document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838895>Question 838895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a college function, a total of 180 tickets were sold. The tickets were priced at $5, $10, and $15, and the money collected that day was $1,900. The sum of the numbers of $5 and $15 tickets sold was twice the number of $10 tickets sold. Find the number of each type of ticket sold for the college function. \r<BR>\n" );
document.write( "\n" );
document.write( "so frustrated I cannot figure out word problems. <BR>\n" );
document.write( "Do you have suggestions on making it easier to understand? Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505405 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At a college function, a total of 180 tickets were sold. The tickets were priced at $5, $10, and $15, and the money collected that day was $1,900. The sum of the numbers of $5 and $15 tickets sold was twice the number of $10 tickets sold. Find the number of each type of ticket sold for the college function. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "$5----------x numbers<BR>\n" );
document.write( "$10---------y\r<BR>\n" );
document.write( "\n" );
document.write( "$15---------z\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=180\r<BR>\n" );
document.write( "\n" );
document.write( "5x+10y+15z= 1900\r<BR>\n" );
document.write( "\n" );
document.write( "sum of $5 and $15 tickets = twice $10\r<BR>\n" );
document.write( "\n" );
document.write( "x+z= 2y\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=180<BR>\n" );
document.write( "x+z=2y\r<BR>\n" );
document.write( "\n" );
document.write( "2y+y=180<BR>\n" );
document.write( "3y= 180<BR>\n" );
document.write( "y=60, number of  $10 tickets\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5x+10y+15z= 1900<BR>\n" );
document.write( "5x+10*60+15z=1900<BR>\n" );
document.write( "5x+600+15z=1900<BR>\n" );
document.write( "5x+15z=1300<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "x+3z=260<BR>\n" );
document.write( "But x+z=120<BR>\n" );
document.write( "120+2z=260<BR>\n" );
document.write( "2z=260-120<BR>\n" );
document.write( "2z=140<BR>\n" );
document.write( "z=70 Number of $15 tickets\r<BR>\n" );
document.write( "\n" );
document.write( "Balance $ 5 tickets\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );