document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163462>Question 163462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Derek brought raisins for lunch and shared them with some of his classmates. He gave half of his raisins to Mollythen ate one himself. After that he gave half of the remainng to Tricia and ate another on himself. Finally, he gave half of the remaining raisins to Clark, and had 7 raising left. Hoaw amny raisins did Derek start with?<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 #120428 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of raisins that Derek started with\r<BR>\n" );
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document.write( "Molly got x/2 raisins and he ate one which equals (x/2)+1\r<BR>\n" );
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document.write( "He now has x-((x/2)+1) remaining and this equals:<BR>\n" );
document.write( "x-(x/2)-1=((x/2)-1)----remaining\r<BR>\n" );
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document.write( "Tricia got (1/2)((x/2)-1)=(x/4)-1/2 and he ate one which equals (x/4)-(1/2)+1=<BR>\n" );
document.write( "(x/4)+1/2\r<BR>\n" );
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document.write( "He now has remaining:<BR>\n" );
document.write( "(x/2)-1-((x/4+1/2)=<BR>\n" );
document.write( "(x/2)-1-(x/4)-1/2=<BR>\n" );
document.write( "(x/4)-3/2\r<BR>\n" );
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document.write( "Clark got (1/2)((x/4)-3/2)=(x/8)-3/4\r<BR>\n" );
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document.write( "He now has remaiining<BR>\n" );
document.write( "(x/4)-3/2-((x/8)-3/4)=<BR>\n" );
document.write( "(x/8)-3/2 + 3/4=(x/8)-3/4 and this we are told equals 7<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "(x/8)-3/4=7  multiply each term by 8<BR>\n" );
document.write( "x-6=56  subtract 6 from each side<BR>\n" );
document.write( "x-6+6=56-6 collect like terms<BR>\n" );
document.write( "x=50-----------------------number of raisins that Derek started with\r<BR>\n" );
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document.write( "CK:<BR>\n" );
document.write( "Molly got 50/2=25 and he ate  DISABLED_event_one= 24<BR>\n" );
document.write( "so he had 26 left<BR>\n" );
document.write( "Tricia got 26/2=13 and he ate  DISABLED_event_one= 12<BR>\n" );
document.write( "So he had 14 left\r<BR>\n" );
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document.write( "Clark got 14/2=7<BR>\n" );
document.write( "and there's 7 left\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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