document.write( "Question 170741: Two plates and a cup together weigh more than three goblets, whereas two goblets and a cup weigh more than two plates. Does a goblet weigh more or less than two cups?\r
\n" ); document.write( "\n" ); document.write( "I'm not sure how to approach this question... do I assign a variable to each unknown? Or use one variable? Then do I solve using the substitution method or...? I'm lost! help!
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Algebra.Com's Answer #126048 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
OK, first take a deep breath.
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\n" ); document.write( "Name your variables.
\n" ); document.write( "G-weight of a goblet
\n" ); document.write( "C-weight of a cup
\n" ); document.write( "P-weight of a plate
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\n" ); document.write( "Next, write down what you know, in mathematical terms.
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\n" ); document.write( "\"Two plates and a cup together weigh more than three goblets\"
\n" ); document.write( "1.\"2%2AP%2BC%3E3G\"
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\n" ); document.write( "\"Two goblets and a cup weigh more than two plates\"
\n" ); document.write( "2.\"2%2AG%2BC%3E2P\"
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\n" ); document.write( "From 1,
\n" ); document.write( "1.\"2%2AP%2BC%3E3G\"
\n" ); document.write( "\"2%2AP%3E3G-C\"
\n" ); document.write( "Let's substitute that into equation 2,
\n" ); document.write( "2.\"2%2AG%2BC%3E2P\"
\n" ); document.write( "Now add what we learned above,
\n" ); document.write( "\"2%2AG%2BC%3E2P%3E3G-C\"
\n" ); document.write( "and remove the 2P from the middle,
\n" ); document.write( "\"2%2AG%2BC%3E3G-C\"
\n" ); document.write( "Add C to both sides and subtract 2G fom both sides,
\n" ); document.write( "\"2C%3EG\"
\n" ); document.write( "or
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\n" ); document.write( "A goblet weighs less than two cups.
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