document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233287>Question 233287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A contest winner received one fourth of his winnings in cash, and received four prizes, each worth on fourth of the balance. If the cash and one of the prizes were worth a combined total of 35,000, what was the total value of his winnings?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172244 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A contest winner received one fourth of his winnings in cash, and received four prizes, each worth on fourth of the balance. If the cash and one of the prizes were worth a combined total of 35,000, what was the total value of his winnings?\r<BR>\n" );
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document.write( "Let winnings be W\r<BR>\n" );
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document.write( "Since he received <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of his winnings in cash, then he receives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29W ALIGN=MIDDLE  ALT=\"%281%2F4%29W\"   DISABLED_style= \"max-width:90%; height:auto;\" > in cash. This leaves a remainder of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+-+%281%2F4%29W ALIGN=MIDDLE  ALT=\"W+-+%281%2F4%29W\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29W ALIGN=MIDDLE  ALT=\"%283%2F4%29W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, since the cash he received, plus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the remainder =  35,000\r<BR>\n" );
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document.write( "Then we'll have or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29W+%2B+%281%2F4%29+%2A+%283%2F4%29W+=+35000 ALIGN=MIDDLE  ALT=\"%281%2F4%29W+%2B+%281%2F4%29+%2A+%283%2F4%29W+=+35000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29W+%2B+%283%2F16%29W+=+35000 ALIGN=MIDDLE  ALT=\"%281%2F4%29W+%2B+%283%2F16%29W+=+35000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W+%2B+3W+=+560000 ALIGN=MIDDLE  ALT=\"4W+%2B+3W+=+560000\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> Multiply by LCD, 16\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7W++=++560000 ALIGN=MIDDLE  ALT=\"7W++=++560000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=560000%2F7 ALIGN=MIDDLE  ALT=\"560000%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $80,000\r<BR>\n" );
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document.write( "Therefore, W, or his winnings = $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2880+000%29 ALIGN=MIDDLE  ALT=\"highlight_green%2880+000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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