document.write( "Question 1182878: Five friends Adam, Bipin, Chen, Dana and Erica all take a maths test. Their
\n" ); document.write( "teacher decides not to tell them their individual marks but gives them the
\n" ); document.write( "following information:
\n" ); document.write( "-Adam, Bipin and Chen together scored 200 marks.
\n" ); document.write( "-Bipin, Chen and Dana together scored 215 marks.
\n" ); document.write( "-Chen, Dana and Erica together scored 224 marks.
\n" ); document.write( "-The two girls (Dana and Erica) scored more than Chen.
\n" ); document.write( "-The five of them together scored 350 marks and each of them scored a whole
\n" ); document.write( "number of marks.
\n" ); document.write( "What were their individual scores?
\n" ); document.write( "I can only solve Chen, which is 74. Then, I don't know how to solve.
\n" ); document.write( "

Algebra.Com's Answer #812991 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "You apparently have done some work on this, so I know you are at least trying to solve the problem yourself. So I will just give you one more hint that should make solving the rest of the problem easy.

\n" ); document.write( "I will guess that your work was something like this....

\n" ); document.write( "A+B+C+D+E = 350

\n" ); document.write( "A+B+C=200, so D+E=150
\n" ); document.write( "C+D+E=224, so A+B=126

\n" ); document.write( "A+B+D+E=276, so C=74

\n" ); document.write( "To finish the problem easily, use this:
\n" ); document.write( "C=74
\n" ); document.write( "C is less than D
\n" ); document.write( "C is less than E
\n" ); document.write( "D+E=150
\n" ); document.write( "D and E are both integers

\n" ); document.write( "That should tell you the scores for D and E; then the rest of the problem is easy.

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