document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154228>Question 1154228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> adult tickets cost 8$ and student tickets for the concert cost 4$ exactly 290 tickets were sold and there was 1,440 made total how many students and adults tickets 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 #776627 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13367)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Formally....<br><BR>\n" );
document.write( "a = number of adult tickets<BR>\n" );
document.write( "s = number of student tickets<br><BR>\n" );
document.write( "a+s = 290  (the total number of tickets was 290)<BR>\n" );
document.write( "8a+4s = 1440  (the total cost, at $8 per adult and $4 per student, was $1440)<br><BR>\n" );
document.write( "Solve the pair of equations by your favorite method....<br><BR>\n" );
document.write( "When the equations are both in that form, elimination is easiest.<br><BR>\n" );
document.write( "4a+4s = 1160<BR>\n" );
document.write( "8a+4s = 1440<br><BR>\n" );
document.write( "subtract one equation from the other to eliminate s<br><BR>\n" );
document.write( "4a = 280<BR>\n" );
document.write( "a = 70<br><BR>\n" );
document.write( "There were 70 adult tickets.<br><BR>\n" );
document.write( "So there were 290-70 = 220 student tickets.<br><BR>\n" );
document.write( "ANSWER: 70 adult tickets, 220 student tickets.<br><BR>\n" );
document.write( "CHECK: 70(8)+220(4) = 560+880 = 1440<br><BR>\n" );
document.write( "Informally -- if an algebraic solution is not required....<br><BR>\n" );
document.write( "(1) If all 290 tickets had been student tickets, the total cost would have been $290*4 = $1160; the actual total is $1440-$1160 = $280 more than that.<BR>\n" );
document.write( "(2) The difference between the cost of an adult ticket and a student ticket is $4.<BR>\n" );
document.write( "(3) The number of adult tickets needed to make up that extra $280 is 280/4 = 70.<br><BR>\n" );
document.write( "ANSWER: 70 adult tickets and 220 student tickets<br><BR>\n" );
document.write( "Note that the informal solution used exactly the same calculations as the formal method....<br><BR>\n" );
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