document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057158>Question 1057158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the local amateur football club spent $675 on tickets to a professional football game. if the club bought three fewer fifteen dollar tckets than four-fifths the number of twelve dollar tickets, how many tickets of each type did the club buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672387 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=672387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of $12 tickets purchased.\r<BR>\n" );
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document.write( "Then, the number of $15 tickets is \"three fewer ... than four-fifths the number\" of $12 tickets.\r<BR>\n" );
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document.write( "The number of $15 tickets can then be represented as:\r<BR>\n" );
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document.write( "(4/5)x - 3\r<BR>\n" );
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document.write( "The amount collected from the sale of $12 tickets is 12 * x = 12x.\r<BR>\n" );
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document.write( "The amount collected from the sale of $15 tickets is 15 * [(4/5)x - 3] = 12x - 45.\r<BR>\n" );
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document.write( "Together, these amounts must add up to the total ticket sales of $675, which <BR>\n" );
document.write( "gives the following equation:\r<BR>\n" );
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document.write( "12x + (12x - 45) = 675\r<BR>\n" );
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document.write( "Collecting like terms on the left side gives:\r<BR>\n" );
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document.write( "24x - 45 = 675\r<BR>\n" );
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document.write( "Adding 45 to both sides then gives:\r<BR>\n" );
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document.write( "24x = 720\r<BR>\n" );
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document.write( "Dividing both sides by 24 then leaves:\r<BR>\n" );
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document.write( "x = 30\r<BR>\n" );
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document.write( "This is the number of $12 tickets. You can then substitute x = 30 into \"(4/5)x - 3\"<BR>\n" );
document.write( "to get the number of $15 tickets. </SPAN>\n" );
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