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algebra intermediate
Problem
Allie and Betty play a game where they take turns rolling a standard die. If a player rolls , she is awarded points, where Allie rolls the die four times and gets a 5, 4, 1, and 2. Betty rolls and gets 6, 3, 3, and 2. What is the product of Allie's total points and Betty's total points?
Solution
For Allie, 5 and 1 get her no points since they are not multiples of 2, while 4 and 2 are multiples of 2 and each get her 2 points for a total of 4 points. For Betty, 3 and 3 get her no points, 2 gets her 2 points, and 6 is a multiple of 2 and 3, so it gets her 6 points. So, Betty has a total of 8 points and the product of Allie and Betty's total points is .
Final answer
32