document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250074>Question 250074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are selling tickets for a high school basketball game. Student<BR>\n" );
document.write( "    tickets cost $3 and general admission tickets cost $5. You sell 350<BR>\n" );
document.write( "    tickets and collect $1,450. How many student tickets did you sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186487 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=186487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are selling tickets for a high school basketball game. Student<BR>\n" );
document.write( "tickets cost $3 and general admission tickets cost $5. You sell 350<BR>\n" );
document.write( "tickets and collect $1,450. How many student tickets did you sell?\r<BR>\n" );
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document.write( "This can be solved as a system of two equations:\r<BR>\n" );
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document.write( "Student tickets cost $3 and general admission tickets cost $5. You sell 350<BR>\n" );
document.write( "tickets.  Therefore, the first equation is:  \r<BR>\n" );
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document.write( "Student Tickets (S) + Genr'l Admission Tickets (G) = 350 <BR>\n" );
document.write( " S + G = 350\r<BR>\n" );
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document.write( "The second equation is:  S(3.00) + G(5.0) = 1,450\r<BR>\n" );
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document.write( "The two equations are:   \r<BR>\n" );
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document.write( "S + G = 350   ------> this is also the same as:  S = 350 - G (Substitute this info into the 2nd equation).<BR>\n" );
document.write( "S(3.00) + G(5.0) = 1,450\r<BR>\n" );
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document.write( "S(3.00) + G(5.0) = 1,450  (original 2nd equation)<BR>\n" );
document.write( "3.00(350 - G) + G(5.0) = 1,450  (Plugged S = 350 - G into the equation)<BR>\n" );
document.write( "1,050 - 3.0G + G(5) = 1,450 (distributed the 3.0 to the 350 and to the G)<BR>\n" );
document.write( "1,050 + 2.0G = 1,450 (combined -3.0G + G5 to get 2.0G)<BR>\n" );
document.write( "2.0G = 1,450 - 1,050 (subtracted 1,050 from both sides to isolate G)<BR>\n" );
document.write( "2.0G = 400 <BR>\n" );
document.write( "   G = 200 (divided both sides by 2.0 to isolate the G)\r<BR>\n" );
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document.write( "Now we know there were 200 general admission tickets.  Let's go back to the 1st equation:\r<BR>\n" );
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document.write( "S + G = 350<BR>\n" );
document.write( "S + 200 = 350 (substituted in the 200 for the G variable)<BR>\n" );
document.write( "S = 350 - 200 (subtracted 200 from both sides of the equation to isolate the S)<BR>\n" );
document.write( "S = 150\r<BR>\n" );
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document.write( "Does this work out?  Let's check..........\r<BR>\n" );
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document.write( "You are selling tickets for a high school basketball game. Student<BR>\n" );
document.write( "tickets cost $3 and general admission tickets cost $5. You sell 350<BR>\n" );
document.write( "tickets and collect $1,450. \r<BR>\n" );
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document.write( "150 Student tickets + 200 Gen Admission tickets = 350 so that checks.\r<BR>\n" );
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document.write( "200(5) + 150(3) = <BR>\n" );
document.write( "1000 + 450 = 1,450   This checks, too.\r<BR>\n" );
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document.write( "Hope this helps.  :-)  </SPAN>\n" );
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