Question 1182878
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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.<br>
I will guess that your work was something like this....<br>
A+B+C+D+E = 350<br>
A+B+C=200, so D+E=150
C+D+E=224, so A+B=126<br>
A+B+D+E=276, so C=74<br>
To finish the problem easily, use this:
C=74
C is less than D
C is less than E
D+E=150
D and E are both integers<br>
That should tell you the scores for D and E; then the rest of the problem is easy.<br>