document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=772675>Question 772675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of 30 tourists paid a total of $686 in bus fares. If the adult fare was $28 and children paid half fare, how many adults were in the group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471102 by </B><A HREF=/tutors/aboutme.mpl?userid=pakhi><B>pakhi(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pakhi><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=pakhi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of adults in the group be A.<BR>\n" );
document.write( "Let the number of children in the group be C.\r<BR>\n" );
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document.write( "Therefore according to the problem<BR>\n" );
document.write( "Condition 1  A child's fare was half of that of an adult's fare i.e. 28/2= $14.<BR>\n" );
document.write( "   <BR>\n" );
document.write( "Condition 2 Total number of tourists were equal to 30 <BR>\n" );
document.write( "            A + C = 30 or C = 30 - A ------------------(1)\r<BR>\n" );
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document.write( "Condition 3 Total bus fare was $686 which was equal to the bus fares of A adults @                     $28 each plus the fares of C children @ $14 each <BR>\n" );
document.write( "            28A + 14C = 686<BR>\n" );
document.write( "            Putting the value of C from equation 1 we get<BR>\n" );
document.write( "            28A + 14(30 - A) = 686 <BR>\n" );
document.write( "         or 28A + 420 - 14A = 686<BR>\n" );
document.write( "         or 14A = 686 - 420 = 266<BR>\n" );
document.write( "         or A = 266/14 = 19<BR>\n" );
document.write( "         Also C= 30 - A = 30 - 19 - 11\r<BR>\n" );
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document.write( "So the number of adults in the bus was 19 and the number of children was 11.<BR>\n" );
document.write( " </SPAN>\n" );
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