document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95820>Question 95820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> patty doesn'y feel she is really a child anymore. Ten years ago, her mother was 5 times her age. now she is 3/7 of her mother's age, and in 5 years she will be half of her mother's age. how old will she be when she is half her mother's age? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70218 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m=mother's age p=patty's age<BR>\n" );
document.write( "Now: m=7/3p<BR>\n" );
document.write( "10 years ago: m-10=5(p-10)<BR>\n" );
document.write( "m-10=5p-50<BR>\n" );
document.write( "substitute 7/3p for m in the line above. 7/3p-10=5p-50<BR>\n" );
document.write( "subtract 7/3p and add 50 to both sides. 40=5p-7/3p<BR>\n" );
document.write( "8/3p=40<BR>\n" );
document.write( "divide 8/3 into both sides. p=15 years old m=7/3*15=35 years old<BR>\n" );
document.write( "When will she be 1/2 her mother's age?<BR>\n" );
document.write( "2(15+x)=35+x<BR>\n" );
document.write( "30+2x=35+x<BR>\n" );
document.write( "subtract x and 30 from both sides. x=5 years<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "now: 35*3/7=15 she is 3/7 mom's age<BR>\n" );
document.write( "10 years ago: p=5 m=25 mother was 5x her age.<BR>\n" );
document.write( "in 5 years: p=20 m=40 she will be 1/2 mom's age.<BR>\n" );
document.write( "EdJones<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );