document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193145>Question 193145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi..<BR>\n" );
document.write( " My question is ..<BR>\n" );
document.write( " <BR>\n" );
document.write( "In one day a ticket agent sold 395 tickets to the circus. A child ticket cost $22 and an adult ticket cost $28. The total amount collected that day was $10,130. How many of each type of ticket did the agent sell that day?<BR>\n" );
document.write( "   <BR>\n" );
document.write( "well I did..<BR>\n" );
document.write( "   22 c+28 a=10130<BR>\n" );
document.write( "    c+a=395 ___  but i changed it into..c=395-9\r<BR>\n" );
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document.write( "I dont know if this is right <BR>\n" );
document.write( " But i was trying use the substitution method ..<BR>\n" );
document.write( "will you help me..<BR>\n" );
document.write( "to find the answer<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 #144986 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=144986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are definitely on the right track!<BR>\n" );
document.write( "Let c = the number of child tickets and a = the number of adult tickets. (It's always appropriate to define your variables).<BR>\n" );
document.write( "As you have correctly stated:<BR>\n" );
document.write( "22(c)+28(a) = 10,130<BR>\n" );
document.write( "a+c = 395 which can be expressed as c = 395-a Now you can substitute c = 395-a into the first equation, to get:<BR>\n" );
document.write( "22(395-a)+28a = 10,130 Now you can solve for a.<BR>\n" );
document.write( "8690-22a + 28a = 10,130 Simplify.<BR>\n" );
document.write( "8690 + 6a = 10,130 Subtract 8690 from both sides.<BR>\n" );
document.write( "6a = 1440 Divide both sides by 6.<BR>\n" );
document.write( "a = 240 This is the number of adult tickets sold.<BR>\n" );
document.write( "c = 395-a<BR>\n" );
document.write( "c = 395-240<BR>\n" );
document.write( "c = 155 This is the number of child tickets sold.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "c+a = 395<BR>\n" );
document.write( "155 + 240 = 395 Total number of tickets sold.<BR>\n" );
document.write( "$22(c)+$28(a) = $10,130<BR>\n" );
document.write( "$22(155) + $28(240) = $10,130<BR>\n" );
document.write( "$3410 + $6720 = $10,130<BR>\n" );
document.write( "$10,130 = $10,130  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );