document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146137>Question 146137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There were 233 tickets sold for a basketball game. The activity cardholder's tickets cost $150 and the non-cardholders' tickets cost $2.25. The total of money collected was $384.75. How many of each kind of ticket were sold?\r<BR>\n" );
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document.write( "How many cardholder's tickets were sold?<BR>\n" );
document.write( "How many non-cardholders' tickets were sold?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106701 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There were 233 tickets sold for a basketball game. The activity cardholder's tickets cost $1.50 and the non-cardholders' tickets cost $2.25. The total of money collected was $384.75. How many of each kind of ticket were sold?<BR>\n" );
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document.write( "Let x = no. cardholders<BR>\n" );
document.write( "Let y = no. of non-cardholders<BR>\n" );
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document.write( "\"There were 233 tickets sold for a basketball game.\"; an equation for this:<BR>\n" );
document.write( "x + y = 233<BR>\n" );
document.write( "y = (233-x)<BR>\n" );
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document.write( "The total collected was 384.75<BR>\n" );
document.write( "1.50x + 2.25y = 384.75<BR>\n" );
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document.write( "How many cardholder's tickets were sold?<BR>\n" );
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document.write( "substitute (233-x) for y in the above equation<BR>\n" );
document.write( "1.5x + 2.25(233-x) = 384.75<BR>\n" );
document.write( "1.5x + 524.25 - 2.25x = 384.75<BR>\n" );
document.write( "1.5x - 2.25x = 384.75 - 524.25<BR>\n" );
document.write( "-.75x = -139.50<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-139.50%29%2F%28-.75%29 ALIGN=MIDDLE  ALT=\"%28-139.50%29%2F%28-.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +186 cardholders<BR>\n" );
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document.write( "How many non-cardholders' tickets were sold? <BR>\n" );
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document.write( "y = 233 - 186<BR>\n" );
document.write( "y = 47 non-cardholders<BR>\n" );
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document.write( "1.5(186) + 2.25(47) = 384.75 </SPAN>\n" );
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