document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87271>Question 87271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63202 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=63202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w=# of votes for winning candidate, L=# of votes for losing candidate \r<BR>\n" );
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document.write( "Since the total of votes cast was 810 (ie the sum of both candidates votes), we get the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2BL=810 ALIGN=MIDDLE  ALT=\"w%2BL=810\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the winning candidate had 220 more votes than the losing candidate, this means that we simply add 220 to L to find w like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=220%2BL ALIGN=MIDDLE  ALT=\"w=220%2BL\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For instance, lets say the losing candidate had 2 votes, then the winning candidate would have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2B2=222 ALIGN=MIDDLE  ALT=\"220%2B2=222\"   DISABLED_style= \"max-width:90%; height:auto;\" > votes\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=220%2BL ALIGN=MIDDLE  ALT=\"w=220%2BL\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can replace the w of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2BL=810 ALIGN=MIDDLE  ALT=\"w%2BL=810\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28220%2BL%29%2BL=810 ALIGN=MIDDLE  ALT=\"highlight%28220%2BL%29%2BL=810\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=220%2BL ALIGN=MIDDLE  ALT=\"w=220%2BL\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2B2L=810 ALIGN=MIDDLE  ALT=\"220%2B2L=810\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28220-220%29%2B2L=810-220 ALIGN=MIDDLE  ALT=\"cross%28220-220%29%2B2L=810-220\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 220 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L=590 ALIGN=MIDDLE  ALT=\"2L=590\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=590%2F2 ALIGN=MIDDLE  ALT=\"L=590%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2\r<BR>\n" );
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document.write( "So we get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=295 ALIGN=MIDDLE  ALT=\"L=295\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means the losing candidate had 295 votes. To find out how many the winning candidate received, lets plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=295 ALIGN=MIDDLE  ALT=\"L=295\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the other equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bhighlight%28295%29=810 ALIGN=MIDDLE  ALT=\"w%2Bhighlight%28295%29=810\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=295 ALIGN=MIDDLE  ALT=\"L=295\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Bcross%28295-295%29=810-295 ALIGN=MIDDLE  ALT=\"w%2Bcross%28295-295%29=810-295\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 295 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=515 ALIGN=MIDDLE  ALT=\"w=515\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the winning candidate received 515 votes and the losing received had 295 votes.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=515%2B295=810 ALIGN=MIDDLE  ALT=\"515%2B295=810\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=515 ALIGN=MIDDLE  ALT=\"w=515\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=295 ALIGN=MIDDLE  ALT=\"L=295\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=810=810 ALIGN=MIDDLE  ALT=\"810=810\"   DISABLED_style= \"max-width:90%; height:auto;\" > works </SPAN>\n" );
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