document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189587>Question 1189587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill did 1/5 of his homework problems during study hall. He did 5/8 of the remaining problems at home. Of the questions remaining, he could not do 1/4 of them. What is the ratio of homework questions he did not know how to do to the homework questions he did know how to do? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820996 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of homework assignments he had to do in total.<BR>\n" );
document.write( "he did 1/5 of his assignments in study hall.<BR>\n" );
document.write( "he did 5/8 of the remaining 4/5 of his assignments at home.<BR>\n" );
document.write( "total that he did was:<BR>\n" );
document.write( "1/5 * x + 5/8 * 4/5 * x = .7 * x<BR>\n" );
document.write( "that means he had .3 * x left to do.<BR>\n" );
document.write( "of these, he couldn't do 1/4 of them.<BR>\n" );
document.write( "that means he could not do 1/4 * .3 = .075 * x.<BR>\n" );
document.write( "the total that he could do was (1 - .075) * x = .925 * x.<BR>\n" );
document.write( "the ratio of the ones he couldn't do to the ones that he could do is .075 /.925 = 3/37.\r<BR>\n" );
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document.write( "to see how this works, assume the total number of homework assignments is 40.<BR>\n" );
document.write( "he did 1/5 * 40 = 8 in study hall.<BR>\n" );
document.write( "he had 32 left to do.<BR>\n" );
document.write( "he did 5/8 * 32 at home = 20<BR>\n" );
document.write( "total he did was 8 + 20 = 28.<BR>\n" );
document.write( "he had 40 - 28 = 12 left to do.<BR>\n" );
document.write( "he couldn't do 1/4 of 12 = 3.<BR>\n" );
document.write( "out of the 40, he couldn't do 3 and he could do 37.<BR>\n" );
document.write( "the ratio of the ones he couldn't do to the ones he could do was 3/37.\r<BR>\n" );
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document.write( "solution looks good.<BR>\n" );
document.write( "solution is that the ratio of the ones he couldn't do to the ones he could do is 3/37.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );