document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202593>Question 1202593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 125 people attend a concert and tickets for adults cost $4.00 while tickets for children cost $1.75 and total receipts for the concert was $324.50, how many of each went to the concert?\r<BR>\n" );
document.write( "\n" );
document.write( "There were adults and children that attended the concert. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837515 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=837515\">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( "x = adults<BR>\n" );
document.write( "125-x = children<br><BR>\n" );
document.write( "The total cost of the tickets, at $4 per adult and $1.75 per child, was $324.50:<br><BR>\n" );
document.write( "4(x)+1.75(125-x) = 324.50<br><BR>\n" );
document.write( "You can do the work to find the answer.  (The algebra is basic, but the numbers are a bit ugly....)<br><BR>\n" );
document.write( "Informally, using logical reasoning and simple arithmetic....<br><BR>\n" );
document.write( "If all 125 tickets were adult tickets, the total cost would have been 125($4) = $500.<BR>\n" );
document.write( "The actual total was $324.50, which is $175.50 less than $500.<BR>\n" );
document.write( "The difference in the cost of an adult ticket and a child ticket is $4-$1.75 = $2.25.<BR>\n" );
document.write( "The number of child tickets, to make the difference of $175.50, was 175.50/2.25 = 702/9 = 78.<br><BR>\n" );
document.write( "ANSWER: 78 children's tickets and 125-78 = 47 adult tickets<br><BR>\n" );
document.write( "CHECK: 78($1.75)+47($4) = 136.50+188 = 324.50<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );