document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189190>Question 1189190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "15 girls and a number of boys collected an average of 28 stamps. The girls collected an average of 20 stamps. If each boy collected an average of 14 more stamps than each girl how many children were there.\r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820483 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 15 girls and x boys.<BR>\n" );
document.write( "total of girls and boys = 15 + x.<BR>\n" );
document.write( "x is the number of boys.\r<BR>\n" );
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document.write( "the girls average 20 stamps each.<BR>\n" );
document.write( "the boys averaged 14 more each for a total of 34 each.\r<BR>\n" );
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document.write( "the average of the boys and the girls together is 28.\r<BR>\n" );
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document.write( "the equation you need to solve is:\r<BR>\n" );
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document.write( "20 * 15 + 34 * x = 28 * (15 + x)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "300 + 34 * x = 420 + 28 * x<BR>\n" );
document.write( "subtract 28 * x from both sides of the equation and subtract 300 from both sides of the equation to get:<BR>\n" );
document.write( "34 * x - 28 * x = 420 - 300<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "6 * x = 120<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 120 / 6 = 20\r<BR>\n" );
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document.write( "this says that the number of boys is 20.<BR>\n" );
document.write( "15 girls plus 20 boys = 35 children.<BR>\n" );
document.write( "15 * 20 + 20 * 34 = 300 + 680 = 980 collected stamps.<BR>\n" );
document.write( "980 / 35 = average of 28 stamps per child.\r<BR>\n" );
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document.write( "numbers look good.<BR>\n" );
document.write( "solution is that there were 35 children.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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