document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135264>Question 1135264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equations <BR>\n" );
document.write( "The circus is coming. Cindy is selling tickets. she sold 8 adults tickets and 5 children's tickets for a total of $180.50 in sales. The second day she received $261.00 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? <BR>\n" );
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 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752857 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a be the cost of an adult's ticket and c be the cost of a child's ticket, then<BR>\n" );
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document.write( "1)  8a +5c = 180.50<BR>\n" );
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document.write( "2) 12a +6c = 261<BR>\n" );
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document.write( "solve equation 1 for a<BR>\n" );
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document.write( "8a = 180.50 -5c<BR>\n" );
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document.write( "3) a = (180.50 -5c)/8<BR>\n" );
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document.write( "substitute for a in equation 2<BR>\n" );
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document.write( "12(180.50 -5c)/8 +6c = 261<BR>\n" );
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document.write( "multiply both sides of = by 8<BR>\n" );
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document.write( "12(180.50 -5c) +48c = 2088<BR>\n" );
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document.write( "2166 -60c +48c = 2088<BR>\n" );
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document.write( "-12c = -78<BR>\n" );
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document.write( "c = 6.50<BR>\n" );
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document.write( "Use equation 3 to find the value of a<BR>\n" );
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document.write( "a = (180.50 -5(6.50))/8 = 18.50<BR>\n" );
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document.write( "cost of adult ticket is $18.50 and cost of child ticket is $6.50<BR>\n" );
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document.write( "check the answer by substituting in equations 1 and 2<BR>\n" );
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document.write( "equation 1<BR>\n" );
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document.write( "8(18.50) +5(6.50) = 180.50<BR>\n" );
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document.write( "148 +32.50 = 180.50<BR>\n" );
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document.write( "180.50 = 180.50<BR>\n" );
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document.write( "equation 2<BR>\n" );
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document.write( "12(18.50) +6(6.50) = 261<BR>\n" );
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document.write( "222 +39 = 261<BR>\n" );
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document.write( "261 = 261<BR>\n" );
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document.write( "answer checks<BR>\n" );
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