document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471789>Question 471789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a contest winner received one fourth of his winning in cash and received four prizes each worth one fourth of the balance.if the cash and one of the prizes were worth a combined total of $35000,what was the total value of his winning?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323537 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=323537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a contest winner received one fourth of his winning in cash and received four prizes each worth one fourth of the balance.if the cash and one of the prizes were worth a combined total of $35000,what was the total value of his winning?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=total value of winnings<BR>\n" );
document.write( "x/4=Cash winnings<BR>\n" );
document.write( "3x/4=balance<BR>\n" );
document.write( "1/4 of balance=3x/4*1/4=3x/16=value of one prize<BR>\n" );
document.write( "cash+one prize=x/4+3x/16=35000<BR>\n" );
document.write( "LCD:16<BR>\n" );
document.write( "4x+3x=560000<BR>\n" );
document.write( "7x=560000<BR>\n" );
document.write( "x=80000<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "total value of his winnings=$80,000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );