document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296>Question 296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a series of spring training games, the Yankees scored 35 runs. The Dodgers and Tigers, respectivly, tallied half and a third as many as the Reds. The Reds' scores were as much below the Yankees' as the Dodgers' were the Tigers'. How many runs did each team score  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137 by </B><A HREF=/tutors/aboutme.mpl?userid=arden42><B>arden42(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=arden42><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=137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we'll put down what we already know:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+35 ALIGN=MIDDLE  ALT=\"Y+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+R%2F2 ALIGN=MIDDLE  ALT=\"D+=+R%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+R%2F3 ALIGN=MIDDLE  ALT=\"T+=+R%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+-+R+=+T+-+D ALIGN=MIDDLE  ALT=\"Y+-+R+=+T+-+D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we know Y already, and we can express both D and T in terms of R, lets rewrite the final equation above as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35+-+R+=+R%2F3+-+R%2F2 ALIGN=MIDDLE  ALT=\"35+-+R+=+R%2F3+-+R%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have an equation completely in terms of R, so we can work out R. Multiplying by 6 to eliminate fractions (makes it nicer to work with) gives us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+-+6R+=+2R+-+3R ALIGN=MIDDLE  ALT=\"210+-+6R+=+2R+-+3R\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rearranging to get all the R's on one side makes it:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+=+5R ALIGN=MIDDLE  ALT=\"210+=+5R\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 5:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+42 ALIGN=MIDDLE  ALT=\"R+=+42\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since D = R/2, and R = 42:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+21 ALIGN=MIDDLE  ALT=\"D+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since T = R/3, and R = 42:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+14 ALIGN=MIDDLE  ALT=\"T+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the final results are:\r<BR>\n" );
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document.write( "The Reds scored 42, the Yankees scored 35, the Dodgers scored 21 and the Tigers scored 14. </SPAN>\n" );
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