document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145297>Question 145297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for a train ride were $120 for a sleeping room, $80 dollars for a berth, and $50 for a coach seat. The total ticket sales were $8600. If there were 20 more berth tickets than sleeping room tickets and 3 times as many coach tickets as sleeping room tickets, how many of each type of ticket 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 #105972 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=105972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = no. of rooms<BR>\n" );
document.write( "Let y = no. of berths<BR>\n" );
document.write( "Let z = no. of seats<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"Tickets for a train ride were $120 for a sleeping room, $80 dollars for a berth, and $50 for a coach seat. The total ticket sales were $8600.\"<BR>\n" );
document.write( "120x + 80y + 50z = 8600<BR>\n" );
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document.write( "\"there were 20 more berth tickets than sleeping room tickets\"<BR>\n" );
document.write( "y = x + 20<BR>\n" );
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document.write( "\" 3 times as many coach tickets as sleeping room tickets,\"<BR>\n" );
document.write( "z = 3x<BR>\n" );
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document.write( " how many of each type of ticket were sold?<BR>\n" );
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document.write( "Substitute (x+20) for y and 3x for z in the 1st equation:<BR>\n" );
document.write( "120x + 80(x+20) + 50(3x) = 8600<BR>\n" );
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document.write( "120x + 80x + 1600 + 150x = 8600; multiplied whats in the brackets<BR>\n" );
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document.write( "120x + 80x + 150x = 8600 - 1600; subtracted 1600 from both sides<BR>\n" );
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document.write( "350x = 7000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7000%2F350 ALIGN=MIDDLE  ALT=\"7000%2F350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 20 sleeping room tickets<BR>\n" );
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document.write( "I'll let you find y and z using the 2nd and 3rd equations<BR>\n" );
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document.write( "Check your solutions in the $total equation </SPAN>\n" );
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