document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78043>Question 78043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for a play at the community theater cost $16 for an adult and $2 for a child. If 210 tickets were sold and the total receipts were $2380, 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 #55937 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Adult tickets = A<BR>\n" );
document.write( "Let Children's tickets = C<BR>\n" );
document.write( "Than, Adult + Children=210<BR>\n" );
document.write( "or A+C=210<BR>\n" );
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document.write( "$16(Adult)+$2(Children)=$2380<BR>\n" );
document.write( "or 16a+2C=2380<BR>\n" );
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document.write( "Solve the system of equations using any method: addition, subtraction or substitution:\r<BR>\n" );
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document.write( "A+C=210<BR>\n" );
document.write( "16A+2C=2380<BR>\n" );
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document.write( "I will use addition/subtraction:<BR>\n" );
document.write( "(-16)A+C=210 [multiply by (-16) in order to eliminate the x-terms]<BR>\n" );
document.write( "16A+2C=2380\r<BR>\n" );
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document.write( "-16A-16C=-3360<BR>\n" );
document.write( "+16A+2C=+2380<BR>\n" );
document.write( "_________________<BR>\n" );
document.write( " 0A-14C=-980<BR>\n" );
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document.write( "-14C=-980 [solve for the C-term]<BR>\n" );
document.write( "C=70<BR>\n" );
document.write( "C=Children's tickets = $70<BR>\n" );
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document.write( "Plug C=70 back into either of the original equations and solve for the cost of the Adult (A) tickets:<BR>\n" );
document.write( "A+C=210<BR>\n" );
document.write( "70+A=210<BR>\n" );
document.write( "A=210-70<BR>\n" );
document.write( "140<BR>\n" );
document.write( "Checking 140+70=210 [checks out]<BR>\n" );
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document.write( "or<BR>\n" );
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document.write( "$16(Adult)+$2(Children)=$2380<BR>\n" );
document.write( "(16)(140)+(2)(70)=2380<BR>\n" );
document.write( "2380=2380 [also checks out] </SPAN>\n" );
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