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Bullseye II (Posted on 2014-02-25) Difficulty: 3 of 5
  1. Riley, Ricardo and Reuben each fired six shots, and each got 71 points.
  2. Riley's first two shots scored 22 points and Ricardo’s first shot scored only 3 points.
  3. The scores for the 18 shots were as follows:
                  50-----1
                  25-----2
                  20-----3
                  10-----3
                  05-----2
                  03-----2
                  02-----2
                  01-----3
Who scored the Bullseye?

No Solution Yet Submitted by K Sengupta    
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Solution Solution | Comment 1 of 3
Ricardo had the 50 point shot.

Clearly Riley did not hit the bulls-eye.  22 of his points are accounted for, adding 50 puts him at 72.  In fact, the only way to score 49 points in 4 throws is 25+20+3+1 (25+20+2+2 uses too many 2's)
20+2+25+20+3+1 = 71

Looking at Ricardo, if he didn't get the bulls-eye he must have gotten the 20 and 25.  He'd have 23 more points to get with 2 darts - not possible.  Instead he did get the bulls-eye and got altogether
3+50+10+5+3+1 = 71

Reuben got the remaining shots
25+20+10+10+5+1 = 71

  Posted by Jer on 2014-02-25 13:55:35
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