Thinking Skills
Ava, Bo and Cal each start with 20 marbles. They take turns spinning a wheel that can land on 1, 2, 3 or 4. I…
Question 1 · Multiple choice
Question
Ava, Bo and Cal each start with 20 marbles. They take turns spinning a wheel that can land on 1, 2, 3 or 4. If the number is even, that player gives that many marbles to each of the other two. If the number is odd, that player receives that many marbles from each of the other two. Ava spins 4. Bo spins 3. If they end with 8, 29 and 23 marbles respectively (Ava, Bo, Cal), what did Cal spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
A. 1
Explanation
Everyone starts with 20 marbles. Ava spins 4. Since 4 is even, Ava gives 4 marbles to each of the other two. So Ava loses 8 altogether. New totals: Ava 12, Bo 24, Cal 24 Bo spins 3. Since 3 is odd, Bo receives 3 marbles from Ava and 3 from Cal. So Bo gains 6 altogether. New totals: Ava 9, Bo 30, Cal 21 Now test Cal's possible spin. To finish at 8, 29 and 23, Cal must gain 2 marbles in total, while Ava and Bo each lose 1. That happens when Cal spins 1, because 1 is odd and Cal receives 1 from each of the other two. Check: Ava 9 - 1 = 8 Bo 30 - 1 = 29 Cal 21 + 2 = 23 So Cal spun 1.