document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236176>Question 236176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of two equations in two unknowns for each<BR>\n" );
document.write( "problem. Solve each system by the method of your choice.\r<BR>\n" );
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document.write( "One-half of the boys and one-third of the<BR>\n" );
document.write( "girls of Freemont High attended the homecoming game,<BR>\n" );
document.write( "whereas one-third of the boys and one-half of the<BR>\n" );
document.write( "girls attended the homecoming dance. If there were<BR>\n" );
document.write( "570 students at the game and 580 at the dance, then how<BR>\n" );
document.write( "many students are there at Freemont High?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173909 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=173909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X/2+Y/3=570 MULTIPLY BY 2<BR>\n" );
document.write( "X/3+Y/2=580 MULTIPLY BY -3 & ADD<BR>\n" );
document.write( "X+2Y/3=1140<BR>\n" );
document.write( "-X-3Y/2=-1,740<BR>\n" );
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document.write( "2Y/3-3Y/2=-600<BR>\n" );
document.write( "(2*2Y-3Y*3)/2*3=-600<BR>\n" );
document.write( "(4Y-9Y)/6=-600<BR>\n" );
document.write( "-5Y=-600*5<BR>\n" );
document.write( "-5=-3,600<BR>\n" );
document.write( "Y=-3,600/-5<BR>\n" );
document.write( "Y=720 ANS. NUMBER OF GIRLS.<BR>\n" );
document.write( "X/2+720/3=570<BR>\n" );
document.write( "X/2+240=570<BR>\n" );
document.write( "X/2=570-240<BR>\n" );
document.write( "X/2=330<BR>\n" );
document.write( "X=330*2<BR>\n" );
document.write( "X=660 ANS. NUMBER OF BOYS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "660/3+720/2=580<BR>\n" );
document.write( "220+360=580<BR>\n" );
document.write( "580=580<BR>\n" );
document.write( "BOYS = GIRLS<BR>\n" );
document.write( "660+720=1,380 TOTAL NUMBER OF STUDENTS.<BR>\n" );
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