document.write( "Question 1182878: Five friends Adam, Bipin, Chen, Dana and Erica all take a maths test. Their
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document.write( "teacher decides not to tell them their individual marks but gives them the
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document.write( "following information:
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document.write( "-Adam, Bipin and Chen together scored 200 marks.
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document.write( "-Bipin, Chen and Dana together scored 215 marks.
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document.write( "-Chen, Dana and Erica together scored 224 marks.
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document.write( "-The two girls (Dana and Erica) scored more than Chen.
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document.write( "-The five of them together scored 350 marks and each of them scored a whole
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document.write( "number of marks.
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document.write( "What were their individual scores?
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document.write( "I can only solve Chen, which is 74. Then, I don't know how to solve. \n" );
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Algebra.Com's Answer #812991 by greenestamps(13200)![]() ![]() 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. \n" ); document.write( " \n" ); document.write( " |