document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015122>Question 1015122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 40 adults and 26 went to see a movie on the opening screening and the revenue for the showing was $486.70. The next showing 20 adults and 31 kids went to see the same movie and the revenue $332.45. How much was an adult ticket and how much was a kid ticket? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631569 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=631569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 40 adults and 26 kids went to see a movie on the opening screening and the revenue for the showing was $486.70.<BR>\n" );
document.write( " The next showing 20 adults and 31 kids went to see the same movie and the revenue $332.45.<BR>\n" );
document.write( " How much was an adult ticket and how much was a kid ticket? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = amt of adult ticket<BR>\n" );
document.write( "let k = amt for kids<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each showing<BR>\n" );
document.write( "40a + 26k = 486.70<BR>\n" );
document.write( "20a + 31k = 332.45<BR>\n" );
document.write( "Use elimination here. Multiply the 2nd equation by 2, subtract the 1st equation<BR>\n" );
document.write( "40a + 62k = 664.90<BR>\n" );
document.write( "40a + 26k = 486.70<BR>\n" );
document.write( "----------------------Subtraction eliminates a, find k<BR>\n" );
document.write( "0 + 36k = 178.20<BR>\n" );
document.write( "k = 178.20/36<BR>\n" );
document.write( "k = $4.95 for kids<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use equation 20a + 31k = 332.45 to find a<BR>\n" );
document.write( "20a + 31(4.95) = 332.45<BR>\n" );
document.write( "20a + 153.45 = 332.45<BR>\n" );
document.write( "20a = 332.45 - 153.45<BR>\n" );
document.write( "20a = 179<BR>\n" );
document.write( "a = 179/20<BR>\n" );
document.write( "a = $8.95 for adults<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check these solutions in the 1st equation: 40a + 26k = 486.70<BR>\n" );
document.write( "replace a & k<BR>\n" );
document.write( "40(8.95) + 26(4.95) = 486.70<BR>\n" );
document.write( "358.00 + 128.70 = 486.70\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );