document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202921>Question 1202921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dhruv bought some white sugar and some brown sugar. He used an equal amount of white and brown sugar. He had 3/5 of the while sugar and 1/2 of the brown sugar left. What fraction of the sugar which Dhruv bought was used?\r<BR>\n" );
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document.write( "(1) 4/7\r<BR>\n" );
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document.write( "(2) 4/9\r<BR>\n" );
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document.write( "(3) 5/11\r<BR>\n" );
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document.write( "(4) 7/10<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 #838136 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let W = amount of white sugar he bought<BR>\n" );
document.write( "let B = amount of brown sugar he bought<br><BR>\n" );
document.write( "He had 3/5 of the white sugar left, so he used 2/5 of it; he had 1/2 of the brown sugar left, so he used 1/2 of it.<br><BR>\n" );
document.write( "He used equal amounts of white and brown sugar:<br><BR>\n" );
document.write( "(2/5)W = (1/2)B<BR>\n" );
document.write( ".4W = .5B<br><BR>\n" );
document.write( "Use that to find the ratio of white sugar to brown sugar:<br><BR>\n" );
document.write( "W/B = .5/.4 = 5/4<BR>\n" );
document.write( "W:B = 5:4<br><BR>\n" );
document.write( "Having that ratio...<BR>\n" );
document.write( "let 5x be the amount of white sugar he bought<BR>\n" );
document.write( "let 4x be the amount of brown sugar he bought<br><BR>\n" );
document.write( "The total amount of sugar he bought was 5x+4x = 9x.<br><BR>\n" );
document.write( "He used 2/5 of the white sugar: (2/5)(5x) = 2x;<BR>\n" );
document.write( "He used 1/2 of the brown sugar: (1/2)(4x) = 2x.<br><BR>\n" );
document.write( "The total he used was 2x+2x = 4x.<br><BR>\n" );
document.write( "The fraction of the sugar that he used was (4x)/(9x) = 4/9.<br><BR>\n" );
document.write( "ANSWER: 4/9<br><BR>\n" );
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