document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094425>Question 1094425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On the opening night of a play at a local&#8203; theatre, 990 tickets were sold for a total of&#8195;&#8195;&#8203;$9858. Adult tickets cost &#8203;$13 each.&#8203; Children's tickets cost &#8203;$9 &#8203;each, and senior citizen tickets cost &#8203;$5 each. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 222&#8203;, then how many tickets of each type were&#8203; sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708984 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of adult tickets sold<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of children's tickets sold<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of senior tickets sold<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+990+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+%2B+9b+%2B+5c+=+9858+ ALIGN=MIDDLE  ALT=\"+13a+%2B+9b+%2B+5c+=+9858+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+2c+%2B+222+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+2c+%2B+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "There are 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+-+2c+=+222+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+-+2c+=+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (3) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+990+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-a+-+b+%2B+2c+=+-222+ ALIGN=MIDDLE  ALT=\"+-a+-+b+%2B+2c+=+-222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3c+=+768+ ALIGN=MIDDLE  ALT=\"+3c+=+768+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+256+ ALIGN=MIDDLE  ALT=\"+c+=+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+%2B+9b+%2B+5%2A256+=+9858+ ALIGN=MIDDLE  ALT=\"+13a+%2B+9b+%2B+5%2A256+=+9858+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+%2B+9b+%2B+1280+=+9858+ ALIGN=MIDDLE  ALT=\"+13a+%2B+9b+%2B+1280+=+9858+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+%2B+9b+=+8578+ ALIGN=MIDDLE  ALT=\"+13a+%2B+9b+=+8578+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+990+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+256+=+990+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+256+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+734+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+734+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+ ALIGN=MIDDLE  ALT=\"+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+%2B+9b+=+8578+ ALIGN=MIDDLE  ALT=\"+13a+%2B+9b+=+8578+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-9a+-+9b+=+-6606+ ALIGN=MIDDLE  ALT=\"+-9a+-+9b+=+-6606+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+=+1972+ ALIGN=MIDDLE  ALT=\"+4a+=+1972+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+493+ ALIGN=MIDDLE  ALT=\"+a+=+493+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+-+2c+=+222+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+-+2c+=+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+493+%2B+b+-+2%2A256+=+222+ ALIGN=MIDDLE  ALT=\"+493+%2B+b+-+2%2A256+=+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+493+%2B+b+-+512+=+222+ ALIGN=MIDDLE  ALT=\"+493+%2B+b+-+512+=+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+19+=+222+ ALIGN=MIDDLE  ALT=\"+b+-+19+=+222+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+241+ ALIGN=MIDDLE  ALT=\"+b+=+241+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "The number of adult tickets sold was 493<BR>\n" );
document.write( "The number of children's tickets sold was 241<BR>\n" );
document.write( "The number of senior tickets sold was 256<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Check answers<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+990+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+493+%2B+241+%2B+256+=+990+ ALIGN=MIDDLE  ALT=\"+493+%2B+241+%2B+256+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+990+=+990+ ALIGN=MIDDLE  ALT=\"+990+=+990+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can check (2) and (3)<BR>\n" );
document.write( "Get another opinion if needed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );