document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616075>Question 616075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720, how many regular admission tickets were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387473 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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=387473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us say that the total number of regular admission tickets is a and the total number of senior tickets is s.\r<BR>\n" );
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document.write( "So each sale of one of these tickets brings in $4 and $3 respectively\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "(a x 4) + (s x 3) is the total sales which is $720\r<BR>\n" );
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document.write( "i.e. \r<BR>\n" );
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document.write( "4a + 3s = 720\r<BR>\n" );
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document.write( "We also know the total number of people was 190 so:\r<BR>\n" );
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document.write( "a + s = 190\r<BR>\n" );
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document.write( "So if we rearrange the second equation we can get:\r<BR>\n" );
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document.write( "s = 190 - a\r<BR>\n" );
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document.write( "Now we substitute this into the first equation:\r<BR>\n" );
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document.write( "4a + 3(190 - a) = 720\r<BR>\n" );
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document.write( "4a + (570 - 3a) = 720\r<BR>\n" );
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document.write( "4a + 570 - 3a = 720\r<BR>\n" );
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document.write( "4a - 3a = 720 - 570\r<BR>\n" );
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document.write( "a = 150\r<BR>\n" );
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document.write( "so 150 regular admission tickets were sold !!! </SPAN>\n" );
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