document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885404>Question 885404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cheryl buys a total of 100 stamps at the post office for $20.56. if che bought 5 cent stamps, 15 cent stamps and 37 cent stamps only, and there were 10 more 37 cent stamps than 5 cent stamps. How many of each did she buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535128 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of 5 cent stamps<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of 15 cent stamps<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of 37 cent stamps<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+15b+%2B+37c+=+2056+ ALIGN=MIDDLE  ALT=\"+5a+%2B+15b+%2B+37c+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+10+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Substitute (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+a+%2B+10+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+a+%2B+10+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2a+%2B+b+=+90+ ALIGN=MIDDLE  ALT=\"+2a+%2B+b+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+90+-+2a+ ALIGN=MIDDLE  ALT=\"+b+=+90+-+2a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+15%2A%28+90+-+2a+%29+%2B+37c+=+2056+ ALIGN=MIDDLE  ALT=\"+5a+%2B+15%2A%28+90+-+2a+%29+%2B+37c+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Substitute (3) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+15%2A%28+90+-+2a+%29+%2B+37%2A%28+a+%2B+10+%29+=+2056+ ALIGN=MIDDLE  ALT=\"+5a+%2B+15%2A%28+90+-+2a+%29+%2B+37%2A%28+a+%2B+10+%29+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+1350+-+30a+%2B+37a+%2B+370+=+2056+ ALIGN=MIDDLE  ALT=\"+5a+%2B+1350+-+30a+%2B+37a+%2B+370+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12a+=+2056+-+1350+-+370+ ALIGN=MIDDLE  ALT=\"+12a+=+2056+-+1350+-+370+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12a+=+2056+-+1720+ ALIGN=MIDDLE  ALT=\"+12a+=+2056+-+1720+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12a+=+336+ ALIGN=MIDDLE  ALT=\"+12a+=+336+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+28+ ALIGN=MIDDLE  ALT=\"+a+=+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+90+-+2a+ ALIGN=MIDDLE  ALT=\"+b+=+90+-+2a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+90+-+2%2A28+ ALIGN=MIDDLE  ALT=\"+b+=+90+-+2%2A28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+34+ ALIGN=MIDDLE  ALT=\"+b+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+10+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+38+ ALIGN=MIDDLE  ALT=\"+c+=+38+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "She bought 28 of the 5 cent stamps<BR>\n" );
document.write( "She bought 34 of the 15 cent stamps<BR>\n" );
document.write( "She bought 38 of the 37 cent stamps<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+15b+%2B+37c+=+2056+ ALIGN=MIDDLE  ALT=\"+5a+%2B+15b+%2B+37c+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A28+%2B+15%2A34+%2B+37%2A38+=+2056+ ALIGN=MIDDLE  ALT=\"+5%2A28+%2B+15%2A34+%2B+37%2A38+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+140+%2B+510+%2B+1406+=+2056+ ALIGN=MIDDLE  ALT=\"+140+%2B+510+%2B+1406+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2056+=+2056+ ALIGN=MIDDLE  ALT=\"+2056+=+2056+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );