document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163025>Question 1163025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Prince picked a basket full of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples plus two more. The prince gave him the apples and set off again. A little further on, he was stopped by a second troll guard. This troll demanded payment of one-half of the apples the prince now had plus two more. The prince paid him and set off again. Just before leaving the enchanted orchard, a third troll stopped him and demanded one-half of his remaining apples plus two more. The prince paid him and sadly went home. He had only two golden apples left.\r<BR>\n" );
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document.write( "(a)	How many apples had he picked? (show all your workings) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786966 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> He had two left. <BR>\n" );
document.write( "He had eight before the third troll (gave half + 2 more).<BR>\n" );
document.write( "he had 20 before the second troll<BR>\n" );
document.write( "He had 44 before the first troll.\r<BR>\n" );
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document.write( "start with 8x+16 apples, so can easily divide by 2<BR>\n" );
document.write( "gives away 4x+8+2 and now has 4x+6 apples<BR>\n" );
document.write( "gives away 2x+3+2 and now has 2x+1 apples<BR>\n" );
document.write( "gives away x+0.5+2 and now has x-1.5 apples=2<BR>\n" );
document.write( "therefore 2x-3=4<BR>\n" );
document.write( "2x=7 apples<BR>\n" );
document.write( "8x=28 apples<BR>\n" );
document.write( "8x+16=44 apples. </SPAN>\n" );
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