document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581662>Question 581662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of 60 people attend a ball game. There were twice as many children as adults in the group. Write a system of equations that you could use to set up this problem, where \"a\" is the number of adults and \"c\" is the number of children in the group. Solve the system of equations for \"c\", the number of children in the group. <BR>\n" );
document.write( "Show the work step by step and explain how you did it.<BR>\n" );
document.write( "HELP ME PLEASEEE! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371761 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=371761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = number of adults, and c = number of children\r<BR>\n" );
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document.write( "\"A group of 60 people attend a ball game\" means that a + c = 60.\r<BR>\n" );
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document.write( "\"There were twice as many children as adults in the group\" means that c = 2a\r<BR>\n" );
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document.write( "So the system of equations is \r<BR>\n" );
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document.write( "a + c = 60<BR>\n" );
document.write( "c = 2a\r<BR>\n" );
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document.write( "Now let's solve for c\r<BR>\n" );
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document.write( "a + c = 60\r<BR>\n" );
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document.write( "a + 2a = 60\r<BR>\n" );
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document.write( "3a = 60\r<BR>\n" );
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document.write( "a = 60/3\r<BR>\n" );
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document.write( "a = 20\r<BR>\n" );
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document.write( "So there are 20 adults\r<BR>\n" );
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document.write( "c = 2a\r<BR>\n" );
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document.write( "c = 2(20)\r<BR>\n" );
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document.write( "c = 40\r<BR>\n" );
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document.write( "and there are <font color=\"red\">40</font> children\r<BR>\n" );
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document.write( "Note: add up the two counts to get 40+20 = 60, so this checks the first condition (that there are 60 people). Also, notice how 40 kids is exactly double 20 adults.<BR>\n" );
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