document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108796>Question 1108796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten years ago, Patty's mother was five times her age. Now, Patty is three sevenths of her mother's age. In five years, Patty 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 #723874 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=723874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m = the mother's age now<BR>\n" );
document.write( "p = patti's age now<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Ten years ago, Patty's mother was five times her age.<BR>\n" );
document.write( "m - 10 = 5(p-10)<BR>\n" );
document.write( "m - 10 = 5p - 50<BR>\n" );
document.write( "m = 5p - 50 + 10<BR>\n" );
document.write( "m = 5p - 40<BR>\n" );
document.write( " Now, Patty is three sevenths of her mother's age.<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( " In five years, Patty will be half of her mother's age.<BR>\n" );
document.write( "p + 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(m+5)<BR>\n" );
document.write( "multiply 2 to get rid of the fraction<BR>\n" );
document.write( "2(p + 5) = m + 5<BR>\n" );
document.write( "2p + 10 = m + 5<BR>\n" );
document.write( "2p = m + 5 - 10<BR>\n" );
document.write( "2p = m - 5<BR>\n" );
document.write( "replace m with (5p - 40)<BR>\n" );
document.write( "2p = (5p-40) - 5<BR>\n" );
document.write( "2p = 5p - 45<BR>\n" );
document.write( "2p - 5p = -45<BR>\n" );
document.write( "-3p = -45<BR>\n" );
document.write( "p = -45/-3<BR>\n" );
document.write( "p = +15 yrs is Patti's age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >m = 15<BR>\n" );
document.write( "m = 15 *<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = 35 yrs is mom's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How old will she be when she is half her mother's age?<BR>\n" );
document.write( "\"In five years, Patty will be half of her mother's age.\" therefore<BR>\n" );
document.write( "15 + 5 = 20 yrs old when half mom's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we can confirm this because mom's age 35 + 5 = 40\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );