document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127717>Question 127717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at a college prodution of streetcar named desire 400tickets were sold. the ticket prices were $8, $10, and $12 and the total income from the ticket sales was 3700. how many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 7 times the number of $12 tickets sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93620 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=93620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prices were $8, $10, and $12 and the total income from the ticket sales was $3700. how many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 7 times the number of $12 tickets sold?<BR>\n" );
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document.write( "It says 400 tickets sold:<BR>\n" );
document.write( "x + y + z = 400<BR>\n" );
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document.write( "It says:<BR>\n" );
document.write( "\"prices were $8, $10, and $12 and the total income from the ticket sales was 3700.<BR>\n" );
document.write( "8x + 10y + 12z = 3700<BR>\n" );
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document.write( "It says:<BR>\n" );
document.write( "\"the combined number of $8 and $10 tickets sold was 7 times the number of $12 tickets sold?\"<BR>\n" );
document.write( "x + y = 7z<BR>\n" );
document.write( "x = (7z-y)<BR>\n" );
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document.write( "Using the 1st equation, substitute (7z-y) for x<BR>\n" );
document.write( "(7z-y) + y + z = 400<BR>\n" );
document.write( "7z + z - y + y = 400<BR>\n" );
document.write( "8z = 400<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F8 ALIGN=MIDDLE  ALT=\"400%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 50 ea $12 ticket sold<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Substitute 50 for z in the 1st equation:<BR>\n" );
document.write( "x + y + 50 = 400<BR>\n" );
document.write( "x + y = 400 - 50<BR>\n" );
document.write( "x + y = 350<BR>\n" );
document.write( "x = (350-y)<BR>\n" );
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document.write( "Subsitute 50 for z in the 2nd equation:<BR>\n" );
document.write( "8x + 10y + 12(50) = 3700<BR>\n" );
document.write( "8x + 10y + 600 = 3700<BR>\n" );
document.write( "8x + 10y = 3700 - 600<BR>\n" );
document.write( "8x + 10y = 3100<BR>\n" );
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document.write( "Substitute (350-y) for x in the above equation<BR>\n" );
document.write( "8(350-y) + 10y = 3100 <BR>\n" );
document.write( "2800 - 8y + 10y = 3100<BR>\n" );
document.write( "2y = 3100 - 2800<BR>\n" );
document.write( "2y = 300<BR>\n" );
document.write( "y =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F2 ALIGN=MIDDLE  ALT=\"300%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 150 ea $10 tickets<BR>\n" );
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document.write( "I'll let you find the number of $8 tickets (x), there are several ways to do it. </SPAN>\n" );
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