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.
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Algebra.Com's Answer #842935 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The numbers are \"nice\", making it easy to solve this problem informally.

\n" ); document.write( "From 40% full to 60% full is an increase of 20%, corresponding to an increase in mass of 189.5-158.3 = 31.2g.

\n" ); document.write( "From 60% full to 100% full is a change of 40%, which is exactly twice the change from 40% to 60%; so the change in mass will be twice the change from 40% to 60%.

\n" ); document.write( "2*31.2g = 62.4g; the mass when the cup is 100% full will be 189.5+62.4 = 251.9g.

\n" ); document.write( "ANSWER: 251.9g

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