document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117864>Question 117864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem does not tell me how many tickets were for adults and how many for a child.  How can I tell this?\r<BR>\n" );
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document.write( "solve and check your answer\r<BR>\n" );
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document.write( "Tickets for a play at the community theater cost $12 for an adult and $4 for a child.  If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85842 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=85842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold?<BR>\n" );
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document.write( "Let # of adult tickets be \"a\"; Let # of child tickets be \"c\".<BR>\n" );
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document.write( "Value EQUATION: 12a + 4c = 840<BR>\n" );
document.write( "Number EQUATION: a + c = 130<BR>\n" );
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document.write( "Multiply the 2nd equation by 4 to get:<BR>\n" );
document.write( "4a+4c = 520<BR>\n" );
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document.write( "Substract that from the 1st equation:<BR>\n" );
document.write( "8a = 320<BR>\n" );
document.write( "a = 40 (# of adult tickets sold)<BR>\n" );
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document.write( "Substitute to solve for \"c\":<BR>\n" );
document.write( "40 + c = 130<BR>\n" );
document.write( "c = 90 (# of child tickets sold)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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