document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831673>Question 831673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A concert was attended by 449 people and total sales were $4748. Adult tickets $12 and Children tickets $7.  How many of each ticket bought? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501538 by </B><A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><B>hovuquocan1997(83)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hovuquocan1997><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=501538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of adults be x and the number of children be y <BR>\n" );
document.write( "We have the total number of both is 449 people, so we have the first equation:<BR>\n" );
document.write( "x + y = 449<BR>\n" );
document.write( "Then we have the total cost of adult is 12x ($12 each ticket times the number of  adults) and the total cost of children is 7y ($7 each ticket times the number of children) and the total cost of both is $4748 (given). So we have the second equation: <BR>\n" );
document.write( "12x + 7y = 4748<BR>\n" );
document.write( "Now as we have 2 equations, we can form a system of equation and solve for x and y <BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+449%2C%0D%0A++++12%5Cx+%2B+7%5Cy+=+4748+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+449%2C%0D%0A++++12%5Cx+%2B+7%5Cy+=+4748+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax+=+449+-+1%2Ay ALIGN=MIDDLE  ALT=\"1%2Ax+=+449+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+449%2F1+-+1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+449%2F1+-+1%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A%28449%2F1+-+1%2Ay%2F1%29+%2B+7%5Cy+=+4748 ALIGN=MIDDLE  ALT=\"12%2A%28449%2F1+-+1%2Ay%2F1%29+%2B+7%5Cy+=+4748\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=128. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+449%2F1+-+1%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+449%2F1+-+1%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=321.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=321%2C+y=128+%29 ALIGN=MIDDLE  ALT=\"system%28+x=321%2C+y=128+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "You get x = 321 and y = 128<BR>\n" );
document.write( "That means the number of adults are 321 and the number of children are 128 <BR>\n" );
document.write( "That means there are 321 adult tickets bought and 128 children tickets bought<BR>\n" );
document.write( "TA-DAH <BR>\n" );
document.write( ":D  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );