document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199193>Question 1199193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "A tin of cookies is 630g when 1/2 full and 855g when 7/9 full. How many kilograms of cookies can the tin hold when full.\r<BR>\n" );
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document.write( "Thanks<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 #832935 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "When you mention something like \"A tin of cookies is 630g\", I'm assuming you mean the contents and the container itself combine to 630 grams.\r<BR>\n" );
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document.write( "c = weight of the container only<BR>\n" );
document.write( "x = weight of all the cookies only when the container is full<BR>\n" );
document.write( "weights are in grams\r<BR>\n" );
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document.write( "(1/2)x = container is half full<BR>\n" );
document.write( "(1/2)x + c = 630\r<BR>\n" );
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document.write( "(7/9)x + c = 855\r<BR>\n" );
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document.write( "We have this system of equations<BR>\n" );
document.write( "(1/2)x + c = 630<BR>\n" );
document.write( "(7/9)x + c = 855\r<BR>\n" );
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document.write( "I'll rearrange them to this<BR>\n" );
document.write( "(7/9)x + c = 855<BR>\n" );
document.write( "(1/2)x + c = 630\r<BR>\n" );
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document.write( "Subtract those equations straight down.<BR>\n" );
document.write( "It allows us to solve for x.<BR>\n" );
document.write( "(7/9)x - (1/2)x + c - c = 855 - 630<BR>\n" );
document.write( "(7/9-1/2)x  = 225<BR>\n" );
document.write( "(14/18-9/18)x  = 225<BR>\n" );
document.write( "(5/18)x  = 225<BR>\n" );
document.write( "x = 225*(18/5)<BR>\n" );
document.write( "x = 810<BR>\n" );
document.write( "The container can hold at most 810 grams of cookies.<BR>\n" );
document.write( "This ignores the weight of the empty container itself.\r<BR>\n" );
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document.write( "Divide by 1000 to convert from grams to kilograms<BR>\n" );
document.write( "810 g = (810/1000) kg = 0.81 kg\r<BR>\n" );
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document.write( "Answer: 0.81 kg<BR>\n" );
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