document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822546>Question 822546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan3354, richmiller TimothyLamb(1494) and any one else please solve it\r<BR>\n" );
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document.write( "In a show adult ticket is sold at 1 $ each ticket, and<BR>\n" );
document.write( "child ticket<BR>\n" );
document.write( "costs 75 cents total 140 tickets have<BR>\n" );
document.write( "been sold and 150 $ earned, tell how<BR>\n" );
document.write( "many each tickets sold? Solution .  This statement is correct ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494921 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "a = number of adult tickets<BR>\n" );
document.write( "c = number of child tickets<BR>\n" );
document.write( "---<BR>\n" );
document.write( "total number of tickets sold:<BR>\n" );
document.write( "a + c = 140<BR>\n" );
document.write( "---<BR>\n" );
document.write( "total revenue from ticket sales<BR>\n" );
document.write( "1.00a + 0.75c = 150.00<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system of linear equations:<BR>\n" );
document.write( "a + c = 140<BR>\n" );
document.write( "1.00a + 0.75c = 150.00<BR>\n" );
document.write( "---<BR>\n" );
document.write( "c = 140 - a<BR>\n" );
document.write( "1.00a + 0.75c = 150.00<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solve by substitution:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1.00a + 0.75c = 150.00<BR>\n" );
document.write( "1.00a + 0.75(140 - a) = 150.00<BR>\n" );
document.write( "1.00a + 105.00 - 0.75a = 150.00<BR>\n" );
document.write( "0.25a = 45.00<BR>\n" );
document.write( "a = 45.00/0.25<BR>\n" );
document.write( "a = 180<BR>\n" );
document.write( "---<BR>\n" );
document.write( "c = 140 - a<BR>\n" );
document.write( "c = 140 - 180<BR>\n" );
document.write( "c = -40<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "a = number of adult tickets = 180<BR>\n" );
document.write( "c = number of child tickets = -40 (it is not possible to sell a negative number of child tickets)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "so we now have three different methods (matrix, elimination, and substitution), all yielding the same result.<BR>\n" );
document.write( "therefore, the problem statement contains an error.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "please see this answer for the matrix and elimination methods:<BR>\n" );
document.write( "http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.822539.html<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );