### Brain Teasers

# The Dice Game

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 Xavier and Rex each got on their third turn and how many points each face is worth?

Xavier 3: 1, 2, 2, 3, 4 = ?

Rex 3: 1, 3, 4, 6, 6 = ?

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 Xavier and Rex each got on their 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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