document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471286>Question 471286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Milly is two thirds as old as Marcia.  Four years from now she will be at most five sevenths as old as Marcia.  At least how old is Milly?\r<BR>\n" );
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document.write( "This question needs to be resolved in inequalities. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323254 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=323254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Milly is two thirds as old as Marcia.<BR>\n" );
document.write( " Four years from now she will be at most five sevenths as old as Marcia.<BR>\n" );
document.write( " At least how old is Milly?<BR>\n" );
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document.write( "let mi = Milly's present age<BR>\n" );
document.write( "let ma = Marcia's present age<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"Milly is two thirds as old as Marcia.\"<BR>\n" );
document.write( "mi = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >ma<BR>\n" );
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document.write( "\" Four years from now she will be at most five sevenths as old as Marcia. <BR>\n" );
document.write( "mi + 4 =< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(ma+4)<BR>\n" );
document.write( "multiply both sides by 7<BR>\n" );
document.write( "7(mi+4) =< 5(ma+4)<BR>\n" );
document.write( "7mi + 28 =< 5ma + 20<BR>\n" );
document.write( "7mi =< 5ma + 20 - 28<BR>\n" );
document.write( "7mi =< 5ma - 8<BR>\n" );
document.write( "Replace mi with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >ma<BR>\n" );
document.write( "7(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >ma) =< 5ma - 8<BR>\n" );
document.write( "multiply both sides by 3<BR>\n" );
document.write( "14ma =< 15ma - 24<BR>\n" );
document.write( "14 ma - 15ma =< - 24 <BR>\n" );
document.write( "-1ma =< -24<BR>\n" );
document.write( "multiply both sides by -1, this reverses the inequality sign<BR>\n" );
document.write( "ma => 24<BR>\n" );
document.write( "then<BR>\n" );
document.write( "mi => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*24 <BR>\n" );
document.write( "mi => 16 \r<BR>\n" );
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