document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098840>Question 1098840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equations\r<BR>\n" );
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document.write( "The circus is coming. Cindy is selling tickets. she sold 8 adults tickets and 5 children's tickets for a total of $177.50 in sales. The second day she received $255.00 for 12 adult tickets and 6 children tickets. What is the price of a child's ticket? What is the price of an adult ticket?\r<BR>\n" );
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document.write( "Write two algebraic equations that model this circus ticket scenario.<BR>\n" );
document.write( "Show how you solved the problem by using elimination method, the substitution method, or the graphical method </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713238 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cindy is selling tickets. she sold 8 adults tickets and 5 children's tickets for a total of $177.50 in sales.<BR>\n" );
document.write( " The second day she received $255.00 for 12 adult tickets and 6 children tickets.<BR>\n" );
document.write( " What is the price of a child's ticket?<BR>\n" );
document.write( " What is the price of an adult ticket? <BR>\n" );
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document.write( "let a = price of an adult ticket<BR>\n" );
document.write( "let c = price of a child's<BR>\n" );
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document.write( "Write an equation for each day<BR>\n" );
document.write( "8a + 5c = 177.50<BR>\n" );
document.write( "12a + 6c = 255.0<BR>\n" );
document.write( "Use the above equation for substitution<BR>\n" );
document.write( "12c + 6c = 255.0<BR>\n" );
document.write( "6c = -12a + 255<BR>\n" );
document.write( "Divide both sides by 6<BR>\n" );
document.write( "c = -2a + 42.5<BR>\n" );
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document.write( "In the first equation, replace c with (-2a+42.5)<BR>\n" );
document.write( "8a + 5(-2a+42.5) = 177.50<BR>\n" );
document.write( "8a - 10a + 212.5 = 177.5<BR>\n" );
document.write( "-2a = 177.5 - 212.5<BR>\n" );
document.write( "-2a = -35<BR>\n" );
document.write( "a = -35/-2<BR>\n" );
document.write( "a = $17.50 is the cost of an adult ticket<BR>\n" );
document.write( "Find the child's ticket cost<BR>\n" );
document.write( "c = -2(17.5) + 42.5<BR>\n" );
document.write( "c = -35 + 42.5<BR>\n" );
document.write( "c = $7.50 is cost of a child's ticket<BR>\n" );
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document.write( "Confirm this in the original 2nd equation<BR>\n" );
document.write( "12(17.5) + 6(7.5) = 255<BR>\n" );
document.write( "210 + 45 = 255 </SPAN>\n" );
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