document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640123>Question 640123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if i had one dollar and i brought 100 pieces of candy, some at 5 cent each and some at 2 cent each and some at 10 for 1 cents , so how many pieces of  candy did i purchase at each cent.<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 #403074 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=403074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If I had one dollar and I brought 100 pieces of candy;<BR>\n" );
document.write( " some at 5 cent each, and some at 2 cent each, and some at 10 for 1 cents,<BR>\n" );
document.write( " How many pieces of candy did I purchase at each cent.<BR>\n" );
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document.write( "Let x = no. of 5 cent candies<BR>\n" );
document.write( "Let y = no. of 2 cent candies<BR>\n" );
document.write( "Let z = no. of  10 for 1 cent <BR>\n" );
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document.write( "x + y + z = 100 candies<BR>\n" );
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document.write( "5x + 2y + .1z = 100 cents<BR>\n" );
document.write( "We have 3 unknowns and two equations, but we know 10 for one cent,<BR>\n" );
document.write( "candies has to be a multiple of 10, and <100<BR>\n" );
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document.write( "Let z = 70 candies<BR>\n" );
document.write( "x + y + 70 = 100<BR>\n" );
document.write( "x + y = 30; subtracted 70 from both sides<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5x + 2y + .1(70) = 100<BR>\n" );
document.write( "5x + 2y + 7 = 100<BR>\n" );
document.write( "5x + 2y = 93; subtracted 7 from both sides<BR>\n" );
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document.write( "Multiply the 1st equation by 2, subtract from the above equation<BR>\n" );
document.write( "5x + 2y = 93<BR>\n" );
document.write( "2x + 2y = 60<BR>\n" );
document.write( "-------------- subtraction eliminates y, find x<BR>\n" );
document.write( "3x = 33<BR>\n" );
document.write( "x = 11 ea 5 cent candies<BR>\n" );
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document.write( "Find y<BR>\n" );
document.write( "x + y + z = 100<BR>\n" );
document.write( "11 + y + 70 = 100<BR>\n" );
document.write( "y = 100 - 81<BR>\n" );
document.write( "y = 19 ea 2 cent candies<BR>\n" );
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document.write( "See if that works<BR>\n" );
document.write( "5(11) + 2(19) + .1(70) =<BR>\n" );
document.write( "55 + 38 + 7 = 100 cents<BR>\n" );
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document.write( "Summarize <BR>\n" );
document.write( "11 ea 5 cent candies<BR>\n" );
document.write( "19 ea 2 cent candies<BR>\n" );
document.write( "70 ea 10/1 cent candies<BR>\n" );
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