document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312834>Question 312834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of coins is to be divided amongst 3 people so that the second person has 8 more than the first person and the third person has 6 fewer coins than the second,how many coins should each person get?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223774 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = total number of coins in the collection<BR>\n" );
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document.write( "w, y, z, the number of coins had by each person<BR>\n" );
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document.write( "A collection of coins is to be divided amongst 3 people so that <BR>\n" );
document.write( "\"the second person has 8 more than the first person\"<BR>\n" );
document.write( "y = w+8<BR>\n" );
document.write( "Or<BR>\n" );
document.write( "w = y-8<BR>\n" );
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document.write( "\" and the third person has 6 fewer coins than the second,\"<BR>\n" );
document.write( "z = y-6<BR>\n" );
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document.write( "how many coins should each person get?<BR>\n" );
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document.write( "w + y + z = x<BR>\n" );
document.write( "replace w & z<BR>\n" );
document.write( "(y-8) + y + (y-6) = x<BR>\n" );
document.write( "3y - 14 = x<BR>\n" );
document.write( "3y = x + 14<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F3 ALIGN=MIDDLE  ALT=\"14%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We know y > 8 and is an integer, using the above equation:<BR>\n" );
document.write( "when x = 13, y = 9<BR>\n" );
document.write( "see if that works<BR>\n" );
document.write( "w = 9 - 8<BR>\n" );
document.write( "w = 1<BR>\n" );
document.write( "z = 9 - 6<BR>\n" );
document.write( "z = 3<BR>\n" );
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document.write( "Total 1 + 9 + 3 = 13<BR>\n" );
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document.write( "However, there are many other solutions<BR>\n" );
document.write( "x=16, y=10<BR>\n" );
document.write( "x=19, y=11<BR>\n" );
document.write( "x=22, y=12 are just a few<BR>\n" );
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