document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246051>Question 246051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Marcia has 65 game pieces with a total value of 89 points. Each game piece is worth one or two points. How many two-point game pieces does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179715 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=179715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of game pieces with 1 point.<BR>\n" );
document.write( "y = number of game pieces with 2 points.\r<BR>\n" );
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document.write( "x + y = 65<BR>\n" );
document.write( "1x + 2y = 89\r<BR>\n" );
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document.write( "use first equation so solve for y to get y = 65-x\r<BR>\n" );
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document.write( "substitute for y in second equation to get 1x + 2*(65-x) = 89\r<BR>\n" );
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document.write( "simplify to get 1x + 130 - 2x = 89\r<BR>\n" );
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document.write( "subtract 130 from both sides of equation to get 1x - 2x = 89 - 130\r<BR>\n" );
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document.write( "combine like terms to get -x = -41\r<BR>\n" );
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document.write( "multiply both sides of equation by -1 to get x = 41\r<BR>\n" );
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document.write( "if x = 41, then y = 24 because x + y = 65, and 41 + 24 = 65\r<BR>\n" );
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document.write( "as for the points:\r<BR>\n" );
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document.write( "41 * 1 = 41<BR>\n" );
document.write( "24 * 2 = 48\r<BR>\n" );
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document.write( "41 + 48 = 89 so the point totals match up.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "she has 24 game pieces worth 2 points each.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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