document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530934>Question 530934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello.  I am having trouble with the following question. Can you please help?\r<BR>\n" );
document.write( "\n" );
document.write( "500 tickets  were sold for a music concert. Adult tickets sold for $7.50 and children tickets sold for $4. Total ticket sales were $3312.50. How many of each kind of ticket 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 #350258 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = number of adult tickets sold<BR>\n" );
document.write( "c = number of children ticks sold<BR>\n" );
document.write( "a + c = 500 (given)<BR>\n" );
document.write( "so<BR>\n" );
document.write( "a = 500-c<BR>\n" );
document.write( ".<BR>\n" );
document.write( "7.5a = value of the adult tickets sold<BR>\n" );
document.write( "4c = value of the children tickets sold<BR>\n" );
document.write( "7.5a + 4c = 3312.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute a = 500-c<BR>\n" );
document.write( ".<BR>\n" );
document.write( "7.5(500-c) + 4c = 3312.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "multiply by 10 to eliminate decimals<BR>\n" );
document.write( ".<BR>\n" );
document.write( "75(500-c) + 40c = 33125<BR>\n" );
document.write( ".<BR>\n" );
document.write( "37500 -75c + 40c = 33125<BR>\n" );
document.write( ".<BR>\n" );
document.write( "-35c = -4375<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c = 125 child tickets<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a = 500-c<BR>\n" );
document.write( "a = 375 adult tickets<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check the value to make sure this is the right answer.<BR>\n" );
document.write( "4*125 = 500<BR>\n" );
document.write( "7.5*375 = 2812.5<BR>\n" );
document.write( "500+2812.5 = 3312.5<BR>\n" );
document.write( "Correct.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:  375 adult tickets and 125 child tickets.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );