document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012831>Question 1012831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Danny had some stickers. He gave one-third of the stickers plus 1 sticker to his brother. Then he gave one-third or the remaining stickers plus 4 stickers to his sister. Finally, he gave one-half of what remained plus 3 stickers to his best friend. He found that he had 4 stickers left. How many stickers did Danny have at first?\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 #629028 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Start at the end and work backwards.<BR>\n" );
document.write( "Danny has 4 stickers. <BR>\n" );
document.write( "\"He gave one-half of what remained plus 3 stickers to his best friend.\"<BR>\n" );
document.write( "If he takes back the extra 3, he has 7 (which is half) and his friend has seven.<BR>\n" );
document.write( "If he takes back 7, he has 14.<BR>\n" );
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document.write( "He gave one-third of the remaining stickers plus 4 stickers to his sister<BR>\n" );
document.write( "If he takes back the 4, he has 18.<BR>\n" );
document.write( "This is two thirds of what he had before he gave 1/3 to sister, <BR>\n" );
document.write( "so the 1/3 he gave sister was 9.<BR>\n" );
document.write( "If he takes back 9, he has 27.<BR>\n" );
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document.write( "He gave one-third of the stickers plus 1 sticker to his brother.<BR>\n" );
document.write( "If he takes back the 1, he has 28.  <BR>\n" );
document.write( "This is two thirds of what he had before he gave 1/3 to brother, <BR>\n" );
document.write( "so the 1/3 he gave brother was 14.<BR>\n" );
document.write( "If he takes back 14, he has 42.<BR>\n" );
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document.write( "CHECK: (Go through it forward)<BR>\n" );
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document.write( "He had 42 to start.<BR>\n" );
document.write( "He gave 1/3 + 1 to brother<BR>\n" );
document.write( "1/3(42)+1=14+1=15<BR>\n" );
document.write( "42-15=27<BR>\n" );
document.write( "He has 27 after brother.<BR>\n" );
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document.write( "He gave 1/3 + 4 to sister.<BR>\n" );
document.write( "1/3(27)+4=9+4=13<BR>\n" );
document.write( "27-13=14<BR>\n" );
document.write( "He has 14 left after sister.<BR>\n" );
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document.write( "He gave 1/2 + 3 to friend.<BR>\n" );
document.write( "1/2(14)+3=7+3=10<BR>\n" );
document.write( "14-10=4<BR>\n" );
document.write( "He has 4 left after friend.<BR>\n" );
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document.write( "Exactly as he should.\r<BR>\n" );
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