>\n" );
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document.write( "you can solve this easily by substitution.\r<BR>\n" );
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document.write( "since j = m - 2 in the second equation, replace j with m - 2 in the first equation to get:\r<BR>\n" );
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document.write( "m = 2 * (m - 2) - 14\r<BR>\n" );
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document.write( "simplify to get m = 2m - 4 - 14\r<BR>\n" );
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document.write( "simplify further to get m = 2m - 18\r<BR>\n" );
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document.write( "subtract m from both sides of the equation and add 18 to both sides of the equation to get:\r<BR>\n" );
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document.write( "18 = 2m - m\r<BR>\n" );
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document.write( "solve for m to get m = 18.\r<BR>\n" );
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document.write( "since j = m - 2, then j must be equal to 16.\r<BR>\n" );
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document.write( "go back to your original statements and see if they hold true.\r<BR>\n" );
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document.write( "first statement says that mark won 14 less than twice as many games as john.   \r<BR>\n" );
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document.write( "john won 16 so twice as many is 32 minus 14 = 18.\r<BR>\n" );
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document.write( "16 is 2 less than 18.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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