document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526816>Question 526816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. TIckets for the senior play cost $4 for adults and $2 for students. This year there were 600 tickets sold and the class took in $1900 from ticket sales. How many of each type of ticket were sold.\r<BR>\n" );
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document.write( "2 The sume of two numbers is 100. Five times the smaller is eight more than the larger. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348703 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. TIckets for the senior play cost $4 for adults and $2 for students. This year there were 600 tickets sold and the class took in $1900 from ticket sales. How many of each type of ticket were sold.\r<BR>\n" );
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document.write( "Total tickets sold = 600<BR>\n" );
document.write( "Adults Tickets sold = x<BR>\n" );
document.write( "Students Tickets sold = 600-x<BR>\n" );
document.write( "Cost of a Adults ticket = $4<BR>\n" );
document.write( "Cost of students ticket = $2<BR>\n" );
document.write( "Total sell = $1900\r<BR>\n" );
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document.write( "(Adults Tickets sold)*(Cost of a Adults ticket)+(Students Tickets sold)*(Cost of students ticket) = Total sell<BR>\n" );
document.write( "x*4+(600-x)*2=1900<BR>\n" );
document.write( "4x+1200-2x=1900<BR>\n" );
document.write( "4x-2x=1900-1200<BR>\n" );
document.write( "2x=700<BR>\n" );
document.write( "x=700/2<BR>\n" );
document.write( "x=350\r<BR>\n" );
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document.write( "Adults Tickets sold = x = 350<BR>\n" );
document.write( "Students Tickets sold = 600-x = 600-350 = 250\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "350*4+250*2=1900<BR>\n" );
document.write( "1400+500=1900<BR>\n" );
document.write( "1900=1900\r<BR>\n" );
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document.write( "2 The sume of two numbers is 100. Five times the smaller is eight more than the larger. Find the numbers.\r<BR>\n" );
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document.write( "Let<BR>\n" );
document.write( "Smaller Number = x<BR>\n" );
document.write( "Larger Number = y\r<BR>\n" );
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document.write( "Sum of two numbers is 100<BR>\n" );
document.write( "x+y=100<BR>\n" );
document.write( "x=100-y........(1)\r<BR>\n" );
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document.write( "Five times the smaller is eight more than the larger<BR>\n" );
document.write( "5x=y+8..........(2)\r<BR>\n" );
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document.write( "Put the value of x from (1) to (2)<BR>\n" );
document.write( "5(100-y)=y+8<BR>\n" );
document.write( "500-5y=y+8<BR>\n" );
document.write( "500-8=y+5y<BR>\n" );
document.write( "492=6y<BR>\n" );
document.write( "492/6=6y/6<BR>\n" );
document.write( "82=y<BR>\n" );
document.write( "y=82<BR>\n" );
document.write( "Put the value of y in (1)<BR>\n" );
document.write( "x=100-82<BR>\n" );
document.write( "x=18\r<BR>\n" );
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document.write( "Smaller Number = x = 18<BR>\n" );
document.write( "Larger Number = y = 82\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "x+y=100<BR>\n" );
document.write( "18+82=100<BR>\n" );
document.write( "100=100<BR>\n" );
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document.write( "5x=y+8<BR>\n" );
document.write( "5(18)=82+8<BR>\n" );
document.write( "90=90\r<BR>\n" );
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document.write( " </SPAN>\n" );
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