Xavier and Rex were playing a game that involved 5 dice. In each turn, they would roll the 5 dice. Each face of the die is worth a different amount of points. On their first 2 shots, they rolled this:
Xavier 1: 1, 3, 3, 4, 6 = 177 points
Rex 1: 2, 4, 4, 5, 6 = 268 points
Xavier 2: 1, 1, 1, 4, 4 = 203 points
Rex 2: 1, 2, 3, 4, 6 = 216 points
Using this information, can you work out how many points each of Xavier and Rex got on his third turn and how many points each face is worth?
Xavier 3: 1, 2, 2, 3, 4 = ?
Rex 3: 1, 3, 4, 6, 6 = ?
Hint
Xavier scored more than Rex and the difference between the two total scores is 26 points.
Answer
Xavier: 281 (Total: 661) Rex: 151 (Total: 635)
1 = 25 points 2 = 77 points
3 = 38 points 4 = 64 points
5 = 51 points 6 = 12 points
From Xavier’s first shot and Rex’s second shot, we can deduce that a 2 is worth more than a 3. From Xavier’s second shot, we can deduce that a 1 is worth an odd number. By trial and error we can work out the value of each face.
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