document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147027>Question 1147027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "A B and C had 181 cookies at first. A gave away 20% of her cookies while B bought 28 more cookies. C also bought more cookies and had 4 times as many as before. Then the ratio of the number of cookies A B C had was 2:5:8 respectively. How many cookies did B have at first.\r<BR>\n" );
document.write( "\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768316 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the numbers for each person be A, B, and C.  Then the given information tells us<br><BR>\n" );
document.write( "(1) A+B+C = 181<br><BR>\n" );
document.write( "(2) (4/5)A : B+28 : 4C = 2:5:8<br><BR>\n" );
document.write( "Use the ratios in (2) to get B and C in terms of A and substitute in (1).<br><BR>\n" );
document.write( "(Of course you could also get A and C in terms of B, or A and B in terms of C....)<br><BR>\n" );
document.write( "B in terms of A:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29A%2F%28B%2B28%29+=+2%2F5 ALIGN=MIDDLE  ALT=\"%284%2F5%29A%2F%28B%2B28%29+=+2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B%2B56+=+4A ALIGN=MIDDLE  ALT=\"2B%2B56+=+4A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2B28+=+2A ALIGN=MIDDLE  ALT=\"B%2B28+=+2A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+2A-28 ALIGN=MIDDLE  ALT=\"B+=+2A-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "C in terms of A:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29A%2F%284C%29+=+2%2F8+=+1%2F4 ALIGN=MIDDLE  ALT=\"%284%2F5%29A%2F%284C%29+=+2%2F8+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29A%2FC+=+1 ALIGN=MIDDLE  ALT=\"%284%2F5%29A%2FC+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%284%2F5%29A ALIGN=MIDDLE  ALT=\"C+=+%284%2F5%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute and solve for A:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+%282A-28%29+%2B+%284%2F5%29A+=+181 ALIGN=MIDDLE  ALT=\"A+%2B+%282A-28%29+%2B+%284%2F5%29A+=+181\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F5%29A+-+28+=+181 ALIGN=MIDDLE  ALT=\"%2819%2F5%29A+-+28+=+181\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819%2F5%29A+=+209 ALIGN=MIDDLE  ALT=\"%2819%2F5%29A+=+209\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%285%2A209%29%2F19+=+5%2A11+=+55 ALIGN=MIDDLE  ALT=\"A+=+%285%2A209%29%2F19+=+5%2A11+=+55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use this value of A to find B and C:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+2A-28+=+110-28+=+82 ALIGN=MIDDLE  ALT=\"B+=+2A-28+=+110-28+=+82\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%284%2F5%29A+=+44 ALIGN=MIDDLE  ALT=\"C+=+%284%2F5%29A+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Original numbers of cookies:<BR>\n" );
document.write( "A = 55<BR>\n" );
document.write( "B = 82<BR>\n" );
document.write( "C = 44<br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );