document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058442>Question 1058442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem:Rose is 6 years older than his sister Cora in 4 years she will be 9 years more than 1/2 as old as Cora. how old are the girls now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673495 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=673495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Cora's age now<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6 ALIGN=MIDDLE  ALT=\"x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Rose's age now.<BR>\n" );
document.write( "In 4 years, Cora's age will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4 ALIGN=MIDDLE  ALT=\"x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and Rose's age will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6%2B4 ALIGN=MIDDLE  ALT=\"x%2B6%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The problem says that will be<BR>\n" );
document.write( "9 more than half Cora's age,<BR>\n" );
document.write( "which would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F2%2B9 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So,our equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6%2B4=%28x%2B4%29%2F2%2B9 ALIGN=MIDDLE  ALT=\"x%2B6%2B4=%28x%2B4%29%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "There are many different paths to the solution.<BR>\n" );
document.write( "Solve that equation whatever way feels comfortable to you.<BR>\n" );
document.write( "This is how I would \"show my work.\"<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;\" >= Cora's age<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6 ALIGN=MIDDLE  ALT=\"x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Rose's age<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6%2B4=%28x%2B4%29%2F2%2B9 ALIGN=MIDDLE  ALT=\"x%2B6%2B4=%28x%2B4%29%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10=%28x%2B4%29%2F2%2B9 ALIGN=MIDDLE  ALT=\"x%2B10=%28x%2B4%29%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=x%2B4%2B18 ALIGN=MIDDLE  ALT=\"2x%2B20=x%2B4%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=x%2B22 ALIGN=MIDDLE  ALT=\"2x%2B20=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-x=22-20 ALIGN=MIDDLE  ALT=\"2x-x=22-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%7D%0D%0A%7B%7B%7Bx%2B6=2%2B6 ALIGN=MIDDLE  ALT=\"x=2%7D%0D%0A%7B%7B%7Bx%2B6=2%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=8 ALIGN=MIDDLE  ALT=\"x%2B6=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cora is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29 ALIGN=MIDDLE  ALT=\"highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and Rose is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%29 ALIGN=MIDDLE  ALT=\"highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Checking: In 4 years, Cora will be 6 and Rose will be 12.<BR>\n" );
document.write( "Half of Cora's age will be 3, and 9 more than that will be 12.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Explanation for my equation solving steps:<BR>\n" );
document.write( "To \"eliminate denominators\" I multiplied both sides of the equal sign times the 2 that appeared in the denominator.<BR>\n" );
document.write( "In baby steps, that would take me<BR>\n" );
document.write( "from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10=%28x%2B4%29%2F2%2B9 ALIGN=MIDDLE  ALT=\"x%2B10=%28x%2B4%29%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x%2B10%29=2%2A%28%28x%2B4%29%2F2%2B9%29 ALIGN=MIDDLE  ALT=\"2%2A%28x%2B10%29=2%2A%28%28x%2B4%29%2F2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Applying the distributive property, that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2%2A10=2%2A%28%28x%2B4%29%2F2%29%2B2%2A9 ALIGN=MIDDLE  ALT=\"2x%2B2%2A10=2%2A%28%28x%2B4%29%2F2%29%2B2%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then,I simplify that to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=%28x%2B4%29%2B18 ALIGN=MIDDLE  ALT=\"2x%2B20=%28x%2B4%29%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=x%2B4%2B18 ALIGN=MIDDLE  ALT=\"2x%2B20=x%2B4%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" > and to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=x%2B22 ALIGN=MIDDLE  ALT=\"2x%2B20=x%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "I do not write all those baby steps,<BR>\n" );
document.write( "I just do them in my head.<BR>\n" );
document.write( "In the next step,<BR>\n" );
document.write( "I add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-20 ALIGN=MIDDLE  ALT=\"-x-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the equation,<BR>\n" );
document.write( "or subtract x and 20 from both sides of the equation,<BR>\n" );
document.write( "to have all the x's on one side and a'll the numbers without x's on the other.<BR>\n" );
document.write( "I could have done that in two steps<BR>\n" );
document.write( "if I had a teacher who liked it better that way. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );