document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127278>Question 1127278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An old jar of dimes and quarters contains 200 coins total, and the value of all the coins is $42.50. How many quarters are in the jar? \r<BR>\n" );
document.write( "\n" );
document.write( "A. 50 B. 130 C. 127 D. 150 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743637 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A QUICK FIFTH-GRADER ANSWER:<BR>\n" );
document.write( "Using only quarters, you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42.50%2A4=170 ALIGN=MIDDLE  ALT=\"42.50%2A4=170\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins to make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2442.50%22 ALIGN=MIDDLE  ALT=\"%22%2442.50%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Using only quarters and dimes, you need an even number of quarters to make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2442.50%22 ALIGN=MIDDLE  ALT=\"%22%2442.50%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "(Using an odd number of quarters you would make amounts ending in 5)<BR>\n" );
document.write( "If you start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170 ALIGN=MIDDLE  ALT=\"170\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters,<BR>\n" );
document.write( "and swap <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > dimes,<BR>\n" );
document.write( "You would still have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2442.50%22 ALIGN=MIDDLE  ALT=\"%22%2442.50%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but the number of coins would increase by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2=3 ALIGN=MIDDLE  ALT=\"5-2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170%2B3=173 ALIGN=MIDDLE  ALT=\"170%2B3=173\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "How many such swaps would it take to have a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200 ALIGN=MIDDLE  ALT=\"200\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200 ALIGN=MIDDLE  ALT=\"200\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200-170=30 ALIGN=MIDDLE  ALT=\"200-170=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > more coins than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170 ALIGN=MIDDLE  ALT=\"170\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So starting from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170 ALIGN=MIDDLE  ALT=\"170\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters, you would need<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F3=10 ALIGN=MIDDLE  ALT=\"30%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > such swaps.<BR>\n" );
document.write( "Then you would be using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A2=20 ALIGN=MIDDLE  ALT=\"10%2A2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > less quarters,<BR>\n" );
document.write( "for a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170-20=highlight%28150%29 ALIGN=MIDDLE  ALT=\"170-20=highlight%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters.<BR>\n" );
document.write( "If you can do that quickly, in your head,<BR>\n" );
document.write( "you are on your way to a good SAT score,<BR>\n" );
document.write( "and maybe a job as a casino dealer.<BR>\n" );
document.write( "If you need pencil and paper, you could still do well on the SAT.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ONE SHOW-YOUR-WORK ANSWER FOR ALGEBRA CLASS:<BR>\n" );
document.write( "With one variable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number ALIGN=MIDDLE  ALT=\"number\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=of ALIGN=MIDDLE  ALT=\"of\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=quarters ALIGN=MIDDLE  ALT=\"quarters\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200-x ALIGN=MIDDLE  ALT=\"200-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number ALIGN=MIDDLE  ALT=\"number\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=of ALIGN=MIDDLE  ALT=\"of\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dimes ALIGN=MIDDLE  ALT=\"dimes\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The total money amount, in cents, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10%28200-x%29=4250 ALIGN=MIDDLE  ALT=\"25x%2B10%28200-x%29=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You simplify and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , maybe like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10%28200-x%29=4250 ALIGN=MIDDLE  ALT=\"25x%2B10%28200-x%29=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B2000-10x=4250 ALIGN=MIDDLE  ALT=\"25x%2B2000-10x=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2B2000=4250 ALIGN=MIDDLE  ALT=\"15x%2B2000=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x=4250-2000 ALIGN=MIDDLE  ALT=\"15x=4250-2000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x=2250 ALIGN=MIDDLE  ALT=\"15x=2250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2250%2F15 ALIGN=MIDDLE  ALT=\"x=2250%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=150%29 ALIGN=MIDDLE  ALT=\"highlight%28x=150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "ANOTHER SHOW-YOUR-WORK ANSWER FOR ALGEBRA CLASS:<BR>\n" );
document.write( "With two variables:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number ALIGN=MIDDLE  ALT=\"number\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=of ALIGN=MIDDLE  ALT=\"of\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=quarters ALIGN=MIDDLE  ALT=\"quarters\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=number ALIGN=MIDDLE  ALT=\"number\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=of ALIGN=MIDDLE  ALT=\"of\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dimes ALIGN=MIDDLE  ALT=\"dimes\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The total number of coins is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=200 ALIGN=MIDDLE  ALT=\"x%2By=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total money amount is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%240.25%22%2Ax%2B%22%240.10%22%2Ay=%22%2442.50%22 ALIGN=MIDDLE  ALT=\"%22%240.25%22%2Ax%2B%22%240.10%22%2Ay=%22%2442.50%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(or maybe, in cents, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10y=4250 ALIGN=MIDDLE  ALT=\"25x%2B10y=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" > ).<BR>\n" );
document.write( "With those two equations we have a system of linear equations to solve by the method of your choice.<BR>\n" );
document.write( "Maybe, from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=200%2C25x%2B10y=4250%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=200%2C25x%2B10y=4250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "you solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=200 ALIGN=MIDDLE  ALT=\"x%2By=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=200-x ALIGN=MIDDLE  ALT=\"y=200-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, you substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200-x ALIGN=MIDDLE  ALT=\"200-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10y=4250 ALIGN=MIDDLE  ALT=\"25x%2B10y=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" > , get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B10%28200-x%29=4250 ALIGN=MIDDLE  ALT=\"25x%2B10%28200-x%29=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B2000-10x=4250 ALIGN=MIDDLE  ALT=\"25x%2B2000-10x=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2B2000=4250 ALIGN=MIDDLE  ALT=\"15x%2B2000=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x=4250-2000 ALIGN=MIDDLE  ALT=\"15x=4250-2000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x=2250 ALIGN=MIDDLE  ALT=\"15x=2250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2250%2F15 ALIGN=MIDDLE  ALT=\"x=2250%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=150%29 ALIGN=MIDDLE  ALT=\"highlight%28x=150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "At that point you could also find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > , the number of dimes,<BR>\n" );
document.write( "but nobody asked for that. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );