document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535592>Question 535592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Mr. Soriano 4 days longer to prepare an order of pies than it takes Mrs. Pascual. Together they baked some pies for 2 days and then Mrs. Pascual left. Mr. Soriano took 7 additional days to complete the order of pies. Working alone, how long would it have taken Mrs. Pascual to prepare the pies? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351962 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=351962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes Mr. Soriano 4 days longer to prepare an order of pies than it takes Mrs. Pascual. <BR>\n" );
document.write( "Together they baked some pies for 2 days and then Mrs. Pascual left.<BR>\n" );
document.write( " Mr. Soriano took 7 additional days to complete the order of pies.<BR>\n" );
document.write( " Working alone, how long would it have taken Mrs. Pascual to prepare the pies?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let p = Mrs. time to make the pies alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(p+4) = Mr. time to do it<BR>\n" );
document.write( "Let the completed job = 1, (an order of pies)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation, Mr. worked to total of 9 days<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28%28p%2B4%29%29 ALIGN=MIDDLE  ALT=\"9%2F%28%28p%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fp ALIGN=MIDDLE  ALT=\"2%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by p(p+4)<BR>\n" );
document.write( "9p + 2(p+4) = p(p+4)<BR>\n" );
document.write( "9p + 2p + 8 = p^2 + 4p<BR>\n" );
document.write( "11p + 8 = p^2 + 4p<BR>\n" );
document.write( "combine like terms on the right<BR>\n" );
document.write( "0 = p^2 + 4p - 11p - 8<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "p^2 - 7p - 8 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(p-8)(p+1) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "p = 8 days for Mrs. working alone </SPAN>\n" );
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