document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252604>Question 252604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 35 tickets to be sold for the dance. The number of tickets sold to seniors must be four times the number of tickets sold to juniors. <BR>\n" );
document.write( "  please give me 2 linear equations and a solution. \r<BR>\n" );
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document.write( "A diamond today costs 10$ more than twice what it cost last year. The sum of the cost (last year and this year) is 2500$. What is the cost of last years diamond?<BR>\n" );
document.write( "   i need 2 linear equations and a solution for this question also.\r<BR>\n" );
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document.write( "  THANK U SO MUCH!\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184609 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=184609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "Let s = # of senior tickets and j = # of junior tickets\r<BR>\n" );
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document.write( "Since there are 35 tickets in total, and we're assuming that only junior and senior tickets are sold, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%2Bs=35 ALIGN=MIDDLE  ALT=\"j%2Bs=35\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, adding up the two totals will give you the grand total of 35.\r<BR>\n" );
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document.write( "Also, because \"The number of tickets sold to seniors must be four times the number of tickets sold to juniors\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4j ALIGN=MIDDLE  ALT=\"s=4j\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In English, the number of senior tickets 's' is 4 times the number of junior tickets 'j'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%2Bs=35 ALIGN=MIDDLE  ALT=\"j%2Bs=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%2B4j=35 ALIGN=MIDDLE  ALT=\"j%2B4j=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4j ALIGN=MIDDLE  ALT=\"s=4j\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5j=35 ALIGN=MIDDLE  ALT=\"5j=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=%2835%29%2F%285%29 ALIGN=MIDDLE  ALT=\"j=%2835%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j ALIGN=MIDDLE  ALT=\"j\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=7 ALIGN=MIDDLE  ALT=\"j=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So there are 7 junior tickets.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4j ALIGN=MIDDLE  ALT=\"s=4j\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4%2A7 ALIGN=MIDDLE  ALT=\"s=4%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=7 ALIGN=MIDDLE  ALT=\"j=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=28 ALIGN=MIDDLE  ALT=\"s=28\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So there are 28 senior tickets.\r<BR>\n" );
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document.write( "As a check, take note that 28 is indeed 4 times 7 AND 28+7=35. So we've met our conditions.\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Let t = cost of diamond today and y = cost of diamond last year\r<BR>\n" );
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document.write( "Since \"A diamond today costs 10$ more than twice what it cost last year\", we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2y%2B10 ALIGN=MIDDLE  ALT=\"t=2y%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie double the cost from last year 'y' and add 10 to get the new cost today 't').\r<BR>\n" );
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document.write( "Also, because \"The sum of the cost (last year and this year) is 2500$\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2By=2500 ALIGN=MIDDLE  ALT=\"t%2By=2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > (just add up the two individual costs to get the grand total of $2500)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2By=2500 ALIGN=MIDDLE  ALT=\"t%2By=2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B10%2By=2500 ALIGN=MIDDLE  ALT=\"2y%2B10%2By=2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2y%2B10 ALIGN=MIDDLE  ALT=\"t=2y%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B10=2500 ALIGN=MIDDLE  ALT=\"3y%2B10=2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=2500-10 ALIGN=MIDDLE  ALT=\"3y=2500-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=2490 ALIGN=MIDDLE  ALT=\"3y=2490\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282490%29%2F%283%29 ALIGN=MIDDLE  ALT=\"y=%282490%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=830 ALIGN=MIDDLE  ALT=\"y=830\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So the cost of the diamond last year was $830.\r<BR>\n" );
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document.write( "If you want to keep going then...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2y%2B10 ALIGN=MIDDLE  ALT=\"t=2y%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2%28830%29%2B10 ALIGN=MIDDLE  ALT=\"t=2%28830%29%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=830 ALIGN=MIDDLE  ALT=\"y=830\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1660%2B10 ALIGN=MIDDLE  ALT=\"t=1660%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1670 ALIGN=MIDDLE  ALT=\"t=1670\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So the cost of the diamond today is $1670. </SPAN>\n" );
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