document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106012>Question 1106012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> anita, cheri, miguel, and jake went bowling one night for fun they decided to pit the girls against the boys, with the highest score for each team winning. \r<BR>\n" );
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document.write( "anita scored 18 less than miguel, cheri's score was 16 less than twice anita's, cheri outscored jake by 21. \r<BR>\n" );
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document.write( "if the total score by all four kids was 529, what was the final scores of the match? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721548 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the scores be A, C, J, and M for Anita, Cheri, Jake, and Miguel, respectively.<br><BR>\n" );
document.write( "The information as given is<BR>\n" );
document.write( "(1) A = M-18<BR>\n" );
document.write( "(2) C = 2A-16<BR>\n" );
document.write( "(3) C = J+21<br><BR>\n" );
document.write( "Rearrange the given information to express all four scores in terms on just one of them.<br><BR>\n" );
document.write( "Equations (1) and (2) relate both C and M to A.  Equation (3) relates J to C, so then equations (3) and (2) together let us relate J to A.  So A should be the variable we use.  Then<BR>\n" );
document.write( "A = A<BR>\n" );
document.write( "M = A+18  [from (1)]<BR>\n" );
document.write( "C = 2A-16  [(2)]<BR>\n" );
document.write( "J = 2A-37  [from (2) and (3)]<br><BR>\n" );
document.write( "Then, since the sum of the scores was 529,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B%28A%2B18%29%2B%282A-16%29%2B%282A-37%29+=+529 ALIGN=MIDDLE  ALT=\"A%2B%28A%2B18%29%2B%282A-16%29%2B%282A-37%29+=+529\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A-35+=+529 ALIGN=MIDDLE  ALT=\"6A-35+=+529\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A+=+564 ALIGN=MIDDLE  ALT=\"6A+=+564\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+94 ALIGN=MIDDLE  ALT=\"A+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The individual scores were...<BR>\n" );
document.write( "Anita = A = 94<BR>\n" );
document.write( "Cheri = 2A-16 = 172<BR>\n" );
document.write( "Jake = 2A-37 = 151<BR>\n" );
document.write( "Miguel = A+18 = 112<br><BR>\n" );
document.write( "CHECK: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=94%2B172%2B151%2B112+=+529 ALIGN=MIDDLE  ALT=\"94%2B172%2B151%2B112+=+529\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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