document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=582188>Question 582188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr.Frankel bought 7 tickets to a puppet show and spent $46. He bought a combination of child tickets for $2 each and adult tickets for $10 each. Which system of equations below will determine the number of adult tickets,\"a\", and the number of child tickets,\"c\", he bought? Show Work<BR>\n" );
document.write( "A.) a + c = 322<BR>\n" );
document.write( "a + c = 7\r<BR>\n" );
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document.write( "B.) a = c - 10<BR>\n" );
document.write( "10a + 2c = 46\r<BR>\n" );
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document.write( "C.) 10a + 2c = 46<BR>\n" );
document.write( "a + c = 7\r<BR>\n" );
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document.write( "D.) 2a + 2c = 53<BR>\n" );
document.write( "a + c = 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371983 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C.) 10a + 2c = 46<BR>\n" );
document.write( "a + c = 7 \r<BR>\n" );
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document.write( "a + c = 7 (total tickets must be 7)\r<BR>\n" );
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document.write( "10a + 2c = 46 (cost equation)\r<BR>\n" );
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document.write( "<TABLE  BORDER=1>\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.solver>Linear System solver (using determinant)</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%5Ca+%2B+1%5Cc+=+7%2C%0D%0A++++10%5Ca+%2B+2%5Cc+=+46+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Ca+%2B+1%5Cc+=+7%2C%0D%0A++++10%5Ca+%2B+2%5Cc+=+46+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Any system of equations:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++a%5B11%5D%2Aa+%2B+a%5B12%5D%2Ac+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Aa+%2B+a%5B22%5D%2Ac+=+b%5B2%5D%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  has solution<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++a+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++c+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  or<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++++a+=+%287%2A2+-+46%2A1%29%2F%281%2A2-10%2A1%29+=+4%2C%0D%0A++++++c+=+%281%2A46+-+10%2A7%29%2F%281%2A2-10%2A1%29+=+3%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  (a=4, c=3}<BR>\n" );
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document.write( "4 adult tickets, ($40) and 3 child tickets ($6)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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