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2. A solo dice game is played where, on each turn, a normal pair of dice is roll

ID: 2289226 • Letter: 2

Question

2. A solo dice game is played where, on each turn, a normal pair of dice is rolled. The score is calculated by taking the product, rather than the sum, of the two numbers shown on the dice. On a particular game. the score for the second roll is five more than the score for the first; the score for the third roll is six less than that of the second; the score for the fourth roll is eleven more than that of the third; and the score for the fifth roll is eight less than that of the fourth. What was the score for each of these five throws? Show all work/reasoning for this solution.

Explanation / Answer

let the score for the 1st be x =

2nd score = 5 + x =

3rd = 5+x - 6 = x - 1 =

4th = 5+x - 6 +11 = x + 10 =

5th = 5+x - 6 +11 - 8 = x + 2

possible solution for x = 1,2,3,4,5,6,8,12,9,15,18,16,20,24,25,30,36

now x is greatr than 1 and less than 26

as score in 3rd mst be positive and score in 4th must be less tnh equal to 36