document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249947>Question 249947</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( "Girls and boys. There are 385 surfers in Surf City. Twothirds<BR>\n" );
document.write( "of the boys are surfers and one-twelfth of the girls<BR>\n" );
document.write( "are surfers. If there are two girls for every boy, then how<BR>\n" );
document.write( "many boys and how many girls are there in Surf City?\r<BR>\n" );
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document.write( "Can someone please help me solve this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182040 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=182040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B = number of boys<BR>\n" );
document.write( "G = number of girls<BR>\n" );
document.write( "S = number of surfers = 385<BR>\n" );
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document.write( "2/3B + 1/12G = S = 385<BR>\n" );
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document.write( "There are 2 girls for each boy.  <BR>\n" );
document.write( "2B = G  .or.<BR>\n" );
document.write( "B = 1/2G<BR>\n" );
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document.write( "Substituting into the total equation...<BR>\n" );
document.write( "2/3B + 1/12G = 385<BR>\n" );
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document.write( "Multiplying through by 12 to remove the fractions...<BR>\n" );
document.write( "8B + G = 4620<BR>\n" );
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document.write( "Substituting for B with 1/2G<BR>\n" );
document.write( "8*1/2G + G = 4620<BR>\n" );
document.write( "4G + G = 4620<BR>\n" );
document.write( "5G = 4620<BR>\n" );
document.write( "G = 924<BR>\n" );
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document.write( "Since we know there are twice as many girls as boys,<BR>\n" );
document.write( "B = G/2 = 924/2 = 462<BR>\n" );
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document.write( "Now we can check to see if we substitute these value that we find there are 385 surfers...<BR>\n" );
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document.write( "2/3*B = 308<BR>\n" );
document.write( "1/12*G = 77<BR>\n" );
document.write( "Total=385 </SPAN>\n" );
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