document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991816>Question 991816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with these two problems i will appreciate it if anyone helps\r<BR>\n" );
document.write( "\n" );
document.write( "1) For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 110 tickets are sold for a total of $625, how many of the tickets were adult tickets and how many were sold to kids under 12? \r<BR>\n" );
document.write( "\n" );
document.write( "2) A mixture of 3% disinfectant solution is to be made from 5% and 2% disinfectant solutions. How much of each solution should be used if 24 gallons of 3% solution are needed?\r<BR>\n" );
document.write( "\n" );
document.write( "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 #611555 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "1) For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 110 tickets are sold for a total of $625, how many of the tickets were adult tickets <BR>\n" );
document.write( "and how many were sold to kids under 12? <BR>\n" );
document.write( "----------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let &nbsp;<B>A</B>&nbsp; be the number of adult tickets sold, &nbsp;and &nbsp;<B>C</B>&nbsp; be the number of children tickets sold.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then you have the system of two equations\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28A+%2B+C+=+110%2C%0D%0A6.5%2AA+%2B+5%2AC+=+625%29 ALIGN=MIDDLE  ALT=\"system%28A+%2B+C+=+110%2C%0D%0A6.5%2AA+%2B+5%2AC+=+625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Do you understand how this system was obtained? &nbsp;Why the system does model the problem?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If &nbsp;<U>YES</U>, &nbsp;then next step is to solve the system.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For it, &nbsp;express &nbsp;A&nbsp; from the first equation, &nbsp;A = 110 - C, &nbsp;and substitute it into the second equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then you get the single equation for the unknown &nbsp;C, &nbsp;which you easily can solve. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When you will get the value of &nbsp;C, &nbsp;distract it from &nbsp;110 to get the solution for &nbsp;A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Is it clear to you?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In the section &nbsp;\"<U>Comments from student</U>\"&nbsp; please write me whether you were able to complete the solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you.<BR>\n" );
document.write( "Good luck.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );