document.write( "Question 1205856: Hi
\n" ); document.write( "When a cup is 40% full it has a mass of 158.3g. When it is 60% full it has a mass of 189.5g. What is the mass When it is 100% full. \n" ); document.write( "
Algebra.Com's Answer #842921 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "c = mass of the empty cup, or just the mass of the cup itself ignoring the contents
\n" ); document.write( "w = mass of the water (or whichever liquid) inside when 100% full, ignoring the mass of the cup\r
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\n" ); document.write( "\n" ); document.write( "c+0.40w = is the mass when the cup is 40% full
\n" ); document.write( "c+0.40w = 158.3
\n" ); document.write( "solving for c gets us
\n" ); document.write( "c = 158.3-0.40w\r
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\n" ); document.write( "\n" ); document.write( "c+0.60w = is the mass when the cup is 60% full
\n" ); document.write( "c+0.60w = 189.5\r
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\n" ); document.write( "\n" ); document.write( "Let's plug c = 158.3-0.40w into the other equation
\n" ); document.write( "c+0.60w = 189.5
\n" ); document.write( "158.3-0.40w+0.60w = 189.5
\n" ); document.write( "158.3+0.20w = 189.5
\n" ); document.write( "I'll let the student take over from here.
\n" ); document.write( "Solve that equation to find w.
\n" ); document.write( "Hint: The value of w is between 140 and 160.\r
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\n" ); document.write( "\n" ); document.write( "After determining the value for w, use it to find c.
\n" ); document.write( "The last step is to compute c+w to get your final answer.
\n" ); document.write( "c+w = mass of the cup when 100% full
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