document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119485>Question 119485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nine pounds of sweet potatoes cost the same as 6 pounds of apples. One pound of sweet potatoes costs twice as much as a pound of onions, while a pound of apples costs 24 cents more than a pound of onions. Find the cost of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87527 by </B><A HREF=/tutors/aboutme.mpl?userid=MaxLiebling><B>MaxLiebling(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MaxLiebling><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nine pounds of sweet potatoes (p) cost the same as 6 pounds of apples (a):<BR>\n" );
document.write( "9*p = 6*a -> 3p = 2a (1)<BR>\n" );
document.write( "One pound of sweet potatoes costs twice as much as a pound of onions (n):<BR>\n" );
document.write( "1*p = 2 * 1*n  ->  p = 2n  ->  3p = 6n (2)<BR>\n" );
document.write( "a pound of apples costs 24 cents more than a pound of onions:<BR>\n" );
document.write( "1*a = 1*n + 24 cent  -> a = n + 24 cent (3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(1) 3p = 2a<BR>\n" );
document.write( "(2) 3p = 6n<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "-> 2a = 6n<BR>\n" );
document.write( "->  a = 3n<BR>\n" );
document.write( "(3) a = n + 24 cent<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "-> 3n = n + 24 cent<BR>\n" );
document.write( "-> 2n = 24 cent<BR>\n" );
document.write( "-> n = 12 cent<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "(3) a = n + 24 cent = 12 cent + 24 cemt = 36 cent<BR>\n" );
document.write( "a = 36 cent<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "(1) 3p = 2a = 2 * 36 cent = 72 cent<BR>\n" );
document.write( "-> p = 24 cent<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "9*p = 6*a<BR>\n" );
document.write( "9*p = 9*24cent = 218 cent<BR>\n" );
document.write( "6*a = 6*36cent = 218 cent ok.\r<BR>\n" );
document.write( "\n" );
document.write( "1*p = 2 * 1*n<BR>\n" );
document.write( "1*p = 24cent<BR>\n" );
document.write( "2*n = 2*12cent = 24cent ok.\r<BR>\n" );
document.write( "\n" );
document.write( "1*a = 1*n + 24 cent <BR>\n" );
document.write( "1*a = 36cent<BR>\n" );
document.write( "n + 24cent = 12cent + 24cent = 36cent ok.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );