document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468376>Question 468376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a certain fraction, the denominator is 4 less than twice the numerator. If 15 is added to the numerator and subtracted from the denominator, the value of the fraction is 4. Find the original fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321385 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=321385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in a certain fraction, the denominator is 4 less than twice the numerator.<BR>\n" );
document.write( " If 15 is added to the numerator and subtracted from the denominator, the value of the fraction is 4.<BR>\n" );
document.write( " Find the original fraction.<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"the denominator is 4 less than twice the numerator.\"<BR>\n" );
document.write( "d = 2n - 4<BR>\n" );
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document.write( "\"If 15 is added to the numerator and subtracted from the denominator, the value of the fraction is 4.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B15%29%2F%28d-15%29 ALIGN=MIDDLE  ALT=\"%28n%2B15%29%2F%28d-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "n + 15 = 4(d-15)<BR>\n" );
document.write( "n + 15 = 4d - 60<BR>\n" );
document.write( "n = 4d - 60 - 15<BR>\n" );
document.write( "n = 4d - 75<BR>\n" );
document.write( "replace d with (2n-4)<BR>\n" );
document.write( "n = 4(2n-4) - 75<BR>\n" );
document.write( "n = 8n - 16 - 75<BR>\n" );
document.write( "n - 8n - 91<BR>\n" );
document.write( "91 = 8n - n<BR>\n" );
document.write( "91 = 7n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91%2F7 ALIGN=MIDDLE  ALT=\"91%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 13 is the numerator<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = 2(13) - 4<BR>\n" );
document.write( "d = 22<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F22 ALIGN=MIDDLE  ALT=\"13%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original fraction<BR>\n" );
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document.write( "Check this in the statement<BR>\n" );
document.write( "\"If 15 is added to the numerator and subtracted from the denominator, the value of the fraction is 4.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2B15%29%2F%2822-15%29 ALIGN=MIDDLE  ALT=\"%2813%2B15%29%2F%2822-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F7 ALIGN=MIDDLE  ALT=\"28%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );